Radiative large-angle Bhabha scattering in collinear kinematics
V. Antonelli (Milano Univ.), E. A. Kuraev, B.G. Shaikhatdenov, (JINR,Dubna)
TL;DR
This paper calculates the radiative corrections for large-angle high-energy electron-positron scattering with collinear photon emission, providing detailed formulas and numerical estimates relevant for precision measurements.
Contribution
It presents a comprehensive calculation of radiative corrections for collinear photon emission in Bhabha scattering, including virtual, soft, and double hard photon emissions, with connections to structure function formalism.
Findings
Differential cross section with radiative corrections derived
Leading logarithm approximation for two hard photon emission provided
Numerical estimates illustrating the size of corrections
Abstract
The process of large-angle high energy electron-positron scattering with emission of one hard photon almost collinear to one of the charged particles momenta is considered. The differential cross section with radiative corrections due to emission of virtual and soft real photons calculated to a power accuracy is presented. Emission of two hard photons and total expressions for radiative correction are given in leading logarithmical approximation. The latter are illustrated by numeric estimates. A relation of the results with structure function formalism is discussed.
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