  Precision probes of new physics are often interpreted through their indirect
sensitivity to short-distance scales. In this proceedings contribution, we
focus on the question of which precision observables, at current sensitivity
levels, allow for an interpretation via either short-distance new physics or
consistent models of long-distance new physics, weakly coupled to the Standard
Model. The electroweak scale is chosen to set the dividing line between these
scenarios. In particular, we find that inverse see-saw models of neutrino mass
allow for light new physics interpretations of most precision leptonic
observables, such as lepton universality, lepton flavor violation, but not for
the electron EDM.
