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High-energy muons can travel large thicknesses of matter. For undergroundneutrino and cosmic ray detectors the energy loss of muons has to be knownaccurately for simulations. In this article the next-to-leading ordercorrection to the average energy loss of muons through bremsstrahlung iscalculated using a modified Weizs\"acker-Williams method. An analyticalparametrisation of the numerical results is given.

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