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      <PublisherName>Springer Berlin Heidelberg</PublisherName>
      <PublisherLocation>Berlin/Heidelberg</PublisherLocation>
      <PublisherImprintName>Springer</PublisherImprintName>
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   <Journal OutputMedium="Online">
      <JournalInfo JournalProductType="NonStandardArchiveJournal" NumberingStyle="ContentOnly"
                   OutputMedium="Online">
         <JournalID>10052</JournalID>
         <JournalDOI>10.1007/10052.1434-6052</JournalDOI>
         <JournalElectronicISSN>1434-6052</JournalElectronicISSN>
         <JournalSPIN>30312819</JournalSPIN>
         <JournalTitle>The European Physical Journal C</JournalTitle>
         <JournalSubTitle>Particles and Fields</JournalSubTitle>
         <JournalAbbreviatedTitle>Eur. Phys. J. C</JournalAbbreviatedTitle>
         <JournalSubjectGroup>
            <JournalSubject Code="SCP" Type="Primary">Physics</JournalSubject>
            <JournalSubject Code="SCP23029" Priority="1" Type="Secondary">Elementary Particles, Quantum Field Theory</JournalSubject>
            <JournalSubject Code="SCP23010" Priority="2" Type="Secondary">Nuclear Physics, Heavy Ions, Hadrons</JournalSubject>
            <JournalSubject Code="SCP19048" Priority="3" Type="Secondary">Quantum Field Theories, String Theory</JournalSubject>
            <JournalSubject Code="SCP31040" Priority="4" Type="Secondary">Measurement Science and Instrumentation</JournalSubject>
            <JournalSubject Code="SCP22006" Priority="5" Type="Secondary">Astronomy, Astrophysics and Cosmology</JournalSubject>
            <JournalSubject Code="SC113000" Priority="6" Type="Secondary">Nuclear Energy</JournalSubject>
            <SubjectCollection Code="SC12">Physics and Astronomy</SubjectCollection>
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      <Volume OutputMedium="Online">
         <VolumeInfo OutputMedium="Online" TocLevels="0" VolumeType="Regular">
            <VolumeIDStart>86</VolumeIDStart>
            <VolumeIDEnd>86</VolumeIDEnd>
            <VolumeIssueCount>12</VolumeIssueCount>
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            <IssueInfo IssueType="Regular" OutputMedium="Online" TocLevels="0">
               <IssueIDStart>6</IssueIDStart>
               <IssueIDEnd>6</IssueIDEnd>
               <IssueArticleCount>54</IssueArticleCount>
               <IssueHistory>
                  <CoverDate>
                     <Year>2026</Year>
                     <Month>6</Month>
                  </CoverDate>
                  <PricelistYear>2026</PricelistYear>
               </IssueHistory>
               <IssueCopyright>
                  <CopyrightHolderName>EDP Sciences, Societa Italiana di Fisica (SIF) and Springer-Verlag GmbH, DE, part of Springer Nature</CopyrightHolderName>
                  <CopyrightYear>2026</CopyrightYear>
               </IssueCopyright>
            </IssueInfo>
            <Article ID="s10052-026-15817-7">
               <ArticleInfo ArticleType="OriginalPaper" ContainsESM="No" Language="En"
                            NumberingStyle="ContentOnly"
                            OutputMedium="Online"
                            TocLevels="0">
                  <ArticleID>15817</ArticleID>
                  <ArticleDOI>10.1140/epjc/s10052-026-15817-7</ArticleDOI>
                  <ArticleCitationID>643</ArticleCitationID>
                  <ArticleSequenceNumber>54</ArticleSequenceNumber>
                  <ArticleTitle Language="En" OutputMedium="All">Higgs boson decays <InlineEquation ID="IEq1">
                        <EquationSource Format="TEX"><![CDATA[$$h\rightarrow Z \gamma $$]]></EquationSource>
                        <EquationSource Format="MATHML">
                           <math xmlns:xlink="http://www.w3.org/1999/xlink">
                              <mrow>
                                 <mi>h</mi>
                                 <mo stretchy="false">→</mo>
                                 <mi>Z</mi>
                                 <mi>γ</mi>
                              </mrow>
                           </math>
                        </EquationSource>
                     </InlineEquation> and <InlineEquation ID="IEq2">
                        <EquationSource Format="TEX"><![CDATA[$$h\rightarrow m_V Z$$]]></EquationSource>
                        <EquationSource Format="MATHML">
                           <math xmlns:xlink="http://www.w3.org/1999/xlink">
                              <mrow>
                                 <mi>h</mi>
                                 <mo stretchy="false">→</mo>
                                 <msub>
                                    <mi>m</mi>
                                    <mi>V</mi>
                                 </msub>
                                 <mi>Z</mi>
                              </mrow>
                           </math>
                        </EquationSource>
                     </InlineEquation> in the <InlineEquation ID="IEq3">
                        <EquationSource Format="TEX"><![CDATA[$$U(1)_X$$]]></EquationSource>
                        <EquationSource Format="MATHML">
                           <math xmlns:xlink="http://www.w3.org/1999/xlink">
                              <mrow>
                                 <mi>U</mi>
                                 <msub>
                                    <mrow>
                                       <mo stretchy="false">(</mo>
                                       <mn>1</mn>
