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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" xml:lang="en"><?properties open_access?><front><journal-meta><journal-id journal-id-type="publisher-id">10052</journal-id><journal-title-group><journal-title>The European Physical Journal C</journal-title><journal-subtitle>Particles and Fields</journal-subtitle><abbrev-journal-title abbrev-type="publisher">Eur. Phys. J. C</abbrev-journal-title></journal-title-group><issn pub-type="ppub">1434-6044</issn><issn pub-type="epub">1434-6052</issn><publisher><publisher-name>Springer Berlin Heidelberg</publisher-name><publisher-loc>Berlin/Heidelberg</publisher-loc></publisher><custom-meta-group><custom-meta><meta-name>toc-levels</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>volume-type</meta-name><meta-value>Regular</meta-value></custom-meta><custom-meta><meta-name>journal-subject-primary</meta-name><meta-value>Physics</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Elementary Particles, Quantum Field Theory</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Nuclear Physics, Heavy Ions, Hadrons</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Quantum Field Theories, String Theory</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Measurement Science and Instrumentation</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Astronomy, Astrophysics and Cosmology</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Nuclear Energy</meta-value></custom-meta><custom-meta><meta-name>journal-product</meta-name><meta-value>NonStandardArchiveJournal</meta-value></custom-meta><custom-meta><meta-name>numbering-style</meta-name><meta-value>ContentOnly</meta-value></custom-meta></custom-meta-group></journal-meta><article-meta><article-id pub-id-type="publisher-id">s10052-017-5178-x</article-id><article-id pub-id-type="manuscript">5178</article-id><article-id pub-id-type="doi">10.1140/epjc/s10052-017-5178-x</article-id><article-categories><subj-group subj-group-type="heading"><subject>Regular Article - Experimental Physics</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Updated search for long-lived particles decaying to jet pairs</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Aaij</surname><given-names>R.</given-names></name><xref ref-type="aff" rid="Aff40">40</xref></contrib><contrib contrib-type="author"><name><surname>Adeva</surname><given-names>B.</given-names></name><xref ref-type="aff" rid="Aff39">39</xref></contrib><contrib contrib-type="author"><name><surname>Adinolfi</surname><given-names>M.</given-names></name><xref ref-type="aff" rid="Aff48">48</xref></contrib><contrib contrib-type="author"><name><surname>Ajaltouni</surname><given-names>Z.</given-names></name><xref ref-type="aff" rid="Aff5">5</xref></contrib><contrib contrib-type="author"><name><surname>Akar</surname><given-names>S.</given-names></name><xref ref-type="aff" rid="Aff59">59</xref></contrib><contrib contrib-type="author"><name><surname>Albrecht</surname><given-names>J.</given-names></name><xref ref-type="aff" rid="Aff10">10</xref></contrib><contrib contrib-type="author"><name><surname>Alessio</surname><given-names>F.</given-names></name><xref ref-type="aff" rid="Aff40">40</xref></contrib><contrib contrib-type="author"><name><surname>Alexander</surname><given-names>M.</given-names></name><xref ref-type="aff" rid="Aff53">53</xref></contrib><contrib contrib-type="author"><name><surname>Ali</surname><given-names>S.</given-names></name><xref ref-type="aff" rid="Aff43">43</xref></contrib><contrib contrib-type="author"><name><surname>Alkhazov</surname><given-names>G.</given-names></name><xref ref-type="aff" rid="Aff31">31</xref></contrib><contrib contrib-type="author"><name><surname>Alvarez Cartelle</surname><given-names>P.</given-names></name><xref ref-type="aff" rid="Aff55">55</xref></contrib><contrib contrib-type="author"><name><surname>Alves</surname><given-names>A. 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K.</given-names></name><xref ref-type="aff" rid="Aff47">47</xref></contrib><contrib contrib-type="author"><name><surname>Websdale</surname><given-names>D.</given-names></name><xref ref-type="aff" rid="Aff55">55</xref></contrib><contrib contrib-type="author"><name><surname>Weiden</surname><given-names>A.</given-names></name><xref ref-type="aff" rid="Aff42">42</xref></contrib><contrib contrib-type="author"><name><surname>Whitehead</surname><given-names>M.</given-names></name><xref ref-type="aff" rid="Aff40">40</xref></contrib><contrib contrib-type="author"><name><surname>Wicht</surname><given-names>J.</given-names></name><xref ref-type="aff" rid="Aff50">50</xref></contrib><contrib contrib-type="author"><name><surname>Wilkinson</surname><given-names>G.</given-names></name><xref ref-type="aff" rid="Aff40">40</xref><xref ref-type="aff" rid="Aff57">57</xref></contrib><contrib contrib-type="author"><name><surname>Wilkinson</surname><given-names>M.</given-names></name><xref ref-type="aff" rid="Aff61">61</xref></contrib><contrib contrib-type="author"><name><surname>Williams</surname><given-names>M.</given-names></name><xref ref-type="aff" rid="Aff40">40</xref></contrib><contrib contrib-type="author"><name><surname>Williams</surname><given-names>M. 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A.</given-names></name><xref ref-type="aff" rid="Aff7">7</xref></contrib><contrib contrib-type="author"><name><surname>Wishahi</surname><given-names>J.</given-names></name><xref ref-type="aff" rid="Aff10">10</xref></contrib><contrib contrib-type="author"><name><surname>Wislicki</surname><given-names>W.</given-names></name><xref ref-type="aff" rid="Aff29">29</xref></contrib><contrib contrib-type="author"><name><surname>Witek</surname><given-names>M.</given-names></name><xref ref-type="aff" rid="Aff27">27</xref></contrib><contrib contrib-type="author"><name><surname>Wormser</surname><given-names>G.</given-names></name><xref ref-type="aff" rid="Aff7">7</xref></contrib><contrib contrib-type="author"><name><surname>Wotton</surname><given-names>S. A.</given-names></name><xref ref-type="aff" rid="Aff49">49</xref></contrib><contrib contrib-type="author"><name><surname>Wraight</surname><given-names>K.</given-names></name><xref ref-type="aff" rid="Aff53">53</xref></contrib><contrib contrib-type="author"><name><surname>Wyllie</surname><given-names>K.</given-names></name><xref ref-type="aff" rid="Aff40">40</xref></contrib><contrib contrib-type="author"><name><surname>Xie</surname><given-names>Y.</given-names></name><xref ref-type="aff" rid="Aff65">65</xref></contrib><contrib contrib-type="author"><name><surname>Xu</surname><given-names>Z.</given-names></name><xref ref-type="aff" rid="Aff4">4</xref></contrib><contrib contrib-type="author"><name><surname>Yang</surname><given-names>Z.</given-names></name><xref ref-type="aff" rid="Aff3">3</xref></contrib><contrib contrib-type="author"><name><surname>Yao</surname><given-names>Y.</given-names></name><xref ref-type="aff" rid="Aff61">61</xref></contrib><contrib contrib-type="author"><name><surname>Yin</surname><given-names>H.</given-names></name><xref ref-type="aff" rid="Aff65">65</xref></contrib><contrib contrib-type="author"><name><surname>Yu</surname><given-names>J.</given-names></name><xref ref-type="aff" rid="Aff65">65</xref></contrib><contrib contrib-type="author"><name><surname>Yuan</surname><given-names>X.</given-names></name><xref ref-type="aff" rid="Aff36">36</xref></contrib><contrib contrib-type="author"><name><surname>Yushchenko</surname><given-names>O.</given-names></name><xref ref-type="aff" rid="Aff37">37</xref></contrib><contrib contrib-type="author"><name><surname>Zarebski</surname><given-names>K. A.</given-names></name><xref ref-type="aff" rid="Aff47">47</xref></contrib><contrib contrib-type="author"><name><surname>Zavertyaev</surname><given-names>M.</given-names></name><xref ref-type="aff" rid="Aff11">11</xref></contrib><contrib contrib-type="author"><name><surname>Zhang</surname><given-names>L.</given-names></name><xref ref-type="aff" rid="Aff3">3</xref></contrib><contrib contrib-type="author"><name><surname>Zhang</surname><given-names>Y.</given-names></name><xref ref-type="aff" rid="Aff7">7</xref></contrib><contrib contrib-type="author"><name><surname>Zhelezov</surname><given-names>A.</given-names></name><xref ref-type="aff" rid="Aff12">12</xref></contrib><contrib contrib-type="author"><name><surname>Zheng</surname><given-names>Y.</given-names></name><xref ref-type="aff" rid="Aff63">63</xref></contrib><contrib contrib-type="author"><name><surname>Zhu</surname><given-names>X.</given-names></name><xref ref-type="aff" rid="Aff3">3</xref></contrib><contrib contrib-type="author"><name><surname>Zhukov</surname><given-names>V.</given-names></name><xref ref-type="aff" rid="Aff33">33</xref></contrib><contrib contrib-type="author"><name><surname>Zucchelli</surname><given-names>S.</given-names></name><xref ref-type="aff" rid="Aff15">15</xref></contrib><contrib contrib-type="author" corresp="yes"><collab>LHCb Collaboration</collab><xref ref-type="aff" rid="Aff71">71</xref><xref ref-type="corresp" rid="cor1">a</xref></contrib><aff id="Aff1"><label>1</label><institution-wrap><institution content-type="org-name">Centro Brasileiro de Pesquisas Físicas (CBPF)</institution><institution-id institution-id-type="ISNI">0000 0004 0643 8134</institution-id><institution-id institution-id-type="GRID">grid.418228.5</institution-id></institution-wrap><addr-line content-type="city">Rio de Janeiro</addr-line><country country="BR">Brazil</country></aff><aff id="Aff2"><label>2</label><institution-wrap><institution content-type="org-name">Universidade Federal do Rio de Janeiro (UFRJ)</institution><institution-id institution-id-type="ISNI">0000 0001 2294 473X</institution-id><institution-id institution-id-type="GRID">grid.8536.8</institution-id></institution-wrap><addr-line content-type="city">Rio de Janeiro</addr-line><country country="BR">Brazil</country></aff><aff id="Aff3"><label>3</label><institution content-type="org-division">Center for High Energy Physics</institution><institution-wrap><institution content-type="org-name">Tsinghua University</institution><institution-id institution-id-type="ISNI">0000 0001 0662 3178</institution-id><institution-id institution-id-type="GRID">grid.12527.33</institution-id></institution-wrap><addr-line content-type="city">Beijing</addr-line><country country="CN">China</country></aff><aff id="Aff4"><label>4</label><institution-wrap><institution content-type="org-name">LAPP, Université Savoie Mont-Blanc, CNRS/IN2P3</institution><institution-id institution-id-type="ISNI">0000 0001 2276 7382</institution-id><institution-id institution-id-type="GRID">grid.450330.1</institution-id></institution-wrap><addr-line content-type="city">Annecy-Le-Vieux</addr-line><country country="FR">France</country></aff><aff id="Aff5"><label>5</label><institution-wrap><institution content-type="org-name">Clermont Université, Université Blaise Pascal, CNRS/IN2P3, LPC</institution><institution-id institution-id-type="ISNI">0000 0004 0623 3622</institution-id><institution-id institution-id-type="GRID">grid.470921.9</institution-id></institution-wrap><addr-line content-type="city">Clermont-Ferrand</addr-line><country country="FR">France</country></aff><aff id="Aff6"><label>6</label><institution-wrap><institution content-type="org-name">CPPM, Aix-Marseille Université, CNRS/IN2P3</institution><institution-id institution-id-type="ISNI">0000 0004 0452 0652</institution-id><institution-id institution-id-type="GRID">grid.470046.1</institution-id></institution-wrap><addr-line content-type="city">Marseille</addr-line><country country="FR">France</country></aff><aff id="Aff7"><label>7</label><institution-wrap><institution content-type="org-name">LAL, Université Paris-Sud, CNRS/IN2P3</institution><institution-id institution-id-type="ISNI">0000 0001 0278 4900</institution-id><institution-id institution-id-type="GRID">grid.462450.1</institution-id></institution-wrap><addr-line content-type="city">Orsay</addr-line><country country="FR">France</country></aff><aff id="Aff8"><label>8</label><institution-wrap><institution content-type="org-name">LPNHE, Université Pierre et Marie Curie, Université Paris Diderot, CNRS/IN2P3</institution><institution-id institution-id-type="ISNI">0000 0000 9463 7096</institution-id><institution-id institution-id-type="GRID">grid.463935.e</institution-id></institution-wrap><addr-line content-type="city">Paris</addr-line><country country="FR">France</country></aff><aff id="Aff9"><label>9</label><institution content-type="org-division">I. Physikalisches Institut</institution><institution-wrap><institution content-type="org-name">RWTH Aachen University</institution><institution-id institution-id-type="ISNI">0000 0001 0728 696X</institution-id><institution-id institution-id-type="GRID">grid.1957.a</institution-id></institution-wrap><addr-line content-type="city">Aachen</addr-line><country country="DE">Germany</country></aff><aff id="Aff10"><label>10</label><institution content-type="org-division">Fakultät Physik</institution><institution-wrap><institution content-type="org-name">Technische Universität Dortmund</institution><institution-id institution-id-type="ISNI">0000 0001 0416 9637</institution-id><institution-id institution-id-type="GRID">grid.5675.1</institution-id></institution-wrap><addr-line content-type="city">Dortmund</addr-line><country country="DE">Germany</country></aff><aff id="Aff11"><label>11</label><institution-wrap><institution content-type="org-name">Max-Planck-Institut für Kernphysik (MPIK)</institution><institution-id institution-id-type="ISNI">0000 0001 2288 6103</institution-id><institution-id institution-id-type="GRID">grid.419604.e</institution-id></institution-wrap><addr-line content-type="city">Heidelberg</addr-line><country country="DE">Germany</country></aff><aff id="Aff12"><label>12</label><institution content-type="org-division">Physikalisches Institut</institution><institution-wrap><institution content-type="org-name">Ruprecht-Karls-Universität Heidelberg</institution><institution-id institution-id-type="ISNI">0000 0001 2190 4373</institution-id><institution-id institution-id-type="GRID">grid.7700.0</institution-id></institution-wrap><addr-line content-type="city">Heidelberg</addr-line><country country="DE">Germany</country></aff><aff id="Aff13"><label>13</label><institution content-type="org-division">School of Physics</institution><institution-wrap><institution content-type="org-name">University College Dublin</institution><institution-id institution-id-type="ISNI">0000 0001 0768 2743</institution-id><institution-id institution-id-type="GRID">grid.7886.1</institution-id></institution-wrap><addr-line content-type="city">Dublin</addr-line><country country="IE">Ireland</country></aff><aff id="Aff14"><label>14</label><institution-wrap><institution content-type="org-name">Sezione INFN di Bari</institution><institution-id institution-id-type="GRID">grid.470190.b</institution-id></institution-wrap><addr-line