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

Abstract

We calculate the two-loop virtual, UV renormalized corrections at order α^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.

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

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