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arXiv:hep-ph/0405275·v2·High Energy Physics — Phenomenology

Two-Loop N_F=1 QED Bhabha Scattering Differential Cross Section

R. Bonciani🇩🇪 · A. Ferroglia🇩🇪 · P. Mastrolia🇺🇸 · E. Remiddi🇨🇭 · J. J. van der Bij🇩🇪

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Abstract

We calculate the two-loop virtual, UV renormalized corrections at order \alpha^4 (N_F=1) in QED to the Bhabha scattering differential cross section, for arbitrary values of the squared c.m. energy s and momentum transfer t, and on-shell electrons and positrons of finite mass m. The calculation is carried out within the dimensional regularization scheme; the remaining IR divergences appear as polar singularities in (D-4). The result is presented in terms of 1- and 2-dimensional harmonic polylogarithms, of maximum weight 3.

Comments: 61 pages, 4 figures. Overall sign mistakes in some formulas in appendix corrected, references added

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