content-type="city">Bari</addr-line><country country="IT">Italy</country></aff><aff id="Aff15"><label>15</label><institution-wrap><institution content-type="org-name">Sezione INFN di Bologna</institution><institution-id institution-id-type="GRID">grid.470193.8</institution-id></institution-wrap><addr-line content-type="city">Bologna</addr-line><country country="IT">Italy</country></aff><aff id="Aff16"><label>16</label><institution-wrap><institution content-type="org-name">Sezione INFN di Cagliari</institution><institution-id institution-id-type="GRID">grid.470195.e</institution-id></institution-wrap><addr-line content-type="city">Cagliari</addr-line><country country="IT">Italy</country></aff><aff id="Aff17"><label>17</label><institution content-type="org-name">Universita e INFN Ferrara</institution><addr-line content-type="city">Ferrara</addr-line><country country="IT">Italy</country></aff><aff id="Aff18"><label>18</label><institution-wrap><institution content-type="org-name">Sezione INFN di Firenze</institution><institution-id institution-id-type="GRID">grid.470204.5</institution-id></institution-wrap><addr-line content-type="city">Florence</addr-line><country country="IT">Italy</country></aff><aff id="Aff19"><label>19</label><institution-wrap><institution content-type="org-name">Laboratori Nazionali dell’INFN di Frascati</institution><institution-id institution-id-type="ISNI">0000 0004 0648 0236</institution-id><institution-id institution-id-type="GRID">grid.463190.9</institution-id></institution-wrap><addr-line content-type="city">Frascati</addr-line><country country="IT">Italy</country></aff><aff id="Aff20"><label>20</label><institution-wrap><institution content-type="org-name">Sezione INFN di Genova</institution><institution-id institution-id-type="GRID">grid.470205.4</institution-id></institution-wrap><addr-line content-type="city">Genoa</addr-line><country country="IT">Italy</country></aff><aff id="Aff21"><label>21</label><institution content-type="org-name">Universita &amp; INFN Milano Bicocca</institution><addr-line content-type="city">Milan</addr-line><country country="IT">Italy</country></aff><aff id="Aff22"><label>22</label><institution-wrap><institution content-type="org-name">Sezione di Milano</institution><institution-id institution-id-type="GRID">grid.470206.7</institution-id></institution-wrap><addr-line content-type="city">Milan</addr-line><country country="IT">Italy</country></aff><aff id="Aff23"><label>23</label><institution-wrap><institution content-type="org-name">Sezione INFN di Padova</institution><institution-id institution-id-type="GRID">grid.470212.2</institution-id></institution-wrap><addr-line content-type="city">Padova</addr-line><country country="IT">Italy</country></aff><aff id="Aff24"><label>24</label><institution-wrap><institution content-type="org-name">Sezione INFN di Pisa</institution><institution-id institution-id-type="GRID">grid.470216.6</institution-id></institution-wrap><addr-line content-type="city">Pisa</addr-line><country country="IT">Italy</country></aff><aff id="Aff25"><label>25</label><institution-wrap><institution content-type="org-name">Sezione INFN di Roma Tor Vergata</institution><institution-id institution-id-type="GRID">grid.470219.9</institution-id></institution-wrap><addr-line content-type="city">Rome</addr-line><country country="IT">Italy</country></aff><aff id="Aff26"><label>26</label><institution-wrap><institution 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institution-id-type="GRID">grid.7400.3</institution-id></institution-wrap><addr-line content-type="city">Zürich</addr-line><country country="CH">Switzerland</country></aff><aff id="Aff43"><label>43</label><institution-wrap><institution content-type="org-name">Nikhef National Institute for Subatomic Physics</institution><institution-id institution-id-type="ISNI">0000 0004 0646 2193</institution-id><institution-id institution-id-type="GRID">grid.420012.5</institution-id></institution-wrap><addr-line content-type="city">Amsterdam</addr-line><country country="NL">The Netherlands</country></aff><aff id="Aff44"><label>44</label><institution-wrap><institution content-type="org-name">Nikhef National Institute for Subatomic Physics and VU University Amsterdam</institution><institution-id institution-id-type="ISNI">0000 0004 0646 2193</institution-id><institution-id institution-id-type="GRID">grid.420012.5</institution-id></institution-wrap><addr-line 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country="CH">Switzerland</country></aff></contrib-group><author-notes><corresp id="cor1"><label>a</label><email>pieter.david@cern.ch</email></corresp></author-notes><pub-date pub-type="epub"><day>29</day><month>11</month><year>2017</year></pub-date><pub-date pub-type="collection"><month>12</month><year>2017</year></pub-date><volume>77</volume><issue seq="2">12</issue><elocation-id>812</elocation-id><history><date date-type="received"><day>23</day><month>5</month><year>2017</year></date><date date-type="accepted"><day>31</day><month>8</month><year>2017</year></date></history><permissions><copyright-statement>Copyright © 2017, CERN for the benefit of the LHCb collaboration</copyright-statement><copyright-year>2017</copyright-year><copyright-holder>CERN for the benefit of the LHCb collaboration</copyright-holder><license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0/"><license-p><bold>Open Access</bold>This article is distributed under the terms of the 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				\begin{document}$$\,\mathrm{fb}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq2.gif"/></alternatives></inline-formula>, collected by the LHCb detector at centre-of-mass energies of 7 and 8 TeV. The particles are assumed to be pair-produced in the decay of a 125<inline-formula id="IEq3"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq3_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq3.gif"/></alternatives></inline-formula> Standard-Model-like Higgs boson. The experimental signature is a single long-lived particle, identified by a displaced vertex with two associated jets. No excess above background is observed and limits are set on the production cross-section as a function of the mass and lifetime of the long-lived particle.</p></abstract><custom-meta-group><custom-meta><meta-name>volume-issue-count</meta-name><meta-value>12</meta-value></custom-meta><custom-meta><meta-name>issue-article-count</meta-name><meta-value>101</meta-value></custom-meta><custom-meta><meta-name>issue-toc-levels</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>issue-type</meta-name><meta-value>Regular</meta-value></custom-meta><custom-meta><meta-name>issue-online-date-year</meta-name><meta-value>2018</meta-value></custom-meta><custom-meta><meta-name>issue-online-date-month</meta-name><meta-value>1</meta-value></custom-meta><custom-meta><meta-name>issue-online-date-day</meta-name><meta-value>22</meta-value></custom-meta><custom-meta><meta-name>issue-pricelist-year</meta-name><meta-value>2017</meta-value></custom-meta><custom-meta><meta-name>issue-copyright-holder</meta-name><meta-value>SIF and Springer-Verlag GmbH Germany</meta-value></custom-meta><custom-meta><meta-name>issue-copyright-year</meta-name><meta-value>2017</meta-value></custom-meta><custom-meta><meta-name>article-contains-esm</meta-name><meta-value>No</meta-value></custom-meta><custom-meta><meta-name>article-numbering-style</meta-name><meta-value>ContentOnly</meta-value></custom-meta><custom-meta><meta-name>article-toc-levels</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>article-registration-date-year</meta-name><meta-value>2017</meta-value></custom-meta><custom-meta><meta-name>article-registration-date-month</meta-name><meta-value>9</meta-value></custom-meta><custom-meta><meta-name>article-registration-date-day</meta-name><meta-value>1</meta-value></custom-meta><custom-meta><meta-name>article-grants-type</meta-name><meta-value>OpenChoice</meta-value></custom-meta><custom-meta><meta-name>metadata-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>abstract-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>bodypdf-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>bodyhtml-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>bibliography-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>esm-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta></custom-meta-group></article-meta></front><body><sec id="Sec1"><title>Introduction</title><p id="Par2">Various extensions of the Standard Model (SM) feature new particles whose couplings to lighter states are sufficiently small to result in detectable lifetimes. In this paper we report on a search for such long-lived particles, which are assumed to be pair-produced in the decay of a Standard-Model-like Higgs boson, and subsequently decay into a quark–antiquark pair. Such a signature is present in models with a hidden-sector non-Abelian gauge group, where the Standard Model Higgs boson acts as a portal [<xref ref-type="bibr" rid="CR1">1</xref>–<xref ref-type="bibr" rid="CR5">5</xref>]. The new scalar particle represents the lightest state in the hidden sector and is called a hidden-valley pion (<inline-formula id="IEq4"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq4_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq4.gif"/></alternatives></inline-formula>) throughout this paper. Experimental constraints on the properties of the Higgs boson of mass 125<inline-formula id="IEq5"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq5_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq5.gif"/></alternatives></inline-formula> observed by the ATLAS and CMS collaborations [<xref ref-type="bibr" rid="CR6">6</xref>, <xref ref-type="bibr" rid="CR7">7</xref>] still allow for branching fractions of non-SM decay modes of up to 30% [<xref ref-type="bibr" rid="CR8">8</xref>].</p><p id="Par3">Data collected with the LHCb experiment in 2011 and 2012 are used for this analysis, restricted to periods in which suitable triggers were available. The data sample analysed corresponds to 0.62<inline-formula id="IEq6"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">fb</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><tex-math id="IEq6_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{fb}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq6.gif"/></alternatives></inline-formula> at a centre-of-mass energy of <inline-formula id="IEq7"><alternatives><mml:math><mml:mrow><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>7</mml:mn><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">TeV</mml:mi></mml:mrow></mml:math><tex-math id="IEq7_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\sqrt{s}={7}\,\mathrm{TeV}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq7.gif"/></alternatives></inline-formula> and 1.38<inline-formula id="IEq8"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">fb</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><tex-math id="IEq8_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{fb}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq8.gif"/></alternatives></inline-formula> at <inline-formula id="IEq9"><alternatives><mml:math><mml:mrow><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>8</mml:mn><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">TeV</mml:mi></mml:mrow></mml:math><tex-math id="IEq9_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\sqrt{s}={8}\,\mathrm{TeV}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq9.gif"/></alternatives></inline-formula>. In simulated events with <inline-formula id="IEq10"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq10_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq10.gif"/></alternatives></inline-formula> pairs originating from a Higgs boson decay it is found that in most cases no more than one of the two <inline-formula id="IEq11"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq11_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq11.gif"/></alternatives></inline-formula> decays occurs inside the LHCb acceptance. Consequently, the experimental signature is a single <inline-formula id="IEq12"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq12_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq12.gif"/></alternatives></inline-formula> particle. The candidate is identified by its decay to two hadronic jets originating from a displaced vertex, with a transverse distance to the proton-proton collision axis (<inline-formula id="IEq13"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq13_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq13.gif"/></alternatives></inline-formula>) of at least 0.4 mm. The vertex is required to have at least five tracks reconstructed in the LHCb vertex detector. The analysis is sensitive to <inline-formula id="IEq14"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq14_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq14.gif"/></alternatives></inline-formula> particles with a mass between 25 and 50<inline-formula id="IEq15"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq15_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq15.gif"/></alternatives></inline-formula> and a lifetime between 2 and 500 ps. The lifetime range is limited due to the presence of large prompt backgrounds at short decay times and the acceptance of the vertex detector for long decay times. The lower boundary on the mass range arises from the requirement to identify two hadronic jets while the upper boundary is driven by the geometric acceptance of the detector.</p><p id="Par4">This paper presents an update of an earlier analysis, which considered only the data set corresponding to an integrated luminosity of 0.62<inline-formula id="IEq16"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">fb</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><tex-math id="IEq16_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{fb}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq16.gif"/></alternatives></inline-formula> collected at <inline-formula id="IEq17"><alternatives><mml:math><mml:mrow><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>7</mml:mn></mml:mrow></mml:math><tex-math id="IEq17_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\sqrt{s}=7$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq17.gif"/></alternatives></inline-formula> TeV [<xref ref-type="bibr" rid="CR9">9</xref>]. Similar searches for hidden-valley particles decaying to jet pairs were performed by the D0 [<xref ref-type="bibr" rid="CR10">10</xref>], CDF [<xref ref-type="bibr" rid="CR11">11</xref>], ATLAS [<xref ref-type="bibr" rid="CR12">12</xref>–<xref ref-type="bibr" rid="CR14">14</xref>] and CMS [<xref ref-type="bibr" rid="CR15">15</xref>] collaborations. Compared to these analyses, this search is sensitive to <inline-formula id="IEq18"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq18_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq18.gif"/></alternatives></inline-formula> particles with relatively low mass and lifetime. The LHCb collaboration has also performed a search for events with two displaced high-multiplicity vertices [<xref ref-type="bibr" rid="CR16">16</xref>] and a search for events with a lepton from a high-multiplicity displaced vertex [<xref ref-type="bibr" rid="CR17">17</xref>] in the context of SUSY models, and several searches for so far unknown long-lived particles in <italic>B</italic>-meson decays [<xref ref-type="bibr" rid="CR18">18</xref>–<xref ref-type="bibr" rid="CR21">21</xref>].