  The recent experimental status, including the confirmation of the muon $g-2$
anomaly at Fermilab, indicates a Beyond Standard Model (BSM) satisfying the
following properties: 1) it enhances the $g-2$ 2) suppresses flavor violations,
such as $\mu \to e \gamma$, 3) suppresses CP violations, such as the electron
electric dipole moment (EDM). In this letter, I show that if the masses of
heavy leptons are generated radiatively, the eigenbasis of the mass matrix and
higher dimensional photon operators can be automatically aligned. As a result,
the muon $g-2$ is enhanced but the EDM of the electron and $\mu \to e \gamma$
rate are suppressed. Phenomenology and applications of the mechanism to the
B-physics anomalies are argued.
