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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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                     <Year>2026</Year>
                     <Month>5</Month>
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                  <PricelistYear>2026</PricelistYear>
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                  <CopyrightHolderName>EDP Sciences, Societa Italiana di Fisica (SIF) and Springer-Verlag GmbH, DE, part of Springer Nature</CopyrightHolderName>
                  <CopyrightYear>2026</CopyrightYear>
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            <Article ID="s10052-026-15806-w">
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                  <ArticleTitle Language="En" OutputMedium="All">Evidence for evolving dark energy from DESI DR2 BAO and Pantheon<InlineEquation ID="IEq1">
                        <EquationSource Format="TEX"><![CDATA[$$^+$$]]></EquationSource>
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                           <math xmlns:xlink="http://www.w3.org/1999/xlink">
                              <mmultiscripts>
                                 <mrow/>
                                 <mrow/>
                                 <mo>+</mo>
                              </mmultiscripts>
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                     </InlineEquation>, DES-Dovekie, and Union3</ArticleTitle>
                  <ArticleCategory>Regular Article - Theoretical Physics</ArticleCategory>
                  <ArticleSubCategory>Theoretical Physics</ArticleSubCategory>
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                        <Year>2026</Year>
                        <Month>5</Month>
                        <Day>6</Day>
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                        <Year>2026</Year>
                        <Month>3</Month>
                        <Day>3</Day>
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                        <Year>2026</Year>
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                     <CopyrightYear>2026</CopyrightYear>
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                     <Author AffiliationIDS="Aff1 Aff2" ID="Au1"
                             ORCID="http://orcid.org/0000-0002-6376-0707">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Himanshu</GivenName>
                           <FamilyName>Chaudhary</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>himanshu.chaudhary@ubbcluj.ro</Email>
                           <Email>himanshuch1729@gmail.com</Email>
                        </Contact>
                     </Author>
                     <Author AffiliationIDS="Aff3 Aff4 Aff5" ID="Au2"
                             ORCID="http://orcid.org/0000-0003-4886-2024">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Salvatore</GivenName>
                           <FamilyName>Capozziello</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>capozziello@na.infn.it</Email>
                        </Contact>
                     </Author>
                     <Author AffiliationIDS="Aff6" ID="Au3" ORCID="http://orcid.org/0000-0001-7640-5504">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>Vipin</GivenName>
                           <GivenName>Kumar</GivenName>
                           <FamilyName>Sharma</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>vipin.339122@lpu.co.in</Email>
                        </Contact>
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                        <AuthorName DisplayOrder="Western">
                           <GivenName>Isidro</GivenName>
                           <FamilyName>Gómez-Vargas</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>isidro.gomezvargas@unige.ch</Email>
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                             ORCID="http://orcid.org/0000-0003-1409-2009">
                        <AuthorName DisplayOrder="Western">
                           <GivenName>G.</GivenName>
                           <FamilyName>Mustafa</FamilyName>
                        </AuthorName>
                        <Contact>
                           <Email>gmustafa3828@gmail.com</Email>
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                        <OrgID Level="Institution" Type="ISNI">0000 0004 1937 1397</OrgID>
                        <OrgDivision>Department of Physics</OrgDivision>
                        <OrgName>Babeş-Bolyai University</OrgName>
                        <OrgAddress>
                           <Street>Kogălniceanu Street</Street>
                           <City>Cluj-Napoca</City>
                           <Postcode>400084</Postcode>
                           <Country Code="RO">Romania</Country>
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                        <OrgName>Research Center of Astrophysics and Cosmology, Khazar University</OrgName>
                        <OrgAddress>
                           <Street>41 Mehseti Street</Street>
                           <City>Baku</City>
                           <Postcode>AZ1096</Postcode>
                           <Country Code="AZ">Azerbaijan</Country>
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                        <OrgName>Università di Napoli “Federico II”, Complesso Universitario di Monte Sant’ Angelo</OrgName>
                        <OrgAddress>
                           <Street>Edificio G, Via Cinthia</Street>
                           <City>Napoli</City>
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                           <Country Code="IT">Italy</Country>
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                        <OrgName>Istituto Nazionale di Fisica Nucleare (INFN)</OrgName>
                        <OrgAddress>
                           <Street>sez. di Napoli, Via Cinthia 9</Street>
                           <City>Napoli</City>
                           <Postcode>80126</Postcode>
                           <Country Code="IT">Italy</Country>
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                        <OrgAddress>
                           <Street>Via Mezzocannone 4</Street>
                           <City>Napoli</City>
                           <Postcode>80134</Postcode>
                           <Country Code="IT">Italy</Country>
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                        <OrgDivision>International Center for High Energy Physics and Applications</OrgDivision>
                        <OrgName>Lovely Professional University</OrgName>
                        <OrgAddress>
                           <City>Phagwara</City>
                           <State>Punjab</State>
                           <Postcode>144411</Postcode>
                           <Country Code="IN">India</Country>
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                        <OrgID Level="Institution" Type="ISNI">0000 0001 2175 2154</OrgID>
                        <OrgDivision>Department of Astronomy</OrgDivision>
                        <OrgName>University of Geneva</OrgName>
                        <OrgAddress>
                           <Street>Chemin Pegasi 51</Street>
                           <City>Versoix</City>
                           <State>Geneva</State>
                           <Postcode>1290</Postcode>
                           <Country Code="CH">Switzerland</Country>
