Title: Rare muon decays: high-intensity probes of heavy and light new physics
Abstract: I will discuss muon-to-electron conversion signatures arising from heavy and light new physics at high-intensity rare muon decay experiments. For heavy new physics, I will outline a tower of effective field theories for computing the rate of $\mu \to e$ conversion in the field of a nucleus. For light new physics, I will focus on the discovery potential and reach of the $\mu \to 5e$ channel at Mu3e, as well as the possibility of detecting 'signal' electrons from muon-induced baryon number violation at Mu2e and COMET.