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Radiative corrections to the Bhabha scattering

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Abstract

Large angle Bhabha scattering cross section and related processes are considered. Standard procedure of calculation of RC with emission of one and two real photons as well as lepton pairs are considered in details. Special attention is paid to the case of radiative large angle Bhabha scattering, where we show the validity of factorization theorem for one loop level RC. This is the basic assumption of the Drell-Yan form of the cross sections when hard particles are detected at large angles. The cases of collinear and semi-collinear kinematics for the final particles are considered explicitly. At the end of the review we consider some contributions to the large angles Bhabha elastic scattering cross section at two loop level. Among them, the emission of two hard photons in collinear and semi-collinear kinematics regions and the contribution of a set of gauge invariant FD of two loop level was calculated.

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Arbuzov, A.B., Bytev, V.V., Kuraev, E.A. et al. Radiative corrections to the Bhabha scattering. Phys. Part. Nuclei 41, 636–689 (2010). https://doi.org/10.1134/S1063779610050023

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