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

TL;DR

This paper proposes a radiative lepton mass generation mechanism that enhances the muon g-2 anomaly while suppressing lepton flavor and CP violations, aligning mass eigenstates with higher-dimensional operators.

Contribution

It introduces a model where radiative heavy lepton masses naturally align with photon operators, addressing muon g-2 and flavor violation constraints simultaneously.

Findings

Muon g-2 is enhanced in the model.

Electron EDM and μ→eγ rates are suppressed.

Potential applications to B-physics anomalies.

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.