{"title":"Master integrals for e+e− → 2γ process at large energies and angles","authors":"Roman N. Lee, Vyacheslav A. Stotsky","doi":"10.1007/JHEP12(2024)106","DOIUrl":null,"url":null,"abstract":"<p>We calculate master integrals for the two-loop QED corrections to <i>e</i><sup>+</sup><i>e</i><sup><i>−</i></sup> → 2<i>γ</i> in terms of generalized power series with respect to electron mass. The coefficients of this series are expressed via Goncharov’s polylogarithms. Our approach exploits a number of modern multiloop methods: IBP reduction, differential equations for master integrals, Frobenius method, reduction to <i>ϵ</i>-form, and DRA method.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 12","pages":""},"PeriodicalIF":5.4000,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2024)106.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/JHEP12(2024)106","RegionNum":1,"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
摘要
我们用关于电子质量的广义幂级数来计算 e+e- → 2γ 的二环 QED 修正的主积分。这个级数的系数通过冈察洛夫多项式来表示。我们的方法利用了许多现代多环方法:IBP 还原法、主积分微分方程法、弗罗贝尼斯法、ϵ-形式还原法和 DRA 法。
Master integrals for e+e− → 2γ process at large energies and angles
We calculate master integrals for the two-loop QED corrections to e+e− → 2γ in terms of generalized power series with respect to electron mass. The coefficients of this series are expressed via Goncharov’s polylogarithms. Our approach exploits a number of modern multiloop methods: IBP reduction, differential equations for master integrals, Frobenius method, reduction to ϵ-form, and DRA method.
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