# On the cancellation of radiative corrections to the cross section of electron-proton scattering

## TL;DR

This paper investigates the cancellation of radiative corrections in high-energy electron-proton scattering, revealing that collinear photon contributions cancel under specific experimental conditions, simplifying cross section calculations.

## Contribution

It demonstrates that collinear photon contributions to initial electrons are canceled in a particular experimental setup, extending understanding of radiative correction cancellations.

## Key findings

- Soft photon contributions cancel between real and virtual corrections.
- Collinear photon contributions to scattered electrons are generally canceled.
- Initial electron collinear contributions are canceled in the proposed experimental setup.

## Abstract

The largest radiative corrections to the cross section of electron-proton scattering at high energies are associated with emission of photons, real and virtual, by electron. They contain large logarithms coming from soft and collinear photons. Cancellation of the contributions of the soft photons to virtual and real corrections is well known. Less known is the fact that the contributions of the photons collinear to scattered electrons are also cancelled for the most of experiments. On the contrary, contributions of the photons collinear to initial electrons as a rule are not cancelled. It is shown, however, that these contributions are cancelled for the experimental set up suggested by A.A. Vorobev for measurement of proton radius.