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      <PublisherName>Springer Berlin Heidelberg</PublisherName>
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         <JournalDOI>10.1007/10052.1434-6052</JournalDOI>
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         <JournalSPIN>30312819</JournalSPIN>
         <JournalTitle>The European Physical Journal C</JournalTitle>
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         <JournalAbbreviatedTitle>Eur. Phys. J. C</JournalAbbreviatedTitle>
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                  <OnlineDate>
                     <Year>2023</Year>
                     <Month>3</Month>
                     <Day>10</Day>
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                  <CoverDate>
                     <Year>2023</Year>
                     <Month>1</Month>
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                  <PricelistYear>2023</PricelistYear>
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                  <CopyrightHolderName>The Author(s)</CopyrightHolderName>
                  <CopyrightYear>2023</CopyrightYear>
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            <Article ID="s10052-023-11229-z">
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                  <ArticleID>11229</ArticleID>
                  <ArticleDOI>10.1140/epjc/s10052-023-11229-z</ArticleDOI>
                  <ArticleCitationID>63</ArticleCitationID>
                  <ArticleSequenceNumber>63</ArticleSequenceNumber>
                  <ArticleTitle Language="En" OutputMedium="All">Search for Lorentz invariance violation using Bayesian model comparison applied to <Emphasis Type="Italic">Xiao et al.</Emphasis> GRB spectral lag catalog</ArticleTitle>
                  <ArticleCategory>Regular Article - Experimental Physics </ArticleCategory>
                  <ArticleFirstPage>1</ArticleFirstPage>
                  <ArticleLastPage>10</ArticleLastPage>
                  <ArticleHistory>
                     <RegistrationDate>
                        <Year>2023</Year>
                        <Month>1</Month>
                        <Day>18</Day>
                     </RegistrationDate>
                     <Received>
                        <Year>2022</Year>
                        <Month>10</Month>
                        <Day>26</Day>
                     </Received>
                     <Accepted>
                        <Year>2023</Year>
                        <Month>1</Month>
                        <Day>17</Day>
                     </Accepted>
                     <OnlineDate>
                        <Year>2023</Year>
                        <Month>1</Month>
                        <Day>23</Day>
                     </OnlineDate>
                  </ArticleHistory>
                  <ArticleCopyright>
                     <CopyrightHolderName>The Author(s)</CopyrightHolderName>
                     <CopyrightYear>2023</CopyrightYear>
                     <License SubType="CC BY" Type="OpenAccess" Version="4.0">
                        <SimplePara>
                           <Emphasis Type="Bold">Open Access</Emphasis>This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit <ExternalRef>
                              <RefSource>http://creativecommons.org/licenses/by/4.0/</RefSource>
                              <RefTarget Address="http://creativecommons.org/licenses/by/4.0/" TargetType="URL"/>
                           </ExternalRef>.</SimplePara>
                        <SimplePara>Funded by SCOAP<Superscript>3</Superscript>. SCOAP<Superscript>3</Superscript> supports the goals of the International Year of Basic Sciences for Sustainable Development.</SimplePara>
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                     <JournalID>10052</JournalID>
                     <VolumeIDStart>83</VolumeIDStart>
                     <VolumeIDEnd>83</VolumeIDEnd>
                     <IssueIDStart>1</IssueIDStart>
                     <IssueIDEnd>1</IssueIDEnd>
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               <ArticleHeader>
                  <AuthorGroup>
                     <Author AffiliationIDS="Aff1" CorrespondingAffiliationID="Aff1" ID="Au1"
                             ORCID="http://orcid.org/0000-0002-0466-3288">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Shantanu</GivenName>
                           <FamilyName>Desai</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>shntn05@gmail.com</Email>
                        </Contact>
                     </Author>
                     <Author AffiliationIDS="Aff1" ID="Au2">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Rajdeep</GivenName>
                           <FamilyName>Agrawal</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>ep18btech11012@iith.ac.in</Email>
                        </Contact>
                     </Author>
                     <Author AffiliationIDS="Aff2" ID="Au3">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Haveesh</GivenName>
                           <FamilyName>Singirikonda</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>haveesh.gss@gmail.com</Email>
                        </Contact>
                     </Author>
                     <Affiliation ID="Aff1">
                        <OrgID Level="Institution" Type="GRID">grid.459612.d</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0004 1767 065X</OrgID>
                        <OrgName>Department of Physics, Indian Institute of Technology</OrgName>
                        <OrgAddress>
                           <City>Hyderabad</City>
                           <State>Telangana</State>
                           <Postcode>502285</Postcode>
                           <Country Code="IN">India</Country>
                        </OrgAddress>
                     </Affiliation>
                     <Affiliation ID="Aff2">
                        <OrgID Level="Institution" Type="GRID">grid.10388.32</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0001 2240 3300</OrgID>
                        <OrgName>Argelander-Institut für Astronomie</OrgName>
                        <OrgAddress>
                           <Street>Auf dem Hügel 71</Street>
                           <Postcode>53121</Postcode>
                           <City>Bonn</City>
                           <Country Code="DE">Germany</Country>
                        </OrgAddress>
                     </Affiliation>
                  </AuthorGroup>
                  <Abstract ID="Abs1" Language="En" OutputMedium="All">
                     <Heading>Abstract</Heading>
                     <Para ID="Par1">We use the spectral lag catalog of 46 short GRBs aggregated by Xiao et al. (Astrophys J Lett 924:L29, 2022), to carry out an independent search for Lorentz invariance violation (LIV). For this purpose, we use a power-law model as a function of energy for the intrinsic astrophysical induced spectral lags. The expansion history of the universe needed for constraining LIV was obtained in a non-parametric method using cosmic chronometers. We use Bayesian model comparison to determine if the aforementioned spectral lags show evidence for LIV as compared to only astrophysically induced lags. We do not find any evidence for LIV, and obtain 95% CL lower limits on the corresponding energy scale to be <InlineEquation ID="IEq1">
                           <EquationSource Format="TEX"><![CDATA[$$4 \times 10^{15}$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mn>4</mn>
                                    <mo>×</mo>
                                    <msup>
                                       <mn>10</mn>
                                       <mn>15</mn>
                                    </msup>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> GeV and <InlineEquation ID="IEq2">
                           <EquationSource Format="TEX"><![CDATA[$$6.8 \times 10^{9}$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mn>6.8</mn>
                                    <mo>×</mo>
                                    <msup>
                                       <mn>10</mn>
                                       <mn>9</mn>
                                    </msup>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> GeV for the linear and quadratic LIV models respectively. Our results obtained by using the flat <InlineEquation ID="IEq3">
                           <EquationSource Format="TEX"><![CDATA[$$\Lambda $$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mi mathvariant="normal">Λ</mi>
                              </math>
                           </EquationSource>
                        </InlineEquation>CDM model for characterizing the cosmic expansion history are consistent with those obtained using chronometers.</Para>
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