</p></sec><sec id="Sec2"><title>Detector and event simulation</title><p id="Par5">The LHCb detector [<xref ref-type="bibr" rid="CR22">22</xref>, <xref ref-type="bibr" rid="CR23">23</xref>] is a single-arm forward spectrometer covering the pseudorapidity range <inline-formula id="IEq19"><alternatives><mml:math><mml:mrow><mml:mn>2</mml:mn><mml:mo>&lt;</mml:mo><mml:mi mathvariant="italic">η</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:math><tex-math id="IEq19_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$2&lt;\eta &lt;5$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq19.gif"/></alternatives></inline-formula>, designed for the study of particles containing <inline-formula id="IEq20"><alternatives><mml:math><mml:mi>b</mml:mi></mml:math><tex-math id="IEq20_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$b$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq20.gif"/></alternatives></inline-formula> or <inline-formula id="IEq21"><alternatives><mml:math><mml:mi>c</mml:mi></mml:math><tex-math id="IEq21_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$c$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq21.gif"/></alternatives></inline-formula> quarks. The detector includes a high-precision tracking system consisting of a silicon-strip vertex detector (VELO) surrounding the <italic>pp</italic> interaction region, a large-area silicon-strip detector located upstream of a dipole magnet with a bending power of about <inline-formula id="IEq22"><alternatives><mml:math><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">Tm</mml:mi></mml:mrow></mml:mrow></mml:math><tex-math id="IEq22_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$4{\mathrm {\,Tm}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq22.gif"/></alternatives></inline-formula>, and three stations of silicon-strip detectors and straw drift tubes placed downstream of the magnet. The tracking system provides a measurement of the momentum, <inline-formula id="IEq23"><alternatives><mml:math><mml:mi>p</mml:mi></mml:math><tex-math id="IEq23_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq23.gif"/></alternatives></inline-formula>, of charged particles with a relative uncertainty that varies from 0.5% at low momentum to 1.0% at 200<inline-formula id="IEq24"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math><tex-math id="IEq24_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq24.gif"/></alternatives></inline-formula>. The minimum distance of a track to a primary vertex (PV), the impact parameter (IP), is measured with a resolution of <inline-formula id="IEq25"><alternatives><mml:math><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>15</mml:mn><mml:mo>+</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>29</mml:mn><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>c</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo stretchy="false">/</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mspace width="0.277778em"/><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math><tex-math id="IEq25_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p_\mathrm{T}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq26.gif"/></alternatives></inline-formula> is the component of the momentum transverse to the collision axis. Different types of charged hadrons are distinguished using information from two ring-imaging Cherenkov detectors. Photons, electrons and hadrons are identified by a calorimeter system consisting of scintillating-pad (SPD) and preshower detectors, an electromagnetic calorimeter and a hadronic calorimeter. Muons are identified by a system composed of alternating layers of iron and multiwire proportional chambers.</p><p id="Par6">The model for the production of <inline-formula id="IEq27"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq27_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq27.gif"/></alternatives></inline-formula> particles through the Higgs portal is fully specified by three parameters: the mass of the Higgs boson and the mass and lifetime of the <inline-formula id="IEq28"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq28_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq28.gif"/></alternatives></inline-formula>. The Higgs boson mass is taken to be 125<inline-formula id="IEq29"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq29_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq29.gif"/></alternatives></inline-formula>, and its production through the gluon-gluon fusion process is simulated with the <sc>Pythia</sc>8 generator [<xref ref-type="bibr" rid="CR24">24</xref>], with a specific LHCb configuration [<xref ref-type="bibr" rid="CR25">25</xref>] and using the CTEQ6 leading-order set of parton density functions [<xref ref-type="bibr" rid="CR26">26</xref>]. The interaction of the generated particles with the detector, and its response, are implemented using the <sc>Geant4</sc> toolkit [<xref ref-type="bibr" rid="CR27">27</xref>, <xref ref-type="bibr" rid="CR28">28</xref>] as described in Ref. [<xref ref-type="bibr" rid="CR29">29</xref>]. Signal samples with <inline-formula id="IEq30"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq30_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq30.gif"/></alternatives></inline-formula> masses of 25, 35, 43 and 50<inline-formula id="IEq31"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq31_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq31.gif"/></alternatives></inline-formula> and lifetimes of 10 and 100 ps are generated. In the simulated events the long-lived particles decay exclusively as <inline-formula id="IEq32"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow></mml:math><tex-math id="IEq32_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}\rightarrow {b\bar{b}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq32.gif"/></alternatives></inline-formula>, since this decay mode is generally preferred in the Higgs portal model. Samples with decays to <inline-formula id="IEq33"><alternatives><mml:math><mml:mi>c</mml:mi></mml:math><tex-math id="IEq33_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$c$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq33.gif"/></alternatives></inline-formula>- and <inline-formula id="IEq34"><alternatives><mml:math><mml:mi>s</mml:mi></mml:math><tex-math id="IEq34_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$s$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq34.gif"/></alternatives></inline-formula>-quark pairs are generated as well, but only in the scenario with a mass of 35<inline-formula id="IEq35"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq35_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq35.gif"/></alternatives></inline-formula> and a lifetime of 10 ps.</p></sec><sec id="Sec3"><title>Event selection</title><p id="Par7">The experimental signature for this analysis is a single displaced vertex with two associated jets. Only decays that produce a sufficient number of tracks in the VELO for a vertex to be reconstructed are considered. Due to the geometry of the vertex detector, this restricts the sample to decay points up to about 200 mm from the nominal interaction point along the beam direction, and up to about 30 mm in the transverse direction, thereby limiting the decay time acceptance. The selection strategy is the same as used in the analysis of Ref. [<xref ref-type="bibr" rid="CR9">9</xref>]. Reconstructed tracks are used to find the decay vertex, and jets are built out of reconstructed particles compatible with originating from that vertex. Constraints on the signal yield are determined from a fit to the dijet invariant mass distribution. The main source of background is displaced vertices from heavy-flavour decays or interactions of particles with detector material. To take into account the strong dependence of the background level on the separation from the beam axis, different selection criteria are used in different bins of <inline-formula id="IEq36"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq36_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq36.gif"/></alternatives></inline-formula>, and the final fit is performed in bins of this variable.</p><p id="Par8">The selection consists of online (trigger) and offline parts. The trigger [<xref ref-type="bibr" rid="CR30">30</xref>] is divided into a hardware (L0) and a software (HLT) stage. The L0 requires a muon with high <inline-formula id="IEq37"><alternatives><mml:math><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math><tex-math id="IEq37_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p_\mathrm{T}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq37.gif"/></alternatives></inline-formula> or a hadron, photon or electron with high transverse energy in the calorimeters. In order to reduce the processing time of the subsequent trigger stages, events with a large hit multiplicity in the SPD are discarded. The software stage is divided into two parts, which for this analysis differ between the 2011 and 2012 data. In the 2011 sample, the first software stage (HLT1) requires a single high-<inline-formula id="IEq38"><alternatives><mml:math><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math><tex-math id="IEq38_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p_\mathrm{T}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq38.gif"/></alternatives></inline-formula> track with a large impact parameter. The HLT1 selection for the 2012 sample was complemented with a two-track vertex signature with looser track quality criteria, in order to improve the efficiency at large displacements. At the second stage of the software trigger (HLT2), events are required to pass either a dedicated inclusive displaced-vertex selection or a standard topological <italic>B</italic> decay selection, which requires a two-, three- or four-track vertex with a significant displacement from all PVs [<xref ref-type="bibr" rid="CR30">30</xref>]. The inclusive displaced-vertex selection uses an algorithm similar to that used for the LHCb primary vertex reconstruction [<xref ref-type="bibr" rid="CR31">31</xref>]. A combination of requirements on the minimum number of tracks in the vertex (at least four), the distance <inline-formula id="IEq39"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq39_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq39.gif"/></alternatives></inline-formula> of the vertex to the beam axis (at least 0.4 mm), the invariant mass of the particles associated with the vertex (at least 2<inline-formula id="IEq40"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq40_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq40.gif"/></alternatives></inline-formula>) and the scalar sum <inline-formula id="IEq41"><alternatives><mml:math><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math><tex-math id="IEq41_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p_\mathrm{T}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq41.gif"/></alternatives></inline-formula> of the tracks that form the vertex (at least 3<inline-formula id="IEq42"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math><tex-math id="IEq42_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq42.gif"/></alternatives></inline-formula>), is used to define a set of trigger selections with sufficiently low rate.</p><p id="Par9">Before the offline selection can be applied, the displaced vertex corresponding to the decay of the <inline-formula id="IEq43"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq43_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq43.gif"/></alternatives></inline-formula> candidate must be reconstructed. For those events in which the HLT2 inclusive displaced-vertex selection was successful, the same vertex candidate found in the trigger is used; this approach differs from that used in the previous LHCb analysis [<xref ref-type="bibr" rid="CR9">9</xref>] and simplifies the evaluation of systematic uncertainties. For events selected only by the topological <italic>B</italic> trigger, a modified version of the algorithm is run on the output of the offline reconstruction with the following criteria: vertices with <inline-formula id="IEq44"><alternatives><mml:math><mml:mrow><mml:mn>0.4</mml:mn><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mrow/><mml:mo>&lt;</mml:mo><mml:mn>1</mml:mn><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math><tex-math id="IEq44_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$0.4&lt; R_{xy}{} &lt; {1}\, \mathrm{mm}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq44.gif"/></alternatives></inline-formula> must have at least eight tracks and the invariant mass of the system must exceed 10<inline-formula id="IEq45"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq45_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq45.gif"/></alternatives></inline-formula>, vertices with <inline-formula id="IEq46"><alternatives><mml:math><mml:mrow><mml:mn>1</mml:mn><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mrow/><mml:mo>&lt;</mml:mo><mml:mn>5</mml:mn><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math><tex-math id="IEq46_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$1&lt; R_{xy}{} &lt; {5}\, \mathrm{mm}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq46.gif"/></alternatives></inline-formula> must have at least six tracks, and those with <inline-formula id="IEq47"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mrow/><mml:mo>&gt;</mml:mo><mml:mn>5</mml:mn><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math><tex-math id="IEq47_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$R_{xy}{} &gt; {5}\, \mathrm{mm}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq47.gif"/></alternatives></inline-formula> must have at least five tracks. To exclude background due to interactions with the detector material, vertices inside a veto region around the VELO detector elements are discarded. Events with many parallel displaced tracks, which can arise from machine background, are identified by the azimuthal distribution of hits in the VELO and are also discarded.