Radiative corrections to elastic proton-electron scattering measured in coincidence

TL;DR

This paper calculates the QED radiative corrections to elastic proton-electron scattering, considering experimental conditions where both particles are detected, providing detailed theoretical predictions and numerical results.

Contribution

It presents a comprehensive calculation of model-independent radiative corrections for proton-electron scattering in a coincidence measurement setup.

Findings

Calculated differential cross sections including radiative corrections.

Provided numerical results for various experimental uncertainties.

Analyzed the impact of radiative corrections on experimental measurements.

Abstract

The differential cross section for elastic scattering of protons on electrons at rest is calculated taking into account the QED radiative corrections to the leptonic part of interaction. These model-independent radiative corrections arise due to emission of the virtual and real soft and hard photons as well as to vacuum polarization. We analyze an experimental setup when both the final particles are recorded in coincidence and their energies are determined within some uncertainties. The kinematics, the cross section, and the radiative corrections are calculated and numerical results are presented.