Electroweak Hard Photon Bremsstrahlung in Electron-Nucleon Scattering

TL;DR

This paper develops a method to accurately compute the hard photon bremsstrahlung contribution in electroweak parity-violating electron-proton scattering, reducing dependence on detector acceptance and aiding experimental data analysis.

Contribution

It provides a novel treatment of hard photon bremsstrahlung in PV electron-proton scattering using experimental form factors, enabling better theoretical predictions.

Findings

Derived PV electron-proton scattering cross sections including HPB effects.

Expressed results through kinematic parameters for practical experimental application.

Facilitated analysis of current and future PV scattering experiments.

Abstract

One way to treat the infrared divergences of the electroweak Next-to-Leading-Order (NLO) differential cross sections to parity-violating (PV) electron-proton scattering is by adding soft-photon emission contribution. Although more physical, the results are left with a logarithmic dependence on the photon detector acceptance, which can only be eliminated by considering Hard Photon Bremsstrahlung (HPB) contribution. Here we present a treatment of HPB for PV electron-proton scattering. HPB differential cross sections for electron-proton scattering have been computed using the experimental values of nucleon form factors. The final results are expressed through kinematic parameters, making it possible to apply the computed PV HPB differential cross sections for the analysis of data of a range of current and proposed experiments.