                                       <mo stretchy="false">)</mo>
                                    </mrow>
                                    <mi>X</mi>
                                 </msub>
                              </mrow>
                           </math>
                        </EquationSource>
                     </InlineEquation>VLFM</ArticleTitle>
                  <ArticleCategory>Regular Article - Theoretical Physics</ArticleCategory>
                  <ArticleSubCategory>Theoretical Physics</ArticleSubCategory>
                  <ArticleFirstPage>1</ArticleFirstPage>
                  <ArticleLastPage>19</ArticleLastPage>
                  <ArticleHistory>
                     <RegistrationDate>
                        <Year>2026</Year>
                        <Month>5</Month>
                        <Day>8</Day>
                     </RegistrationDate>
                     <Received>
                        <Year>2026</Year>
                        <Month>1</Month>
                        <Day>19</Day>
                     </Received>
                     <Accepted>
                        <Year>2026</Year>
                        <Month>5</Month>
                        <Day>8</Day>
                     </Accepted>
                     <OnlineDate>
                        <Year>2026</Year>
                        <Month>6</Month>
                        <Day>14</Day>
                     </OnlineDate>
                     <VersionOfRecordDate>
                        <Year>2026</Year>
                        <Month>6</Month>
                        <Day>14</Day>
                     </VersionOfRecordDate>
                  </ArticleHistory>
                  <ArticleFundingInformation>
                     <Fund>
                        <FunderName FundRefID="http://dx.doi.org/10.13039/501100003787">Natural Science Foundation of Hebei Province</FunderName>
                        <GrantNumber Type="FundRef">A2023201040</GrantNumber>
                     </Fund>
                  </ArticleFundingInformation>
                  <ArticleCopyright>
                     <CopyrightHolderName>The Author(s)</CopyrightHolderName>
                     <CopyrightYear>2026</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>.</SimplePara>
                     </License>
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                     <MetadataGrant Grant="OpenAccess"/>
                     <AbstractGrant Grant="OpenAccess"/>
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                     <BodyHTMLGrant Grant="OpenAccess"/>
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                     <ESMGrant Grant="OpenAccess"/>
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                  <ArticleContext>
                     <JournalID>10052</JournalID>
                     <VolumeIDStart>86</VolumeIDStart>
                     <VolumeIDEnd>86</VolumeIDEnd>
                     <IssueIDStart>6</IssueIDStart>
                     <IssueIDEnd>6</IssueIDEnd>
                  </ArticleContext>
               </ArticleInfo>
               <ArticleHeader>
                  <AuthorGroup>
                     <Author AffiliationIDS="Aff1 Aff2 Aff3" ID="Au1"
                             ORCID="https://orcid.org/0009-0000-1731-3060">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Rong-Zhi</GivenName>
                           <FamilyName>Sun</FamilyName>
                        </AuthorName>
                     </Author>
                     <Author AffiliationIDS="Aff1 Aff2 Aff3" CorrespondingAffiliationID="Aff3" ID="Au2"
                             ORCID="https://orcid.org/0000-0003-4920-8809">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Shu-Min</GivenName>
                           <FamilyName>Zhao</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>zhaosm@hbu.edu.cn</Email>
                        </Contact>
                     </Author>
                     <Author AffiliationIDS="Aff1 Aff2 Aff3" ID="Au3"
                             ORCID="https://orcid.org/0009-0009-2674-7907">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Yue-Tong</GivenName>
                           <FamilyName>Liu</FamilyName>
                        </AuthorName>
                     </Author>
                     <Author AffiliationIDS="Aff1 Aff2 Aff3 Aff4" ID="Au4"
                             ORCID="https://orcid.org/0000-0002-9281-4962">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Xing-Xing</GivenName>
                           <FamilyName>Dong</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>dongxx@hbu.edu.cn</Email>
                        </Contact>
                     </Author>
                     <Affiliation ID="Aff1">
                        <OrgID Level="Institution" Type="ROR">https://ror.org/01p884a79</OrgID>
                        <OrgID Level="Institution" Type="GRID">grid.256885.4</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0004 1791 4722</OrgID>
                        <OrgDivision>Department of Physics</OrgDivision>
                        <OrgName>Hebei University</OrgName>
                        <OrgAddress>
                           <City>Baoding</City>
                           <Postcode>071002</Postcode>
                           <Country Code="CN">China</Country>
                        </OrgAddress>
                     </Affiliation>
                     <Affiliation ID="Aff2">
                        <OrgID Level="Institution" Type="ROR">https://ror.org/01p884a79</OrgID>
