# Radiative corrections to the average bremsstrahlung energy loss of high-energy muons

## TL;DR

This paper calculates the next-to-leading order radiative correction to the average bremsstrahlung energy loss of high-energy muons, providing an analytical parametrization crucial for accurate simulations in underground neutrino and cosmic ray detectors.

## Contribution

It introduces a novel calculation of the NLO correction to muon bremsstrahlung energy loss using a modified Weizsäcker-Williams method, with an analytical parametrization of results.

## Key findings

- NLO correction to muon bremsstrahlung energy loss quantified.
- Analytical parametrization of the correction provided.
- Enhanced accuracy for muon energy loss simulations in underground detectors.

## Abstract

High-energy muons can travel large thicknesses of matter. For underground neutrino and cosmic ray detectors the energy loss of muons has to be known accurately for simulations. In this article the next-to-leading order correction to the average energy loss of muons through bremsstrahlung is calculated using a modified Weizs\"acker-Williams method. An analytical parametrisation of the numerical results is given.