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

Abstract

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.

13 pages, 1 figure v2: references added, g-2 value updated by including the Fermilab result

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• Searching for heavy leptoquarks at a muon collider
• A bridge to new physics: proposing new -- and reviving old -- explanations of $a_{\mu }$
• Flavour alignment of New Physics in light of the $(g-2{)}_{\mu }$ anomaly
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Gauged $SU(3{)}_F$ and loop induced quark and lepton masses
• Effective Field Theory of Chirally-Enhanced Muon Mass and Dipole Operators
• Leptoquark and vector-like quark extended models as the explanation of the muon $g-2$ anomaly
• A Large Muon EDM from Dark Matter
• Loop-induced masses for the first two generations with optimum flavour violation
• Anomalous Magnetic Moment and Higgs Coupling of the Muon in a Sequential U(1) Gauge Model with Dark Matter
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• Radiative Mass Mechanism: Addressing the Flavour Hierarchy and Strong CP Puzzle