</p><p id="Par10">Next, jets are reconstructed following a particle flow approach. The same set of inputs as in Ref. [<xref ref-type="bibr" rid="CR32">32</xref>] is used, namely tracks of charged particles and calorimeter energy deposits, after subtraction of the energy associated with charged particles. To remove background, tracks that are compatible with coming from a PV, tracks with a smaller impact parameter to any primary vertex than to the displaced vertex, and tracks that have an impact parameter to the displaced vertex larger than 2 mm are all discarded. The anti-<inline-formula id="IEq48"><alternatives><mml:math><mml:msub><mml:mi>k</mml:mi><mml:mi>T</mml:mi></mml:msub></mml:math><tex-math id="IEq48_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$k_T$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq48.gif"/></alternatives></inline-formula> jet clustering algorithm is used [<xref ref-type="bibr" rid="CR33">33</xref>], with a distance parameter of <inline-formula id="IEq49"><alternatives><mml:math><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn>0.7</mml:mn></mml:mrow></mml:math><tex-math id="IEq49_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R=0.7$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq49.gif"/></alternatives></inline-formula>. The jet momentum and jet mass are calculated from the four-vectors of all constituents of the jet. In simulated events the jet energy response is found to be close to unity except for the lowest jet momenta, near the minimally required transverse momentum of <inline-formula id="IEq50"><alternatives><mml:math><mml:mrow><mml:mn>5</mml:mn><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:mrow></mml:math><tex-math id="IEq50_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${5}{\,\mathrm{GeV}/c}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq50.gif"/></alternatives></inline-formula>. Therefore, no jet energy correction was applied for this search.</p><p id="Par11">To enhance the jet purity the fraction of the jet energy carried by charged particles should be at least 0.1, there should be at least one track with transverse momentum above 0.9<inline-formula id="IEq51"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math><tex-math id="IEq51_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq51.gif"/></alternatives></inline-formula>, no pair of constituents should carry 90% of the jet energy, and no single charged or neutral constituent should contribute more than 70 or 50% of the total energy, respectively. To ensure that they can reliably be associated to a vertex, the jets are also required to have at least two constituents with track segments in the VELO. To account for differences in trigger and background conditions, for the 2012 data this requirement was tightened to at least four segments for <inline-formula id="IEq52"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn>1</mml:mn><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math><tex-math id="IEq52_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}&lt; {1}\, \mathrm{mm}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq52.gif"/></alternatives></inline-formula>, and at least three segments for <inline-formula id="IEq53"><alternatives><mml:math><mml:mrow><mml:mn>1</mml:mn><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn>2</mml:mn><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math><tex-math id="IEq53_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$1&lt; R_{xy}&lt; {2}\, \mathrm{mm}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq53.gif"/></alternatives></inline-formula>. For each jet an origin point is reconstructed from the jet constituents with VELO information. The jet trajectory is defined based on this origin point and the momentum of the jet. Any jet whose trajectory does not point back to the candidate vertex within 2 mm, or points more closely to a primary vertex, is removed. Only candidates with at least two jets passing these criteria are retained.</p><p id="Par12">Two final criteria are applied to the dijet candidates. The first is that the momentum vector of the dijet candidate should be aligned with the displacement vector from a PV to the reconstructed vertex position. This is implemented as a requirement on the dijet invariant mass divided by the corrected mass, <inline-formula id="IEq54"><alternatives><mml:math><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mtext>corr</mml:mtext></mml:msub><mml:mo>&gt;</mml:mo><mml:mn>0.7</mml:mn></mml:mrow></mml:math><tex-math id="IEq54_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$m/m_\text {corr} &gt; 0.7$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq54.gif"/></alternatives></inline-formula>. The corrected mass is computed as <inline-formula id="IEq55"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>corr</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mi>m</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo>sin</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>+</mml:mo><mml:mi>p</mml:mi><mml:mo>sin</mml:mo><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow></mml:math><tex-math id="IEq55_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$m_\text {corr} = \sqrt{m^2+(p\sin \theta )^2} + p\sin \theta $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq55.gif"/></alternatives></inline-formula> [<xref ref-type="bibr" rid="CR34">34</xref>], where <inline-formula id="IEq56"><alternatives><mml:math><mml:mi>m</mml:mi></mml:math><tex-math id="IEq56_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$m$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq56.gif"/></alternatives></inline-formula> and <inline-formula id="IEq57"><alternatives><mml:math><mml:mi>p</mml:mi></mml:math><tex-math id="IEq57_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq57.gif"/></alternatives></inline-formula> are the reconstructed mass and momentum of the dijet, and <inline-formula id="IEq58"><alternatives><mml:math><mml:mi mathvariant="italic">θ</mml:mi></mml:math><tex-math id="IEq58_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\theta $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq58.gif"/></alternatives></inline-formula> is the minimum angle between the momentum vector and the displacement vectors to the vertex from any PV in the event. A requirement on <inline-formula id="IEq59"><alternatives><mml:math><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mtext>corr</mml:mtext></mml:msub></mml:mrow></mml:math><tex-math id="IEq59_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$m/m_\text {corr}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq59.gif"/></alternatives></inline-formula> is preferred over one on the angle <inline-formula id="IEq60"><alternatives><mml:math><mml:mi mathvariant="italic">θ</mml:mi></mml:math><tex-math id="IEq60_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\theta $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq60.gif"/></alternatives></inline-formula> itself, since its efficiency depends less strongly on the boost and the mass of the candidate [<xref ref-type="bibr" rid="CR35">35</xref>]. The second criterion is that the kinematic separation of the jets should satisfy <inline-formula id="IEq61"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">η</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>&lt;</mml:mo><mml:mn>2.2</mml:mn></mml:mrow></mml:math><tex-math id="IEq61_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\Delta R = \sqrt{(\Delta \eta )^2+(\Delta \phi )^2} &lt; 2.2$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq61.gif"/></alternatives></inline-formula>, where <inline-formula id="IEq62"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">η</mml:mi></mml:mrow></mml:math><tex-math id="IEq62_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\Delta \eta $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq62.gif"/></alternatives></inline-formula> and <inline-formula id="IEq63"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi></mml:mrow></mml:math><tex-math id="IEq63_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\Delta \phi $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq63.gif"/></alternatives></inline-formula> are the pseudorapidity and azimuthal angle differences between the two jets, respectively. This reduces the tail in the dijet invariant mass distribution by suppressing the remaining back-to-back dijet background.</p><p id="Par13">The overall efficiency to reconstruct and select displaced <inline-formula id="IEq64"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq64_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq64.gif"/></alternatives></inline-formula> decays in the simulated samples is summarized in Table <xref rid="Tab1" ref-type="table">1</xref> for the 2011 and 2012 data taking conditions. A large part of the inefficiency is due to the detector acceptance, which is about 13% (8%) and 6.5% (5.5%) for <inline-formula id="IEq65"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq65_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq65.gif"/></alternatives></inline-formula> particles with a lifetime of 10 ps (100 ps) and masses of 25 and 50<inline-formula id="IEq66"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq66_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq66.gif"/></alternatives></inline-formula>, respectively. Other important contributions are due to the selection on the displacement from the beamline, requirements on the minimum number of tracks forming the vertex, the material interaction veto, the reduction in VELO tracking efficiency at large displacements, and the jet selection [<xref ref-type="bibr" rid="CR36">36</xref>]. The efficiency for long-lived particles decaying to <inline-formula id="IEq67"><alternatives><mml:math><mml:mi>s</mml:mi></mml:math><tex-math id="IEq67_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$s$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq67.gif"/></alternatives></inline-formula>- and <inline-formula id="IEq68"><alternatives><mml:math><mml:mi>c</mml:mi></mml:math><tex-math id="IEq68_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$c$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq68.gif"/></alternatives></inline-formula>-quark pairs is higher than for decays to <inline-formula id="IEq69"><alternatives><mml:math><mml:mi>b</mml:mi></mml:math><tex-math id="IEq69_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$b$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq69.gif"/></alternatives></inline-formula>-quark pairs due to the larger number of tracks originating directly from the <inline-formula id="IEq70"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq70_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq70.gif"/></alternatives></inline-formula> decay vertex.<table-wrap id="Tab1"><label>Table 1</label><caption><p>Number of selected candidates per generated <inline-formula id="IEq71"><alternatives><mml:math><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:mrow></mml:math><tex-math id="IEq71_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$H^{0} \rightarrow \pi _{\text {v}}\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq71.gif"/></alternatives></inline-formula> event (efficiency) in percent for different <inline-formula id="IEq72"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mi>q</mml:mi><mml:mrow/><mml:mover><mml:mi>q</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mrow/></mml:mrow></mml:mrow></mml:math><tex-math id="IEq72_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\pi _{\text {v}}} \rightarrow {{q}{}{\overline{q}}{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq72.gif"/></alternatives></inline-formula>, <inline-formula id="IEq73"><alternatives><mml:math><mml:mrow><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:mi>b</mml:mi><mml:mo>,</mml:mo><mml:mi>c</mml:mi><mml:mo>,</mml:mo><mml:mi>s</mml:mi></mml:mrow></mml:math><tex-math id="IEq73_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${q}=b, c, s$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq73.gif"/></alternatives></inline-formula> models for 2011 and 2012 data taking conditions, as derived from simulation. The relative statistical uncertainty on the efficiency due to the limited size of the simulated sample is less than a few percent</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="left"/><th align="left"><inline-formula id="IEq74"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq74_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq74.gif"/></alternatives></inline-formula> mass (<inline-formula id="IEq75"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq75_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq75.gif"/></alternatives></inline-formula>)</th><th align="left" colspan="2">2011</th><th align="left" colspan="2">2012</th></tr><tr><th align="left"/><th align="left"/><th align="left">10 ps</th><th align="left">100 ps</th><th align="left">10 ps</th><th align="left">100 ps</th></tr></thead><tbody><tr><td align="left"><inline-formula id="IEq76"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mrow><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow/></mml:mrow></mml:mrow></mml:math><tex-math id="IEq76_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\pi _{\text {v}}}\rightarrow {{b\bar{b}}{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq76.gif"/></alternatives></inline-formula></td><td align="left">25</td><td align="left">0.45</td><td align="left">0.097</td><td align="left">0.46</td><td align="left">0.111</td></tr><tr><td align="left"><inline-formula id="IEq77"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mrow><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow/></mml:mrow></mml:mrow></mml:math><tex-math id="IEq77_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\pi _{\text {v}}}\rightarrow {{b\bar{b}}{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq77.gif"/></alternatives></inline-formula></td><td align="left">35</td><td align="left">0.80</td><td align="left">0.176</td><td align="left">0.83</td><td align="left">0.224</td></tr><tr><td align="left"><inline-formula id="IEq78"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mrow><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow/></mml:mrow></mml:mrow></mml:math><tex-math id="IEq78_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\pi _{\text {v}}}\rightarrow {{b\bar{b}}{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq78.gif"/></alternatives></inline-formula></td><td align="left">43</td><td align="left">0.73</td><td align="left">0.190</td><td align="left">0.77</td><td align="left">0.222</td></tr><tr><td align="left"><inline-formula id="IEq79"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mrow><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow/></mml:mrow></mml:mrow></mml:math><tex-math id="IEq79_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\pi _{\text {v}}}\rightarrow {{b\bar{b}}{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq79.gif"/></alternatives></inline-formula></td><td align="left">50</td><td align="left">0.49</td><td align="left">0.141</td><td align="left">0.54</td><td align="left">0.171</td></tr><tr><td align="left"><inline-formula id="IEq80"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow/></mml:mrow></mml:mrow></mml:math><tex-math id="IEq80_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\pi _{\text {v}}}\rightarrow {{c\bar{c}}{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq80.gif"/></alternatives></inline-formula></td><td align="left">35</td><td align="left">1.35</td><td align="left"/><td align="left">1.35</td><td align="left"/></tr><tr><td align="left"><inline-formula id="IEq81"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow/></mml:mrow></mml:mrow></mml:math><tex-math id="IEq81_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${\pi _{\text {v}}}\rightarrow {{s\bar{s}}{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq81.gif"/></alternatives></inline-formula></td><td align="left">35</td><td align="left">1.30</td><td align="left"/><td align="left">1.19</td><td align="left"/></tr></tbody></table></table-wrap></p></sec><sec id="Sec4"><title>Systematic uncertainties</title><p id="Par14">Systematic uncertainties on the efficiency are obtained from studies of data-simulation differences in control samples. They are reported in Tables <xref rid="Tab2" ref-type="table">2</xref> and <xref rid="Tab3" ref-type="table">3</xref>, for the 2011 and 2012 conditions, respectively, and discussed in more detail below. Uncertainties on the signal efficiency due to parton-density distributions, the simulation of fragmentation and hadronization, and the Higgs boson production cross-section and kinematics are not taken into account.