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

IF 5 1区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Simon Badger, Jakub Kryś, Ryan Moodie, Simone Zoia
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引用次数: 6

Abstract

A bstract 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 → $$ \ell \overline{\ell}\gamma \gamma $$ ¯ γγ * , 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 N 3 LO predictions of electron-muon scattering eμ → eμ , which are required to meet the precision goal of the future MUonE experiment.
无质量QED中两个环上脱壳光子和上壳光子的轻子对散射
本文利用无质量轻子的近似,计算了具有离壳光子和上壳光子的轻子对的双环QED螺旋度幅值,其值为0→$$ \ell \overline{\ell}\gamma \gamma $$↓↓↓γγ *。我们在代数无关的多重多对数的基础上表达了与四个无质量粒子散射有关的所有主积分,这保证了一个有效的数值评估和紧凑的振幅解析表示。振幅的解析形式是由有限域上的数值计算重建的。我们的结果完成了对电子-介子散射eμ→eμ的n3lo预测的振幅级成分,这是满足未来MUonE实验精度目标所必需的。
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-
CiteScore
10.00
自引率
46.30%
发文量
2107
审稿时长
12 weeks
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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