Next to leading order QED corrections to the process $ \gamma\gamma\rightarrow\mu^+\mu^-\gamma $

TL;DR

This paper calculates one-loop QED corrections to the gamma-gamma to mu+ mu- gamma process, providing analytical formulas and numerical results to improve theoretical predictions for this particle interaction.

Contribution

The work presents the first analytical calculation of one-loop QED corrections for this specific process, including implementation in C for practical computations.

Findings

Corrections significantly affect cross-section calculations.

Analytical formulas enable precise theoretical predictions.

Numerical results demonstrate the impact of corrections.

Abstract

We have calculated one loop quantum electrodynamic corrections to the process $ \gamma\gamma\rightarrow\mu^+\mu^-\gamma $, where all photons are on mass shell and the muon mass is taken into account. The result is obtained in the analytical form and is implemented as functions in the C programming language, which can be used to calculate the cross-section, the differential cross section, and to construct generators. We also present numerical results for corrections to the cross section and to the differential cross section.