<table-wrap id="Tab2"><label>Table 2</label><caption><p>Overview of the contributions to the relative systematic uncertainty on the signal efficiency and luminosity (in percent) for different signal samples in 2011 conditions. The uncertainty on the total efficiency is obtained by summing the individual contributions in quadrature</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="left"><inline-formula id="IEq82"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq82_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq82.gif"/></alternatives></inline-formula> mass (<inline-formula id="IEq83"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq83_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq83.gif"/></alternatives></inline-formula>)</th><th align="left" colspan="2">25</th><th align="left" colspan="2">35</th><th align="left" colspan="2">43</th><th align="left" colspan="2">50</th><th align="left">35, <inline-formula id="IEq84"><alternatives><mml:math><mml:mrow><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math><tex-math id="IEq84_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$s\bar{s}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq85.gif"/></alternatives></inline-formula></th></tr><tr><th align="left"><inline-formula id="IEq86"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq86_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq86.gif"/></alternatives></inline-formula> lifetime (ps)</th><th align="left">10</th><th align="left">100</th><th align="left">10</th><th align="left">100</th><th align="left">10</th><th align="left">100</th><th align="left">10</th><th align="left">100</th><th align="left">10</th><th align="left">10</th></tr></thead><tbody><tr><td align="left">Tracking efficiency</td><td align="left">4.2</td><td align="left">4.1</td><td align="left">3.3</td><td align="left">3.2</td><td align="left">3.0</td><td align="left">2.8</td><td align="left">3.0</td><td align="left">2.7</td><td align="left">1.8</td><td align="left">1.7</td></tr><tr><td align="left">Vertex finding</td><td align="left">3.8</td><td align="left">4.2</td><td align="left">3.3</td><td align="left">3.9</td><td align="left">2.8</td><td align="left">3.7</td><td align="left">3.7</td><td align="left">2.6</td><td align="left">2.9</td><td align="left">2.8</td></tr><tr><td align="left">Jet reconstruction</td><td align="left">3.1</td><td align="left">3.1</td><td align="left">1.6</td><td align="left">1.6</td><td align="left">0.7</td><td align="left">0.7</td><td align="left">0.5</td><td align="left">0.5</td><td align="left">0.9</td><td align="left">1.0</td></tr><tr><td align="left">Jet identification</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td></tr><tr><td align="left">Jet direction</td><td align="left">7.0</td><td align="left">7.0</td><td align="left">6.0</td><td align="left">6.0</td><td align="left">7.4</td><td align="left">7.4</td><td align="left">8.5</td><td align="left">8.5</td><td align="left">5.9</td><td align="left">5.7</td></tr><tr><td align="left">L0</td><td align="left">4.0</td><td align="left">4.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">1.8</td><td align="left">2.1</td></tr><tr><td align="left"><inline-formula id="IEq87"><alternatives><mml:math><mml:msub><mml:mi>N</mml:mi><mml:mtext>SPD</mml:mtext></mml:msub></mml:math><tex-math id="IEq87_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$N_{\text {SPD}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq87.gif"/></alternatives></inline-formula></td><td align="left">1.7</td><td align="left">1.7</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">1.6</td><td align="left">1.6</td><td align="left">2.3</td><td align="left">2.3</td><td align="left">1.7</td><td align="left">1.6</td></tr><tr><td align="left">HLT1</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td></tr><tr><td align="left">HLT2</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td></tr><tr><td align="left">Total efficiency</td><td align="left">11.5</td><td align="left">11.6</td><td align="left">9.8</td><td align="left">10.0</td><td align="left">10.3</td><td align="left">10.5</td><td align="left">11.2</td><td align="left">10.9</td><td align="left">8.7</td><td align="left">8.6</td></tr><tr><td align="left">Luminosity</td><td align="left">1.7</td><td align="left">1.7</td><td align="left">1.7</td><td align="left">1.7</td><td align="left">1.7</td><td align="left">1.7</td><td align="left">1.7</td><td align="left">1.7</td><td align="left">1.7</td><td align="left">1.7</td></tr></tbody></table></table-wrap></p><p id="Par15"><table-wrap id="Tab3"><label>Table 3</label><caption><p>Overview of the contributions to the relative systematic uncertainty on the signal efficiency and luminosity (in percent) for different signal samples in 2012 conditions. The uncertainty on the total efficiency is obtained by summing the individual contributions in quadrature</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="left"><inline-formula id="IEq88"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq88_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq88.gif"/></alternatives></inline-formula> mass (<inline-formula id="IEq89"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq89_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$s\bar{s}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq91.gif"/></alternatives></inline-formula></th></tr><tr><th align="left"><inline-formula id="IEq92"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq92_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq92.gif"/></alternatives></inline-formula> lifetime (ps)</th><th align="left">10</th><th align="left">100</th><th align="left">10</th><th align="left">100</th><th align="left">10</th><th align="left">100</th><th align="left">10</th><th align="left">100</th><th align="left">10</th><th align="left">10</th></tr></thead><tbody><tr><td align="left">Tracking efficiency</td><td align="left">3.1</td><td align="left">2.8</td><td align="left">2.4</td><td align="left">2.4</td><td align="left">2.2</td><td align="left">2.1</td><td align="left">2.0</td><td align="left">1.7</td><td align="left">1.2</td><td align="left">1.1</td></tr><tr><td align="left">Vertex finding</td><td align="left">4.2</td><td align="left">4.5</td><td align="left">3.8</td><td align="left">4.4</td><td align="left">3.4</td><td align="left">4.1</td><td align="left">3.1</td><td align="left">3.9</td><td align="left">3.4</td><td align="left">3.5</td></tr><tr><td align="left">Jet reconstruction</td><td align="left">2.7</td><td align="left">2.7</td><td align="left">1.1</td><td align="left">1.1</td><td align="left">0.7</td><td align="left">0.7</td><td align="left">0.3</td><td align="left">0.3</td><td align="left">0.9</td><td align="left">1.0</td></tr><tr><td align="left">Jet identification</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td></tr><tr><td align="left">Jet direction</td><td align="left">5.8</td><td align="left">5.8</td><td align="left">5.3</td><td align="left">5.3</td><td align="left">6.1</td><td align="left">6.1</td><td align="left">7.9</td><td align="left">7.9</td><td align="left">5.3</td><td align="left">5.8</td></tr><tr><td align="left">L0</td><td align="left">4.0</td><td align="left">4.0</td><td align="left">2.5</td><td align="left">2.5</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td></tr><tr><td align="left"><inline-formula id="IEq93"><alternatives><mml:math><mml:msub><mml:mi>N</mml:mi><mml:mtext>SPD</mml:mtext></mml:msub></mml:math><tex-math id="IEq93_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$N_{\text {SPD}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq93.gif"/></alternatives></inline-formula></td><td align="left">2.2</td><td align="left">2.2</td><td align="left">2.5</td><td align="left">2.5</td><td align="left">2.5</td><td align="left">2.5</td><td align="left">2.5</td><td align="left">2.5</td><td align="left">2.4</td><td align="left">2.1</td></tr><tr><td align="left">HLT1</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td><td align="left">2.0</td></tr><tr><td align="left">HLT2</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td><td align="left">3.0</td></tr><tr><td align="left">Total efficiency</td><td align="left">10.5</td><td align="left">10.6</td><td align="left">9.2</td><td align="left">9.4</td><td align="left">9.1</td><td align="left">9.5</td><td align="left">10.4</td><td align="left">10.6</td><td align="left">8.6</td><td align="left">8.9</td></tr><tr><td align="left">Luminosity</td><td align="left">1.2</td><td align="left">1.2</td><td align="left">1.2</td><td align="left">1.2</td><td align="left">1.2</td><td align="left">1.2</td><td align="left">1.2</td><td align="left">1.2</td><td align="left">1.2</td><td align="left">1.2</td></tr></tbody></table></table-wrap></p><p id="Par16">The vertex reconstruction efficiency can be split into two parts, namely the track reconstruction efficiency and the vertex finding efficiency. The track reconstruction efficiency is described by the simulation to within a few percent, including for highly displaced and low-momentum tracks [<xref ref-type="bibr" rid="CR37">37</xref>–<xref ref-type="bibr" rid="CR39">39</xref>]. The effect of a systematic change in this efficiency is studied by randomly removing 2% of the signal tracks and reapplying all selection criteria.</p><p id="Par17">The vertex finding algorithm is not fully efficient even if all tracks are reconstructed. In particular, the efficiency to find a low-multiplicity secondary vertex is reduced in the proximity of a high-multiplicity PV. The effect is studied in data and simulation using exclusively reconstructed <inline-formula id="IEq94"><alternatives><mml:math><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi mathvariant="italic">Ψ</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mrow/><mml:mo>∗</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><tex-math id="IEq94_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$B^{0}\rightarrow J/\varPsi K^{*0}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq94.gif"/></alternatives></inline-formula> decays, which can be selected with high purity without tight requirements on the vertex. The efficiency for the displaced vertex reconstruction algorithm to find the <inline-formula id="IEq95"><alternatives><mml:math><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math><tex-math id="IEq95_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$B^0$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq95.gif"/></alternatives></inline-formula> candidate is measured as a function of the displacement <inline-formula id="IEq96"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq96_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq96.gif"/></alternatives></inline-formula> in data and simulation [<xref ref-type="bibr" rid="CR36">36</xref>]. The difference, weighted by the <inline-formula id="IEq97"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq97_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq97.gif"/></alternatives></inline-formula> distribution of the signal candidates, is used to derive a systematic uncertainty.</p><p id="Par18">Systematic uncertainties related to the jet reconstruction can be introduced in two ways: through differences between data and simulation in the jet reconstruction efficiency and through differences between data and simulation in the resolution on the jet energy and direction, which enter the dijet candidate kinematic and <inline-formula id="IEq98"><alternatives><mml:math><mml:mrow><mml:mi>m</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mtext>corr</mml:mtext></mml:msub></mml:mrow></mml:math><tex-math id="IEq98_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$m/m_\text {corr}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq98.gif"/></alternatives></inline-formula> selection and the dijet invariant mass shape. The jet reconstruction efficiency has been studied previously in measurements of the <inline-formula id="IEq99"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mo>+</mml:mo><mml:mtext>jet</mml:mtext></mml:mrow></mml:math><tex-math id="IEq99_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}+\text {jet}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq99.gif"/></alternatives></inline-formula> and <inline-formula id="IEq100"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mtext>-jet</mml:mtext></mml:mrow></mml:math><tex-math id="IEq100_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}+b\text {-jet}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq100.gif"/></alternatives></inline-formula> cross-sections and was found to be consistent between data and simulation [<xref ref-type="bibr" rid="CR32">32</xref>, <xref ref-type="bibr" rid="CR40">40</xref>]. The <inline-formula id="IEq101"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:msup><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mtext>jet</mml:mtext></mml:mrow></mml:math><tex-math id="IEq101_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${{Z}} \rightarrow {{\mu ^{+}\mu ^{-}}}+\text {jet}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq101.gif"/></alternatives></inline-formula> sample is used to study jet-related systematic effects for this analysis as well. To mimic the selection of the particle-flow inputs, the PV associated to the <inline-formula id="IEq102"><alternatives><mml:math><mml:mi>Z</mml:mi></mml:math><tex-math id="IEq102_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq102.gif"/></alternatives></inline-formula> is used as a proxy for the displaced vertex.