Bremsstrahlung in weak charged current polarized lepton-nucleon deep inelastic scattering

TL;DR

This paper analyzes bremsstrahlung corrections in polarized lepton-nucleon deep inelastic scattering, emphasizing the use of helicity amplitudes and Lorentz-invariant formalism to improve theoretical accuracy.

Contribution

It introduces a simplified method for calculating bremsstrahlung corrections using helicity amplitudes and Lorentz-invariant formalism in charged current deep inelastic scattering.

Findings

Bremsstrahlung corrections significantly affect cross sections.

Helicity amplitudes streamline matrix element calculations.

Lorentz-invariant formalism effectively handles kinematical peculiarities.

Abstract

The processes of lepton-nucleon scattering, including ones with both polarized beams, at high energy provide relevant information about interaction and particles structure, allowing to analyze nucleon spin structure. As energy and experimental accuracy rise, necessity to improve Born cross sections and polarized asymmetries with higher order radiative corrections becomes substantial. In this report we stress on lowest order bremsstrahlung corrections treatment using helicity amplitudes method as applied to actual nowadays charged current lepton-nucleon deep inelastic processes, that allows to simplify matrix element calculation procedure. Real photon emission contribution is calculated by means of Lorentz-invariant formalism. Kinematical peculiarities on bremsstrahlung correction are discussed.