Radiative lepton mass and muon g-2 with suppressed lepton flavor and CP violations

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 -> e gamma, 3) suppresses CP violations, such as the electron electric dipole moment (EDM). In this letter, I show that the eigenbasis of the mass matrix and higher dimensional photon operators can be automatically aligned if the masses of heavy leptons are generated radiatively together with the g - 2. As a result, the muon g - 2 is enhanced but the EDM of the electron and mu -> e gamma rate are naturally suppressed. Phenomenology and applications of the mechanism to the B-physics anomalies are argued.

Automated summary

Recent experimental results suggest that a Beyond Standard Model theory should enhance g-2, suppress flavor violations, and CP violations. This letter proposes a theory in which the eigenbasis of the mass matrix can be automatically aligned, enhancing the muon g-2 while naturally suppressing the electron's EDM and the mu -> e gamma rate. Phenomenological implications and applications of this mechanism to B-physics anomalies are also discussed.