<fig id="Fig1"><label>Fig. 1</label><caption><p>Dijet invariant mass distribution in the different <inline-formula id="IEq103"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq103_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq103.gif"/></alternatives></inline-formula> bins, for the 2011 data sample. For illustration, the best fit with a signal <inline-formula id="IEq104"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq104_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq104.gif"/></alternatives></inline-formula> model with mass 35<inline-formula id="IEq105"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq105_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq105.gif"/></alternatives></inline-formula> and lifetime 10 ps is overlaid. The solid blue line indicates the total background model, the short-dashed green line indicates the signal model for signal strength <inline-formula id="IEq106"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math><tex-math id="IEq106_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\mu =1$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq106.gif"/></alternatives></inline-formula>, and the long-dashed red line indicates the best-fit signal strength</p></caption><graphic xlink:href="10052_2017_5178_Fig1_HTML.gif" id="MO1"/></fig><fig id="Fig2"><label>Fig. 2</label><caption><p>Dijet invariant mass distribution in the different <inline-formula id="IEq107"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq107_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq107.gif"/></alternatives></inline-formula> bins, for the 2012 data sample. For illustration, the best fit with a signal <inline-formula id="IEq108"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq108_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq108.gif"/></alternatives></inline-formula> model with mass 35<inline-formula id="IEq109"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq109_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq109.gif"/></alternatives></inline-formula> and lifetime 10 ps is overlaid. The solid blue line indicates the total background model, the short-dashed green line indicates the signal model for signal strength <inline-formula id="IEq110"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math><tex-math id="IEq110_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\mu =1$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq110.gif"/></alternatives></inline-formula>, and the long-dashed red line indicates the best-fit signal strength</p></caption><graphic xlink:href="10052_2017_5178_Fig2_HTML.gif" id="MO2"/></fig><fig id="Fig3"><label>Fig. 3</label><caption><p>Expected (open circles and dotted line) and observed (filled circles and solid line) upper limit versus lifetime for different <inline-formula id="IEq111"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq111_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq111.gif"/></alternatives></inline-formula> masses and decay modes. The green (dark) and yellow (light) bands indicate the quantiles of the expected upper limit corresponding to <inline-formula id="IEq112"><alternatives><mml:math><mml:mrow><mml:mo>±</mml:mo><mml:mn>1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math><tex-math id="IEq112_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pm 1\sigma $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq112.gif"/></alternatives></inline-formula> and <inline-formula id="IEq113"><alternatives><mml:math><mml:mrow><mml:mo>±</mml:mo><mml:mn>2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math><tex-math id="IEq113_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pm 2\sigma $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq113.gif"/></alternatives></inline-formula> for a Gaussian distribution. The decay <inline-formula id="IEq114"><alternatives><mml:math><mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mrow/></mml:mrow><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mrow><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow/></mml:mrow></mml:mrow></mml:math><tex-math id="IEq114_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${\pi _{\text {v}}{}}\rightarrow {{b\bar{b}}{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq114.gif"/></alternatives></inline-formula> is assumed, unless specified otherwise</p></caption><graphic xlink:href="10052_2017_5178_Fig3_HTML.gif" id="MO3"/></fig></p><p id="Par19">The difference between data and simulation with the largest impact on the jet reconstruction efficiency is the energy response to low-<inline-formula id="IEq115"><alternatives><mml:math><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math><tex-math id="IEq115_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p_\mathrm{T}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq115.gif"/></alternatives></inline-formula> jets, close to the threshold of 5<inline-formula id="IEq116"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math><tex-math id="IEq116_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq116.gif"/></alternatives></inline-formula>. The sensitivity to a different energy response in data and simulation is evaluated by increasing the minimum jet <inline-formula id="IEq117"><alternatives><mml:math><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math><tex-math id="IEq117_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p_\mathrm{T}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq117.gif"/></alternatives></inline-formula> for candidates passing the full offline selection by 10%, which is the uncertainty on the jet energy scale. The change in the overall selection efficiency is assigned as a systematic uncertainty. By replacing the jet identification criteria with a requirement on the <inline-formula id="IEq118"><alternatives><mml:math><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math><tex-math id="IEq118_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p_\mathrm{T}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq118.gif"/></alternatives></inline-formula> balance between the leading jet and the <inline-formula id="IEq119"><alternatives><mml:math><mml:mi>Z</mml:mi></mml:math><tex-math id="IEq119_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$Z$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq119.gif"/></alternatives></inline-formula> boson, the <inline-formula id="IEq120"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:msup><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math><tex-math id="IEq120_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}\rightarrow {\mu ^{+}\mu ^{-}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq120.gif"/></alternatives></inline-formula> sample can also be used to study the difference in jet identification efficiency between data and simulation. No difference larger than 3% relative is seen, which is assigned as a systematic uncertainty.</p><p id="Par20">To validate the simulation of the jet-direction resolution the jet-direction is estimated separately with the charged and neutral components of the jet in <inline-formula id="IEq121"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mrow/><mml:mo>+</mml:mo><mml:mtext>jet</mml:mtext></mml:mrow></mml:math><tex-math id="IEq121_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}{}+\text {jet}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq121.gif"/></alternatives></inline-formula> events. The distribution of the charged-neutral difference in the estimated direction is found to be consistent between data and simulation for both the <inline-formula id="IEq122"><alternatives><mml:math><mml:mi mathvariant="italic">η</mml:mi></mml:math><tex-math id="IEq122_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\eta $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq122.gif"/></alternatives></inline-formula> and the <inline-formula id="IEq123"><alternatives><mml:math><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math><tex-math id="IEq123_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\phi $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq123.gif"/></alternatives></inline-formula> projection, and across the full range of <inline-formula id="IEq124"><alternatives><mml:math><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:math><tex-math id="IEq124_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p_\mathrm{T}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq124.gif"/></alternatives></inline-formula>. To quantify the effect on the <inline-formula id="IEq125"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq125_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq125.gif"/></alternatives></inline-formula> signal efficiency, an additional smearing to the jet-direction is applied to jets of selected candidates in the simulation. The jet angles with respect to the beam direction are smeared independently in the horizontal and vertical planes by about one third of the resolution, which is the largest value compatible with the comparison of data and simulation in <inline-formula id="IEq126"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mrow/><mml:mo>+</mml:mo><mml:mtext>jet</mml:mtext></mml:mrow></mml:math><tex-math id="IEq126_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}{}+\text {jet}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq126.gif"/></alternatives></inline-formula> events.</p><p id="Par21">The systematic uncertainty related to the L0 trigger selection consists of two parts, due to differences in the L0 calorimeter trigger response between data and simulation, and due to the difference between data and simulation in the distribution of the SPD hit multiplicity <inline-formula id="IEq127"><alternatives><mml:math><mml:msub><mml:mi>N</mml:mi><mml:mtext>SPD</mml:mtext></mml:msub></mml:math><tex-math id="IEq127_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$N_\text {SPD}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq127.gif"/></alternatives></inline-formula>. The first is evaluated by studying the L0 calorimeter trigger response on jets reconstructed in <inline-formula id="IEq128"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mrow/><mml:mo>+</mml:mo><mml:mtext>jet</mml:mtext></mml:mrow></mml:math><tex-math id="IEq128_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}{}+\text {jet}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq128.gif"/></alternatives></inline-formula> events, where the trigger decision is made based on the <inline-formula id="IEq129"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:msup><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math><tex-math id="IEq129_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}\rightarrow {\mu ^{+}\mu ^{-}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq129.gif"/></alternatives></inline-formula> decay products, and is independent of the jet. The observed data-simulation differences are propagated to the <inline-formula id="IEq130"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq130_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq130.gif"/></alternatives></inline-formula> reconstruction efficiency and correspond to systematic uncertainties of 2–4%, depending on the <inline-formula id="IEq131"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq131_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq131.gif"/></alternatives></inline-formula> mass. Jets in <inline-formula id="IEq132"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mrow/><mml:mo>+</mml:mo><mml:mtext>jet</mml:mtext></mml:mrow></mml:math><tex-math id="IEq132_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}{}+\text {jet}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq132.gif"/></alternatives></inline-formula> events are mostly light-quark jets, while our benchmark signal decays to <italic>b</italic> quarks. It is found in simulated events that the efficiency of the L0 calorimeter trigger is practically independent of jet flavour. A small fraction of <italic>b</italic>-quark jets is triggered exclusively by the L0 muon trigger, which is well modelled in the simulation.</p><p id="Par22">The second part of the L0 systematic uncertainty arises because the SPD multiplicity is not well described in the simulation. This effect is studied with a <inline-formula id="IEq133"><alternatives><mml:math><mml:mrow><mml:mi>Z</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:msup><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math><tex-math id="IEq133_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${Z}\rightarrow {\mu ^{+}\mu ^{-}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq133.gif"/></alternatives></inline-formula> sample triggered by the dimuon L0 selection, which applies only a loose selection on this quantity. An efficiency correction is derived, which is about 90% for 2011 data, and about 85% for 2012 data, with an uncertainty of 2–3%. The difference in the correction between the different <inline-formula id="IEq134"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq134_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq134.gif"/></alternatives></inline-formula> models is smaller than the systematic variation. This correction is applied to the overall detection efficiency derived from the simulation and the uncertainty is taken as a systematic uncertainty.</p><p id="Par23">The differences between data and simulation in the HLT1 selection are dominated by the track reconstruction efficiency, which was discussed above, and additional track quality criteria. One such difference is due to a requirement on the number of VELO hits for displaced tracks. It is characterized using <inline-formula id="IEq135"><alternatives><mml:math><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi mathvariant="italic">Ψ</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mrow/><mml:mo>∗</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><tex-math id="IEq135_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$B^{0}\rightarrow J/\varPsi K^{*0}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq135.gif"/></alternatives></inline-formula> decays selected with triggers that do not apply such a requirement. For this sample the selection efficiency was found to be 2% higher in data than in simulated events, which is assigned as a systematic uncertainty. For <inline-formula id="IEq136"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq136_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq136.gif"/></alternatives></inline-formula> decays the final-state track multiplicity is larger, which dilutes effects due to a mismodelling of the single-track efficiency.