Two-loop fermionic corrections to massive Bhabha scattering

2007/04/27 by Stefano Actis, S. Actis, M. Czakon +2 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2007.06.023

published as Nucl.Phys.B786:26-51,2007 · 22 pages, 5 tables, 5 figures, eq. 4.9 corrected

arxiv created 2007/04/27 · openalex publication_date 2007/07/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We evaluate the two-loop corrections to Bhabha scattering from fermion loops in the context of pure Quantum Electrodynamics. The differential cross section is expressed by a small number of Master Integrals with exact dependence on the fermion masses me, mf and the Mandelstam invariants s,t,u. We determine the limit of fixed scattering angle and high energy, assuming the hierarchy of scales me² << mf² << s,t,u. The numerical result is combined with the available non-fermionic contributions. As a by-product, we provide an independent check of the known electron-loop contributions.

Citations

• New features of FORM
• Automatized analytic continuation of Mellin–Barnes integrals
• Differential Equations for Two-Loop Four-Point Functions
• Harmonic Polylogarithms

Cited by

• Heavy-quark production in massless quark scattering at two loops in QCD
• Two-loop fermionic corrections to heavy-quark pair production: the quark-antiquark channel
• Virtual Hadronic Corrections to Massive Bhabha Scattering
• Virtual Hadronic and Leptonic Contributions to Bhabha Scattering

Related

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• Importance of fermion loops W⁺W^- in elastic scattering
• On master integrals for two loop Bhabha scattering
• All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering