A radiative lepton model in a non-invertible fusion rule

TL;DR

This paper introduces a novel radiative lepton mass model utilizing a non-invertible fusion rule, which stabilizes particles and explains neutrino masses, dark matter, and lepton flavor violations.

Contribution

It proposes a new mechanism where the Ising fusion rule induces lepton masses and stabilizes particles, providing a unified explanation for neutrino masses, dark matter, and lepton flavor violations.

Findings

Successfully explains neutrino oscillation data

Achieves consistent dark matter relic density

Satisfies muon g-2 and lepton flavor violation constraints

Abstract

We propose a new mechanism in which electron and muon masses are induced at one-loop level after dynamically violating the symmetry of the Ising fusion rule. In the neutrino sector, while the neutrino mass is generated at one-loop level, the Ising fusion rule plays a role in stabilizing the particles inside the loop. As a result, the symmetry works like a $Z_2$ symmetry that is not broken at any loop order. Subsequently, we discuss the lepton flavor violating processes, muon anomalous magnetic dipole moment, and relic density of dark matter, where we specify our dark matter candidate to be a singlet boson and briefly analyze the relic density by estimating the DM annihilation cross section. Finally, we present results for both the DM cross section and the muon $g-2$, satisfying the neutrino oscillation data as well as the constraints of lepton flavor violations.