                        </OrgAddress>
                     </Affiliation>
                     <Affiliation ID="Aff8">
                        <OrgID Level="Institution" Type="ROR">https://ror.org/01vevwk45</OrgID>
                        <OrgID Level="Institution" Type="GRID">grid.453534.0</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0001 2219 2654</OrgID>
                        <OrgDivision>Department of Physics</OrgDivision>
                        <OrgName>Zhejiang Normal University</OrgName>
                        <OrgAddress>
                           <City>Jinhua</City>
                           <Postcode>321004</Postcode>
                           <Country Code="CN">People’s Republic of China</Country>
                        </OrgAddress>
                     </Affiliation>
                     <Affiliation ID="Aff9">
                        <OrgID Level="Institution" Type="ROR">https://ror.org/04b69g067</OrgID>
                        <OrgID Level="Institution" Type="GRID">grid.412867.e</OrgID>
                        <OrgID Level="Institution" Type="ISNI">0000 0001 0043 6347</OrgID>
                        <OrgDivision>College of Graduate Studies</OrgDivision>
                        <OrgName>Walailak University</OrgName>
                        <OrgAddress>
                           <City>Thasala</City>
                           <State>Nakhon Si Thammarat</State>
                           <Postcode>80160</Postcode>
                           <Country Code="TH">Thailand</Country>
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                  <Abstract ID="Abs1" Language="En" OutputMedium="All">
                     <Heading>Abstract</Heading>
                     <Para ID="Par1">Evidences for evolving dark energy are shown using baryon acoustic oscillation measurements from the recent Dark Energy Spectroscopic Instrument Data Release 2, combined with different Type Ia supernova datasets (Pantheon<InlineEquation ID="IEq3">
                           <EquationSource Format="TEX"><![CDATA[$$^+$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mmultiscripts>
                                    <mrow/>
                                    <mrow/>
                                    <mo>+</mo>
                                 </mmultiscripts>
                              </math>
                           </EquationSource>
                        </InlineEquation>, DES-Dovekie, and Union3) and the CMB compressed likelihood. We examine several dark energy parameterizations, including the Logarithmic, Exponential, CPL, BA, JBP, Thawing, Mirage, and GEDE models. Analyzing the DESI DR2 measurements alone, we find that evidence for evolving dark energy is primarily driven by the LRG1-2 tracers, as their inclusion yields a preferred value of <InlineEquation ID="IEq4">
                           <EquationSource Format="TEX"><![CDATA[$$w_0 > -1$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <msub>
                                       <mi>w</mi>
                                       <mn>0</mn>
                                    </msub>
                                    <mo>&gt;</mo>
                                    <mo>-</mo>
                                    <mn>1</mn>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation>. However, as each tracer provides only limited observables, this preference can result in an underconstrained and potentially unstable inference. Further, we find that each dark energy model predicts values in the <InlineEquation ID="IEq5">
                           <EquationSource Format="TEX"><![CDATA[$$w_0 > -1$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <msub>
                                       <mi>w</mi>
                                       <mn>0</mn>
                                    </msub>
                                    <mo>&gt;</mo>
                                    <mo>-</mo>
                                    <mn>1</mn>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation>, <InlineEquation ID="IEq6">
                           <EquationSource Format="TEX"><![CDATA[$$w_a < 0$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <msub>
                                       <mi>w</mi>
                                       <mi>a</mi>
                                    </msub>
                                    <mo>&lt;</mo>
                                    <mn>0</mn>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> quadrant, a region characterized by the Quintom-B type dark energy scenario. The logarithmic bayes factor shows that, among all models, the Mirage model shows the inconclusive-to-moderate evidence across all dataset combinations. Consistently, the statistical significance remains modest, with <InlineEquation ID="IEq7">
                           <EquationSource Format="TEX"><![CDATA[$$N\sigma \sim 1.1$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>N</mi>
                                    <mi>σ</mi>
                                    <mo>∼</mo>
                                    <mn>1.1</mn>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation>-2.3, and no model showing a robust preference for dynamical dark energy using late-time datasets alone. The evolution of <Emphasis Type="Italic">w</Emphasis>(<Emphasis Type="Italic">z</Emphasis>) shows a phantom crossing around <InlineEquation ID="IEq8">
                           <EquationSource Format="TEX"><![CDATA[$$z \sim 0.5$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <mi>z</mi>
                                    <mo>∼</mo>
                                    <mn>0.5</mn>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> in most dynamical dark energy models, and the evolution of <InlineEquation ID="IEq9">
                           <EquationSource Format="TEX"><![CDATA[$$f_{\textrm{DE}}(z)$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <msub>
                                       <mi>f</mi>
                                       <mtext>DE</mtext>
                                    </msub>
                                    <mrow>
                                       <mo stretchy="false">(</mo>
                                       <mi>z</mi>
                                       <mo stretchy="false">)</mo>
                                    </mrow>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> converges to <InlineEquation ID="IEq10">
                           <EquationSource Format="TEX"><![CDATA[$$f_{\textrm{DE}}(0) = 1$$]]></EquationSource>
                           <EquationSource Format="MATHML">
                              <math xmlns:xlink="http://www.w3.org/1999/xlink">
                                 <mrow>
                                    <msub>
                                       <mi>f</mi>
                                       <mtext>DE</mtext>
                                    </msub>
                                    <mrow>
                                       <mo stretchy="false">(</mo>
                                       <mn>0</mn>
                                       <mo stretchy="false">)</mo>
                                    </mrow>
                                    <mo>=</mo>
                                    <mn>1</mn>
                                 </mrow>
                              </math>
                           </EquationSource>
                        </InlineEquation> in all dark energy models.
</Para>
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