  Experiments seeking to detect radio emission stemming from neutrino
interactions will soon reach sensitivities that bring a detection within reach.
Since experiments like RNO-G or the future IceCube-Gen2 target more than an
order of magnitude more effective volume than existing experiments, the renewed
and detailed study of rare backgrounds is needed. In this paper, we study the
potential background from energy losses of highly energetic atmospheric muons.
Due to both limited experimental measurements and limited modeling in hadronic
interaction models, the expected event rate is subject to large uncertainties.
Here, we estimate rate predictions and their uncertainties for different models
and instrumental parameters. We also study possible routes towards mitigation
of the muon background, such as parent air shower detection, and illustrate
what is needed to make the first measurement of the prompt muon flux at
energies above 10 PeV.