</p><p id="Par24">The main source of systematic uncertainty in the HLT2 selection is the vertex reconstruction efficiency, which was discussed above. The efficiency of the topological <inline-formula id="IEq137"><alternatives><mml:math><mml:mi>B</mml:mi></mml:math><tex-math id="IEq137_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$B$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq137.gif"/></alternatives></inline-formula> trigger, which is relevant for a subset of the candidates, is accurately described in simulation. It is measured as a function of <inline-formula id="IEq138"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq138_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq138.gif"/></alternatives></inline-formula> in data and simulation using <inline-formula id="IEq139"><alternatives><mml:math><mml:mrow><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi mathvariant="italic">Ψ</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mrow/><mml:mo>∗</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><tex-math id="IEq139_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$B^{0}\rightarrow J/\varPsi K^{*0}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq139.gif"/></alternatives></inline-formula> candidates that are selected by a different, dimuon-based, trigger criterion. A maximum difference of 2–3% is observed, which is assigned as a systematic uncertainty.</p></sec><sec id="Sec5" sec-type="results"><title>Results</title><p id="Par25">Constraints on the presence of a signal are derived from a fit to the dijet invariant mass distributions, shown in Figs. <xref rid="Fig1" ref-type="fig">1</xref> and <xref rid="Fig2" ref-type="fig">2</xref>. To take advantage of the difference in the <inline-formula id="IEq140"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq140_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq140.gif"/></alternatives></inline-formula> distribution for background and signal, the data are divided into six <inline-formula id="IEq141"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq141_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq141.gif"/></alternatives></inline-formula> bins. The data are further split according to data taking year to account for differences in running conditions and Higgs boson production cross-section. The signal efficiency for each <inline-formula id="IEq142"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq142_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq142.gif"/></alternatives></inline-formula> bin is obtained from the simulated samples with <inline-formula id="IEq143"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq143_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq143.gif"/></alternatives></inline-formula> lifetimes of 10 and 100 ps, with the decay time distributions reweighted to mimic other lifetime hypotheses as needed.</p><p id="Par26">Results are presented as upper limits on the signal strength <inline-formula id="IEq144"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>≡</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">σ</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>g</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi>H</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mrow/></mml:mrow><mml:mrow><mml:mi>S</mml:mi><mml:mi>M</mml:mi></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>·</mml:mo><mml:mi mathvariant="script">B</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:mrow><mml:mrow/><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math><tex-math id="IEq144_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\mu \equiv (\sigma /\sigma _{gg\rightarrow {H^0}{}}^{SM})\cdot \mathcal {B}({H^{0} \rightarrow \pi _{\text {v}}\pi _{\text {v}}}{})$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq144.gif"/></alternatives></inline-formula>, where <inline-formula id="IEq145"><alternatives><mml:math><mml:mi mathvariant="italic">σ</mml:mi></mml:math><tex-math id="IEq145_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\sigma $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq145.gif"/></alternatives></inline-formula> is the excluded signal cross-section, <inline-formula id="IEq146"><alternatives><mml:math><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>g</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi>H</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mrow/></mml:mrow><mml:mrow><mml:mi>S</mml:mi><mml:mi>M</mml:mi></mml:mrow></mml:msubsup></mml:math><tex-math id="IEq146_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\sigma _{gg\rightarrow {H^0}{}}^{SM}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq146.gif"/></alternatives></inline-formula> is the SM Higgs boson production cross-section via the gluon fusion process and <inline-formula id="IEq147"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="script">B</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:mrow><mml:mrow/><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math><tex-math id="IEq147_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\mathcal {B}({H^{0} \rightarrow \pi _{\text {v}}\pi _{\text {v}}}{})$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq147.gif"/></alternatives></inline-formula> is the branching fraction of the Higgs boson decay to <inline-formula id="IEq148"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mrow/></mml:mrow></mml:math><tex-math id="IEq148_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}{}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq148.gif"/></alternatives></inline-formula> particles. The branching fraction <inline-formula id="IEq149"><alternatives><mml:math><mml:msub><mml:mi mathvariant="script">B</mml:mi><mml:mrow><mml:mi>q</mml:mi><mml:mover><mml:mi>q</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:msub></mml:math><tex-math id="IEq149_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\mathcal {B}_{{q}{\overline{q}}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq149.gif"/></alternatives></inline-formula> of the <inline-formula id="IEq150"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq150_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$q\bar{q}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq151.gif"/></alternatives></inline-formula> final state (with <inline-formula id="IEq152"><alternatives><mml:math><mml:mrow><mml:mrow><mml:mi>q</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow></mml:math><tex-math id="IEq152_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${q\bar{q}}={b\bar{b}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq152.gif"/></alternatives></inline-formula>, <inline-formula id="IEq153"><alternatives><mml:math><mml:mrow><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math><tex-math id="IEq153_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${c\bar{c}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq153.gif"/></alternatives></inline-formula> or <inline-formula id="IEq154"><alternatives><mml:math><mml:mrow><mml:mi>s</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math><tex-math id="IEq154_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${s\bar{s}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq154.gif"/></alternatives></inline-formula> depending on the final state under study) is assumed to be 100%. If the decay width of the <inline-formula id="IEq155"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq155_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq155.gif"/></alternatives></inline-formula> particle is dominated by other decays than that under study, the limits scale as <inline-formula id="IEq156"><alternatives><mml:math><mml:mrow><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi mathvariant="script">B</mml:mi><mml:mrow><mml:mi>q</mml:mi><mml:mrow/><mml:mover><mml:mi>q</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mrow/></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="script">B</mml:mi><mml:mrow><mml:mi>q</mml:mi><mml:mrow/><mml:mover><mml:mi>q</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mrow/></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math><tex-math id="IEq156_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$1/(\mathcal {B}_{{q}{}{\overline{q}}{}}(2-\mathcal {B}_{{q}{}{\overline{q}}{}}))$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq156.gif"/></alternatives></inline-formula>. The Higgs boson production cross-section is assumed to be 15.11 pb at 7 TeV and 19.24 pb at 8 TeV [<xref ref-type="bibr" rid="CR41">41</xref>].</p><p id="Par27">The <inline-formula id="IEq157"><alternatives><mml:math><mml:msub><mml:mtext>CL</mml:mtext><mml:mi>s</mml:mi></mml:msub></mml:math><tex-math id="IEq157_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\text {CL}_s$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq157.gif"/></alternatives></inline-formula> method [<xref ref-type="bibr" rid="CR42">42</xref>] is used to determine upper limits. The profile likelihood ratio <inline-formula id="IEq158"><alternatives><mml:math><mml:mrow><mml:msubsup><mml:mi>q</mml:mi><mml:mtext>PLL</mml:mtext><mml:mi mathvariant="italic">μ</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:mrow><mml:mi>L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo stretchy="false">/</mml:mo><mml:mrow><mml:mi>L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">μ</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math><tex-math id="IEq158_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$ q_\text {PLL}^\mu = {L(\mu ,\hat{\theta }(\mu ))}/{L(\hat{\mu },\hat{\theta })} $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq158.gif"/></alternatives></inline-formula> is chosen as a test statistic, where <inline-formula id="IEq159"><alternatives><mml:math><mml:mrow><mml:mi>L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math><tex-math id="IEq159_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$L(\mu ,\theta )$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq159.gif"/></alternatives></inline-formula> denotes the likelihood as a function of <inline-formula id="IEq160"><alternatives><mml:math><mml:mi mathvariant="italic">μ</mml:mi></mml:math><tex-math id="IEq160_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\mu $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq160.gif"/></alternatives></inline-formula> and a set of nuisance parameters <inline-formula id="IEq161"><alternatives><mml:math><mml:mi mathvariant="italic">θ</mml:mi></mml:math><tex-math id="IEq161_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\theta $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq161.gif"/></alternatives></inline-formula>, which are also extracted from the data; <inline-formula id="IEq162"><alternatives><mml:math><mml:mrow><mml:mi>L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math><tex-math id="IEq162_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$L(\mu ,\hat{\theta }(\mu ))$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq162.gif"/></alternatives></inline-formula> is the maximum likelihood for a hypothesized value of <inline-formula id="IEq163"><alternatives><mml:math><mml:mi mathvariant="italic">μ</mml:mi></mml:math><tex-math id="IEq163_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\mu $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq163.gif"/></alternatives></inline-formula> and <inline-formula id="IEq164"><alternatives><mml:math><mml:mrow><mml:mi>L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">μ</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo stretchy="false">^</mml:mo></mml:mover><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math><tex-math id="IEq164_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$L(\hat{\mu },\hat{\theta })$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq164.gif"/></alternatives></inline-formula> is the global maximum likelihood. To estimate the sensitivity of the analysis and the significance of a potential signal, the expected upper limit quantiles in the case of zero signal are also evaluated.<table-wrap id="Tab4"><label>Table 4</label><caption><p>Observed 95% CL signal strength (<inline-formula id="IEq165"><alternatives><mml:math><mml:mi mathvariant="italic">μ</mml:mi></mml:math><tex-math id="IEq165_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\mu $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq165.gif"/></alternatives></inline-formula>) upper limits for different <inline-formula id="IEq166"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq166_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq166.gif"/></alternatives></inline-formula> models</p></caption><table frame="hsides" rules="groups"><thead><tr><th align="left"><inline-formula id="IEq167"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq167_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq167.gif"/></alternatives></inline-formula> mass</th><th align="left" colspan="8"><inline-formula id="IEq168"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq168_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq168.gif"/></alternatives></inline-formula> lifetime (ps)</th></tr><tr><th align="left"/><th align="left">2</th><th align="left">5</th><th align="left">10</th><th align="left">20</th><th align="left">50</th><th align="left">100</th><th align="left">200</th><th align="left">500</th></tr></thead><tbody><tr><td align="left">25<inline-formula id="IEq169"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq169_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq169.gif"/></alternatives></inline-formula></td><td align="left">1.64</td><td align="left">0.83</td><td align="left">1.12</td><td align="left">1.22</td><td align="left">2.84</td><td align="left">4.37</td><td align="left">9.28</td><td align="left">22.82</td></tr><tr><td align="left">35<inline-formula id="IEq170"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq170_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq170.gif"/></alternatives></inline-formula></td><td align="left">0.63</td><td align="left">0.35</td><td align="left">0.32</td><td align="left">0.41</td><td align="left">0.76</td><td align="left">1.37</td><td align="left">2.56</td><td align="left">5.86</td></tr><tr><td align="left">43<inline-formula id="IEq171"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq171_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq171.gif"/></alternatives></inline-formula></td><td align="left">0.52</td><td align="left">0.21</td><td align="left">0.16</td><td align="left">0.21</td><td align="left">0.35</td><td align="left">0.63</td><td align="left">1.12</td><td align="left">2.77</td></tr><tr><td align="left">50<inline-formula id="IEq172"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq172_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq172.gif"/></alternatives></inline-formula></td><td align="left">0.50</td><td align="left">0.17</td><td align="left">0.14</td><td align="left">0.15</td><td align="left">0.25</td><td align="left">0.41</td><td align="left">0.76</td><td align="left">1.72</td></tr><tr><td