Abstract
Radiative corrections to the decay rate of charged fermions caused by the presence of a thermal bath of photons are calculated in the limit when temperatures are below the masses of all charged particles involved. The cancellation of finite-temperature infrared divergences in the decay rate is described in detail. Temperature-dependent radiative corrections to a two-body decay of a hypothetical charged fermion and to electroweak decays of a muon $\ensuremath{\mu}\ensuremath{\rightarrow}e{\ensuremath{\nu}}_{\ensuremath{\mu}}{\overline{\ensuremath{\nu}}}_{e}$ are given. We touch upon possible implications of these results for charged particles in the early Universe.
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