Radiative corrections to the cross section of $e^-+p\to \nu+n$ and the crossed processes

TL;DR

This paper calculates the lowest-order and higher-order radiative corrections to the cross section of the electron-proton to neutrino-neutron process within QED, including virtual and real photon emissions, and extends the analysis to crossing processes.

Contribution

It provides a comprehensive calculation of radiative corrections for the process and its crossing channels, incorporating higher-order effects in leading and next-to-leading logarithmic approximations.

Findings

Derived the Born cross section and first-order radiative corrections.

Generalized results to include higher-order corrections in leading and next-to-leading logs.

Analyzed crossing processes in the leading approximation.

Abstract

Born cross section and the radiative corrections to its lowest order are considered in the frame work of QED with structureless nucleons including the emission of virtual and real photons. Result is generalized to take into account radiative corrections in higher orders of perturbation theory in the leading and next-to leading logarithmic approximation. Crossing processes are considered in the leading approximation.