NLO EW corrections to tau pair production via photon fusion in Pb-Pb ultraperipheral collisions

IF 5 2区 物理与天体物理 Q1 Physics and Astronomy
Jun Jiang, Peng-Cheng Lu, Zong-Guo Si, Han Zhang, Xin-Yi Zhang
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We find that the EW correction <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mi>δ</d:mi><d:msub><d:mi>σ</d:mi><d:mi>EW</d:mi></d:msub></d:math> decreases the total cross section <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mrow><f:msub><f:mrow><f:mi>σ</f:mi></f:mrow><f:mrow><f:mi>NLO</f:mi></f:mrow></f:msub><f:mo>=</f:mo><f:msub><f:mrow><f:mi>σ</f:mi></f:mrow><f:mrow><f:mi>LO</f:mi></f:mrow></f:msub><f:mo>+</f:mo><f:mi>δ</f:mi><f:msub><f:mrow><f:mi>σ</f:mi></f:mrow><f:mrow><f:mi>EW</f:mi></f:mrow></f:msub></f:mrow></f:math> by <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mrow><h:mo>−</h:mo><h:mn>3</h:mn><h:mo>%</h:mo></h:mrow></h:math> at Pb-Pb center-of-mass energy <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:msqrt><j:msub><j:mi>s</j:mi><j:mrow><j:mi>N</j:mi><j:mi>N</j:mi></j:mrow></j:msub></j:msqrt><j:mo>=</j:mo><j:mn>5.02</j:mn><j:mtext> </j:mtext><j:mtext> </j:mtext><j:mi>TeV</j:mi></j:math>. The weak correction plays a significant role whose contribution is about–4 times that of QED. The CMS and ATLAS Collaborations use the reaction <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mi>γ</l:mi><l:mi>γ</l:mi><l:mo stretchy=\"false\">→</l:mo><l:msup><l:mi>τ</l:mi><l:mo>+</l:mo></l:msup><l:msup><l:mi>τ</l:mi><l:mo>−</l:mo></l:msup></l:math> in Pb-Pb and proton-proton UPCs to constrain tau’s anomalous magnetic moment <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:msub><o:mi>a</o:mi><o:mi>τ</o:mi></o:msub></o:math>. By parametrizing the <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mi>γ</q:mi><q:mi>τ</q:mi><q:mi>τ</q:mi></q:math> vertex with two form factors <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:msub><s:mi>F</s:mi><s:mrow><s:mn>1</s:mn><s:mo>,</s:mo><s:mn>2</s:mn></s:mrow></s:msub></s:math>, the cross section can be written as <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:msub><u:mi>σ</u:mi><u:msub><u:mi>a</u:mi><u:mi>τ</u:mi></u:msub></u:msub><u:mo>=</u:mo><u:msub><u:mi>σ</u:mi><u:mi>LO</u:mi></u:msub><u:mo>+</u:mo><u:mi>δ</u:mi><u:msub><u:mi>σ</u:mi><u:msub><u:mi>a</u:mi><u:mi>τ</u:mi></u:msub></u:msub></u:math>, where <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mi>δ</w:mi><w:msub><w:mi>σ</w:mi><w:msub><w:mi>a</w:mi><w:mi>τ</w:mi></w:msub></w:msub></w:math> is proportional to <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:msub><y:mi>a</y:mi><y:mi>τ</y:mi></y:msub></y:math>. The impact of NLO EW corrections on a</ab:mi>τ</ab:mi></ab:msub></ab:math> bounds in a Pb-Pb UPC is limited, as the current experimental bounds are loose. We also find that various differential distributions of the two ratios <cb:math xmlns:cb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><cb:mi mathvariant=\"normal\">d</cb:mi><cb:msub><cb:mi>σ</cb:mi><cb:mi>NLO</cb:mi></cb:msub><cb:mo>/</cb:mo><cb:mi mathvariant=\"normal\">d</cb:mi><cb:msub><cb:mi>σ</cb:mi><cb:mi>LO</cb:mi></cb:msub></cb:math> and <gb:math xmlns:gb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><gb:mi mathvariant=\"normal\">d</gb:mi><gb:msub><gb:mi>σ</gb:mi><gb:msub><gb:mi>a</gb:mi><gb:mi>τ</gb:mi></gb:msub></gb:msub><gb:mo>/</gb:mo><gb:mi mathvariant=\"normal\">d</gb:mi><gb:msub><gb:mi>σ</gb:mi><gb:mi>LO</gb:mi></gb:msub></gb:math> have different line shapes. This work is significant to precisely study the interaction of <kb:math xmlns:kb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><kb:mi>γ</kb:mi><kb:mi>τ</kb:mi><kb:mi>τ</kb:mi></kb:math> via the <mb:math xmlns:mb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mb:mi>γ</mb:mi><mb:mi>γ</mb:mi><mb:mo stretchy=\"false\">→</mb:mo><mb:msup><mb:mi>τ</mb:mi><mb:mo>+</mb:mo></mb:msup><mb:msup><mb:mi>τ</mb:mi><mb:mo>−</mb:mo></mb:msup></mb:math> process. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"62 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.036023","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0

Abstract

We study the next-to-leading order (NLO) electroweak (EW) corrections to the γγ→τ+τ− process in a Pb-Pb ultraperipheral collision (UPC). We find that the EW correction δσEW decreases the total cross section σNLO=σLO+δσEW by 3% at Pb-Pb center-of-mass energy sNN=5.02 TeV. The weak correction plays a significant role whose contribution is about–4 times that of QED. The CMS and ATLAS Collaborations use the reaction γγτ+τ in Pb-Pb and proton-proton UPCs to constrain tau’s anomalous magnetic moment aτ. By parametrizing the γττ vertex with two form factors F1,2, the cross section can be written as σaτ=σLO+δσaτ, where δσaτ is proportional to aτ. The impact of NLO EW corrections on aτ bounds in a Pb-Pb UPC is limited, as the current experimental bounds are loose. We also find that various differential distributions of the two ratios dσNLO/dσLO and dσaτ/dσLO have different line shapes. This work is significant to precisely study the interaction of γττ via the γγτ+τ process. Published by the American Physical Society 2025
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来源期刊
Physical Review D
Physical Review D 物理-天文与天体物理
CiteScore
9.20
自引率
36.00%
发文量
0
审稿时长
2 months
期刊介绍: Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.
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