Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED

被引：8
作者：
Badger, Simon [1 ,2 ,3 ]
Krys, Jakub [1 ,2 ,3 ,4 ]
Moodie, Ryan [1 ,2 ,3 ]
Zoia, Simone [1 ,2 ,3 ]
机构：
[1] Univ Torino, Dipartimento Fis, Via P Giuria 1, I-10125 Turin, Italy
[2] Univ Torino, Arnold Regge Ctr, Via P Giuria 1, I-10125 Turin, Italy
[3] INFN, Sez Torino, Via P Giuria 1, I-10125 Turin, Italy
[4] Univ Durham, Inst Particle Phys Phenomenol, Dept Phys, Durham DH1 3LE, England
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2023年 / 2023卷 / 11期
基金：
欧盟地平线“2020”;
关键词：
Higher-Order Perturbative Calculations; Precision QED; 2-LOOP MASTER INTEGRALS; DIFFERENTIAL-EQUATIONS; AMPLITUDES; PARTS; JETS; MUON;
D O I：
10.1007/JHEP11(2023)041
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We compute the two-loop QED helicity amplitudes for the scattering of a lepton pair with an off-shell and an on-shell photon, 0 -> & ell;& ell;<overline>gamma gamma(& lowast;), using the approximation of massless leptons. We express all master integrals relevant for the scattering of four massless particles with a single external off-shell leg up to two loops in a basis of algebraically independent multiple polylogarithm, which guarantees an efficient numerical evaluation and compact analytic representations of the amplitudes. Analytic forms of the amplitudes are reconstructed from numerical evaluations over finite fields. Our results complete the amplitude-level ingredients contributing to the (NLO)-L-3 predictions of electron-muon scattering e mu -> e mu, which are required to meet the precision goal of the future MUonE experiment.
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页数：30
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