Jun Jiang, Peng-Cheng Lu, Zong-Guo Si, Han Zhang, Xin-Yi Zhang
{"title":"NLO EW corrections to tau pair production via photon fusion in Pb-Pb ultraperipheral collisions","authors":"Jun Jiang, Peng-Cheng Lu, Zong-Guo Si, Han Zhang, Xin-Yi Zhang","doi":"10.1103/physrevd.111.036023","DOIUrl":null,"url":null,"abstract":"We study the next-to-leading order (NLO) electroweak (EW) corrections to the γ</a:mi>γ</a:mi>→</a:mo>τ</a:mi></a:mrow>+</a:mo></a:mrow></a:msup>τ</a:mi></a:mrow>−</a:mo></a:mrow></a:msup></a:mrow></a:math> process in a Pb-Pb ultraperipheral collision (UPC). 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=5.02TeV. The weak correction plays a significant role whose contribution is about–4 times that of QED. The CMS and ATLAS Collaborations use the reaction γγ→τ+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 γγ→τ+τ− process. Published by the American Physical Society2025
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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:
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