  We identify new room for CP violation in lepton flavor violating observables
not bound by the electric dipole moment of leptons. By focusing on new physics
in the muon-electron sector, we show that CP violation can make its first
appearance in lepton flavor violating muon decays rather than in the electric
dipole moment of the electron, further motivating the experimental program of
Mu3e. We tackle this issue by performing the full one-loop running and matching
from the low energy observables at the muon scale, including the T-odd
asymmetry in $\mu\to3e$ decays, to the Standard Model effective field theory
above the electroweak scale. We then sketch a simple UV model that can give
rise to these patterns.
