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Two-loop NF=1 QED Bhabha scattering: Soft emission and numerical evaluation of the differential cross-section

2004/11/30 by R. Bonciani, Roberto Bonciani, Andrea Ferroglia +6
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2005.03.010

published as Nucl.Phys. B716 (2005) 280-302 · 24 pages, 15 figures. Formulas in Appendix B corrected, changes in Section 3, references added

openalex publication_date 2005/04/09 · arxiv created 2006/05/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Recently, we evaluated the virtual cross-section for Bhabha scattering in pure QED, up to corrections of order alpha4 (NF =1). This calculation is valid for arbitrary values of the squared center of mass energy s and momentum transfer t; the electron and positron mass m was considered a finite, non vanishing quantity. In the present work, we supplement the previous calculation by considering the contribution of the soft photon emission diagrams to the differential cross-section, up to and including terms of order alpha4 (NF=1). Adding the contribution of the real corrections to the renormalized virtual ones, we obtain an UV and IR finite differential cross-section; we evaluate this quantity numerically for a significant set of values of the squared center of mass energy s.

Citations