align="left">35<inline-formula id="IEq173"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq173_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq173.gif"/></alternatives></inline-formula>, <inline-formula id="IEq174"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mrow/><mml:mo stretchy="false">→</mml:mo><mml:mi>c</mml:mi><mml:mrow/><mml:mover accent="true"><mml:mrow><mml:mi>c</mml:mi><mml:mrow/></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math><tex-math id="IEq174_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\pi _{\text {v}}{}\rightarrow c{}\bar{c{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq174.gif"/></alternatives></inline-formula></td><td align="left">0.33</td><td align="left">0.17</td><td align="left">0.16</td><td align="left">0.20</td><td align="left">0.39</td><td align="left">0.64</td><td align="left">1.19</td><td align="left">2.90</td></tr><tr><td align="left">35<inline-formula id="IEq175"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq175_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq175.gif"/></alternatives></inline-formula>, <inline-formula id="IEq176"><alternatives><mml:math><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mrow/><mml:mo stretchy="false">→</mml:mo><mml:mi>s</mml:mi><mml:mrow/><mml:mover accent="true"><mml:mrow><mml:mi>s</mml:mi><mml:mrow/></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math><tex-math id="IEq176_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}{}\rightarrow s{}\bar{s{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq176.gif"/></alternatives></inline-formula></td><td align="left">0.40</td><td align="left">0.20</td><td align="left">0.19</td><td align="left">0.24</td><td align="left">0.42</td><td align="left">0.77</td><td align="left">1.41</td><td align="left">3.51</td></tr></tbody></table></table-wrap></p><p id="Par28">For each value of <inline-formula id="IEq177"><alternatives><mml:math><mml:mi mathvariant="italic">μ</mml:mi></mml:math><tex-math id="IEq177_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\mu $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq177.gif"/></alternatives></inline-formula> and <inline-formula id="IEq178"><alternatives><mml:math><mml:mi mathvariant="italic">θ</mml:mi></mml:math><tex-math id="IEq178_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\theta $$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq178.gif"/></alternatives></inline-formula> the likelihood is evaluated as <inline-formula id="IEq179"><alternatives><mml:math><mml:mrow><mml:mi>L</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mo>∏</mml:mo><mml:mi>i</mml:mi></mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>;</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">θ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math><tex-math id="IEq179_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$L(\mu ,\theta ) = \prod _{i} P(x_i;\mu ,\theta )$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq179.gif"/></alternatives></inline-formula>, where <italic>P</italic> is the probability density for event <italic>i</italic> and the product runs over all selected events. The observables <inline-formula id="IEq180"><alternatives><mml:math><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:math><tex-math id="IEq180_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$x_i$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq180.gif"/></alternatives></inline-formula> for each candidate include the dijet mass, <inline-formula id="IEq181"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq181_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq181.gif"/></alternatives></inline-formula> bin and data taking year. For each <inline-formula id="IEq182"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq182_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq182.gif"/></alternatives></inline-formula> bin and data taking year, the invariant mass distribution is modelled by the sum of background and signal components. The distribution for the signal is modelled as a Gaussian distribution whose parameters are obtained from fully simulated signal events. For the background distribution an empirical model, outlined below, is adopted.</p><p id="Par29">Background candidates can be categorized into two contributions. The first category is mostly due to the combination of a heavy-flavour decay vertex or an interaction with detector material with particles from a primary interaction. This contribution has a steeply decreasing invariant mass spectrum. Following the approach in Ref. [<xref ref-type="bibr" rid="CR9">9</xref>], the distribution is modelled by the convolution of a falling exponential distribution with a bifurcated Gaussian. All parameters of this background model are free to vary in the fit.</p><p id="Par30">The second category is due to Standard Model dijet events. These events have candidates with jets that are approximately back-to-back in the transverse plane. It is suppressed by the selection on the dijet opening angle <inline-formula id="IEq183"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math><tex-math id="IEq183_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\Delta R$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq183.gif"/></alternatives></inline-formula>. Its remaining contribution has a less steeply falling mass spectrum. It is described in the fit with a similar functional shape as for the first category, but with the parameters and the relative yields in the different bins fixed from a fit to the invariant mass distribution of candidates that fail the <inline-formula id="IEq184"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math><tex-math id="IEq184_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\Delta R$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq184.gif"/></alternatives></inline-formula> requirement. In the final fit only the total normalization of this component is varied. The second component is new compared to the model used for the previous analysis [<xref ref-type="bibr" rid="CR9">9</xref>]. It leads to a better description of the high-mass tail, at the expense of one extra fit parameter for each data taking year. It was found that the result of the fit is not sensitive to the exact <inline-formula id="IEq185"><alternatives><mml:math><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math><tex-math id="IEq185_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\Delta R$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq185.gif"/></alternatives></inline-formula> requirement used to select the events for this component.</p><p id="Par31">All parameters of the fit to the invariant mass distribution are allowed to float independently in each bin, except for the following nuisance parameters: the dijet invariant mass scale, the overall signal efficiency, and the normalization for the second background contribution. All relevant systematic uncertainties are incorporated in the fit model: the overall uncertainty on the efficiency, as described in Sect. <xref rid="Sec4" ref-type="sec">4</xref>, the uncertainty on the dijet invariant mass scale, and the uncertainties on the shape parameters and relative normalisation arising from the finite size of the simulated signal samples. Gaussian constraints on these parameters are added to the likelihood.</p><p id="Par32">Alternatives have been considered for the background mass model, in particular with an additional less steeply falling exponential to describe the tail. With these models the estimated background yield at higher mass is similar or larger than with the nominal background model, leading to tighter limits on the signal. As the nominal model gives the most conservative limit, no additional systematic uncertainty is assigned for background modeling.</p><p id="Par33">There is no significant excess of signal in the data. Upper limits at 95% confidence level (CL) as a function of lifetime for hidden-valley models with different <inline-formula id="IEq186"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq186_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq186.gif"/></alternatives></inline-formula> mass and decay mode are shown in Fig. <xref rid="Fig3" ref-type="fig">3</xref> and summarized in Table <xref rid="Tab4" ref-type="table">4</xref> and Fig. <xref rid="Fig4" ref-type="fig">4</xref>. The best sensitivity is obtained for a mass of about 50<inline-formula id="IEq187"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq187_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq187.gif"/></alternatives></inline-formula> and a lifetime of about 10 ps. The main improvements with respect to the previous result [<xref ref-type="bibr" rid="CR9">9</xref>] are due to the enlarged data sample, the improved trigger selections, and the addition of the <inline-formula id="IEq188"><alternatives><mml:math><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq188_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$R_{xy}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq188.gif"/></alternatives></inline-formula> bin above 5 mm, which contributes to the increased sensitivity at larger lifetimes.<fig id="Fig4"><label>Fig. 4</label><caption><p>Observed upper limit versus lifetime for different <inline-formula id="IEq189"><alternatives><mml:math><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub></mml:math><tex-math id="IEq189_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\pi _{\text {v}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq189.gif"/></alternatives></inline-formula> masses and decay modes. The decay <inline-formula id="IEq190"><alternatives><mml:math><mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">π</mml:mi><mml:mtext>v</mml:mtext></mml:msub><mml:mrow/></mml:mrow><mml:mo stretchy="false">→</mml:mo><mml:mrow><mml:mrow><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow/></mml:mrow></mml:mrow></mml:math><tex-math id="IEq190_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\pi _{\text {v}}{}}\rightarrow {{b\bar{b}}{}}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq190.gif"/></alternatives></inline-formula> is assumed, unless specified otherwise</p></caption><graphic xlink:href="10052_2017_5178_Fig4_HTML.gif" id="MO4"/></fig></p></sec><sec id="Sec6" sec-type="conclusions"><title>Conclusion</title><p id="Par34">Results have been presented from a search for long-lived particles with a mass in the range 25–50<inline-formula id="IEq191"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq191_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq191.gif"/></alternatives></inline-formula> and a lifetime between 2 and 500 ps. The particles are assumed to be pair-produced in the decay of a 125<inline-formula id="IEq192"><alternatives><mml:math><mml:mrow><mml:mspace width="0.166667em"/><mml:mi mathvariant="normal">GeV</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>c</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math><tex-math id="IEq192_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\,\mathrm{GeV}/c^{2}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq192.gif"/></alternatives></inline-formula> Standard-Model-like Higgs boson and to decay into two jets. Besides decays to <inline-formula id="IEq193"><alternatives><mml:math><mml:mrow><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math><tex-math id="IEq193_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$b\bar{b}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq193.gif"/></alternatives></inline-formula>, which are the best motivated in the context of hidden-valley models [<xref ref-type="bibr" rid="CR1">1</xref>, <xref ref-type="bibr" rid="CR2">2</xref>], also decays to <inline-formula id="IEq194"><alternatives><mml:math><mml:mrow><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math><tex-math id="IEq194_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$c\bar{c}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq194.gif"/></alternatives></inline-formula> and <inline-formula id="IEq195"><alternatives><mml:math><mml:mrow><mml:mi>s</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math><tex-math id="IEq195_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$s\bar{s}$$\end{document}</tex-math><inline-graphic xlink:href="10052_2017_5178_Article_IEq195.gif"/></alternatives></inline-formula> quark pairs are considered. No evidence for so far unknown long-lived particles is observed and limits are set as a function of mass and lifetime. These measurements complement other constraints on this production model at the LHC [<xref ref-type="bibr" rid="CR13">13</xref>, <xref ref-type="bibr" rid="CR15">15</xref>] by placing stronger constraints at small masses and lifetimes.</p></sec></body><back><ack><title>Acknowledgements</title><p>We express our gratitude to our colleagues in the CERN accelerator departments for the excellent performance of the LHC. We thank the technical and administrative staff at the LHCb institutes. We acknowledge support from CERN and from the national agencies: CAPES, CNPq, FAPERJ and FINEP (Brazil); MOST and NSFC (China); CNRS/IN2P3 (France); BMBF, DFG and MPG (Germany); INFN (Italy); NWO (The Netherlands); MNiSW and NCN (Poland); MEN/IFA (Romania); MinES and FASO (Russia); MinECo (Spain); SNSF and SER (Switzerland); NASU (Ukraine); STFC (United Kingdom); NSF (USA). We acknowledge the computing resources that are provided by CERN, IN2P3 (France), KIT and DESY (Germany), INFN (Italy), SURF (The Netherlands), PIC (Spain), GridPP (United Kingdom), RRCKI and Yandex LLC (Russia), CSCS (Switzerland), IFIN-HH (Romania), CBPF (Brazil), PL-GRID (Poland) and OSC (USA). We are indebted to the communities behind the multiple open source software packages on which we depend. Individual groups or members have received support from AvH Foundation (Germany), EPLANET, Marie Skłodowska-Curie Actions and ERC (European Union), Conseil Général de Haute-Savoie, Labex ENIGMASS and OCEVU, Région Auvergne (France), RFBR and Yandex LLC (Russia), GVA, XuntaGal and GENCAT (Spain), Herchel Smith Fund, The Royal Society, Royal Commission for the Exhibition of 1851 and the Leverhulme Trust (United Kingdom).</p></ack><ref-list id="Bib1"><title>References</title><ref-list><ref id="CR1"><label>1.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Strassler</surname><given-names>MJ</given-names></name><name><surname>Zurek</surname><given-names>KM</given-names></name></person-group><article-title xml:lang="en">Echoes of a hidden valley at hadron colliders</article-title><source>Phys. Lett. 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Aad et al., Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at <inline-formula id="IEq219"><alternatives><mml:math><mml:mrow><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>7</mml:mn></mml:mrow></mml:math><tex-math id="IEq219_TeX">\documentclass[12pt]{minimal}
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