                        <OrgID Level="Institution" Type="GRID">grid.256885.4</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0004 1791 4722</OrgID>
                        <OrgName>Hebei Key Laboratory of High-precision Computation and Application of Quantum Field Theory</OrgName>
                        <OrgAddress>
                           <City>Baoding</City>
                           <Postcode>071002</Postcode>
                           <Country Code="CN">China</Country>
                        </OrgAddress>
                     </Affiliation>
                     <Affiliation ID="Aff3">
                        <OrgName>Hebei Research Center of the Basic Discipline for Computational Physics</OrgName>
                        <OrgAddress>
                           <City>Baoding</City>
                           <Postcode>071002</Postcode>
                           <Country Code="CN">China</Country>
                        </OrgAddress>
                     </Affiliation>
                     <Affiliation ID="Aff4">
                        <OrgID Level="Institution" Type="ROR">https://ror.org/01c27hj86</OrgID>
                        <OrgID Level="Institution" Type="GRID">grid.9983.b</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0001 2181 4263</OrgID>
                        <OrgName>Departamento de Fisica and CFTP, Instituto Superior Técnico, Universidade de Lisboa</OrgName>
                        <OrgAddress>
                           <Street>Av. Rovisco Pais 1</Street>
                           <Postcode>1049-001</Postcode>
                           <City>Lisbon</City>
                           <Country Code="PT">Portugal</Country>
                        </OrgAddress>
                     </Affiliation>
                  </AuthorGroup>
                  <Abstract ID="Abs1" Language="En" OutputMedium="All">
                     <Heading>Abstract</Heading>
                     <Para ID="Par1">We study the Higgs boson decays <InlineEquation ID="IEq7">
                           <EquationSource Format="TEX"><![CDATA[$$h \rightarrow Z\gamma $$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>h</mi>
                                    <mo stretchy="false">→</mo>
                                    <mi>Z</mi>
                                    <mi>γ</mi>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> and <InlineEquation ID="IEq8">
                           <EquationSource Format="TEX"><![CDATA[$$h \rightarrow m_VZ$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>h</mi>
                                    <mo stretchy="false">→</mo>
                                    <msub>
                                       <mi>m</mi>
                                       <mi>V</mi>
                                    </msub>
                                    <mi>Z</mi>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> in a model with vectorlike fermions and <InlineEquation ID="IEq9">
                           <EquationSource Format="TEX"><![CDATA[$$U(1)_X$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>U</mi>
                                    <msub>
                                       <mrow>
                                          <mo stretchy="false">(</mo>
                                          <mn>1</mn>
                                          <mo stretchy="false">)</mo>
                                       </mrow>
                                       <mi>X</mi>
                                    </msub>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> symmetry (<InlineEquation ID="IEq10">
                           <EquationSource Format="TEX"><![CDATA[$$U(1)_X$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>U</mi>
                                    <msub>
                                       <mrow>
                                          <mo stretchy="false">(</mo>
                                          <mn>1</mn>
                                          <mo stretchy="false">)</mo>
                                       </mrow>
                                       <mi>X</mi>
                                    </msub>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation>VLFM), where <InlineEquation ID="IEq11">
                           <EquationSource Format="TEX"><![CDATA[$$m_V$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <msub>
                                    <mi>m</mi>
                                    <mi>V</mi>
                                 </msub>
                              </math>
                           </EquationSource>
                        </InlineEquation> is a vector meson (<InlineEquation ID="IEq12">
                           <EquationSource Format="TEX"><![CDATA[$$\rho ,\ \omega ,\ \phi ,\ J/\psi ,\ \Upsilon $$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>ρ</mi>
                                    <mo>,</mo>
                                    <mspace width="4pt"/>
                                    <mi>ω</mi>
                                    <mo>,</mo>
                                    <mspace width="4pt"/>
                                    <mi>ϕ</mi>
                                    <mo>,</mo>
                                    <mspace width="4pt"/>
                                    <mi>J</mi>
                                    <mo stretchy="false">/</mo>
                                    <mi>ψ</mi>
                                    <mo>,</mo>
                                    <mspace width="4pt"/>
                                    <mi mathvariant="normal">Υ</mi>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation>). The exotic Yukawa interactions in this model generate mixing between Standard Model (SM) fermions and vectorlike fermions, and this mixing affects the Higgs boson mass and Higgs couplings. The corrections to the CP-even and CP-odd <InlineEquation ID="IEq13">
                           <EquationSource Format="TEX"><![CDATA[$$h\gamma Z$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>h</mi>
                                    <mi>γ</mi>
                                    <mi>Z</mi>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> couplings come from loop diagrams that involve the new particles, and these corrections have a clear impact on the decay rates of <InlineEquation ID="IEq14">
                           <EquationSource Format="TEX"><![CDATA[$$h\rightarrow Z\gamma $$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>h</mi>
                                    <mo stretchy="false">→</mo>
                                    <mi>Z</mi>
                                    <mi>γ</mi>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> and <InlineEquation ID="IEq15">
                           <EquationSource Format="TEX"><![CDATA[$$h\rightarrow m_VZ$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>h</mi>
                                    <mo stretchy="false">→</mo>
                                    <msub>
                                       <mi>m</mi>
                                       <mi>V</mi>
                                    </msub>
                                    <mi>Z</mi>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation>. In suitable regions of the parameter space, the model can produce non-negligible deviations in <InlineEquation ID="IEq16">
                           <EquationSource Format="TEX"><![CDATA[$$\Gamma _\textrm{NP}(h\rightarrow Z\gamma )/\Gamma _\textrm{SM}(h\rightarrow Z\gamma )$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <msub>
                                       <mi mathvariant="normal">Γ</mi>
                                       <mtext>NP</mtext>
                                    </msub>
                                    <mrow>
                                       <mo stretchy="false">(</mo>
                                       <mi>h</mi>
                                       <mo stretchy="false">→</mo>
                                       <mi>Z</mi>
                                       <mi>γ</mi>
                                       <mo stretchy="false">)</mo>
                                    </mrow>
                                    <mo stretchy="false">/</mo>
                                    <msub>
                                       <mi mathvariant="normal">Γ</mi>
                                       <mtext>SM</mtext>
                                    </msub>
                                    <mrow>
                                       <mo stretchy="false">(</mo>
                                       <mi>h</mi>
                                       <mo stretchy="false">→</mo>
                                       <mi>Z</mi>
                                       <mi>γ</mi>
                                       <mo stretchy="false">)</mo>
                                    </mrow>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> and <InlineEquation ID="IEq17">
                           <EquationSource Format="TEX"><![CDATA[$$\Gamma _\textrm{NP}(h\rightarrow m_VZ)/\Gamma _\textrm{SM}(h\rightarrow m_V Z)$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <msub>
                                       <mi mathvariant="normal">Γ</mi>
                                       <mtext>NP</mtext>
                                    </msub>
                                    <mrow>
                                       <mo stretchy="false">(</mo>
                                       <mi>h</mi>
                                       <mo stretchy="false">→</mo>
                                       <msub>
                                          <mi>m</mi>
                                          <mi>V</mi>
                                       </msub>
                                       <mi>Z</mi>
                                       <mo stretchy="false">)</mo>
                                    </mrow>
                                    <mo stretchy="false">/</mo>
                                    <msub>
                                       <mi mathvariant="normal">Γ</mi>
                                       <mtext>SM</mtext>
                                    </msub>
                                    <mrow>
                                       <mo stretchy="false">(</mo>
                                       <mi>h</mi>
                                       <mo stretchy="false">→</mo>
                                       <msub>
                                          <mi>m</mi>
                                          <mi>V</mi>
                                       </msub>
                                       <mi>Z</mi>
                                       <mo stretchy="false">)</mo>
                                    </mrow>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation>, providing possible signals of new physics (NP) beyond the SM.
</Para>
                  </Abstract>
               </ArticleHeader>
               <NoBody/>
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