New U(1) Gauge Model of Radiative Lepton Masses with Sterile Neutrino and Dark Matter

TL;DR

This paper proposes an anomaly-free U(1) gauge extension of the standard model that generates radiative masses for three active neutrinos, a sterile neutrino, and charged leptons, while preserving a residual Z2 symmetry that stabilizes dark matter.

Contribution

It introduces a novel U(1) gauge model with minimal Higgs content that naturally produces radiative masses for neutrinos and charged leptons, and includes a stable dark matter candidate.

Findings

All neutrinos and charged leptons acquire radiative masses.

A residual Z2 symmetry ensures dark matter stability.

The model is anomaly-free with minimal Higgs content.

Abstract

An anomaly-free U(1) gauge extension of the standard model (SM) is presented. Only one Higgs doublet with a nonzero vacuum expectation is required as in the SM. New fermions and scalars as well as all SM particles transform nontrivially under this U(1), resulting in a model of three active neutrinos and one sterile neutrino, all acquiring radiative masses. Charged-lepton masses are also radiative as well as the mixing between active and sterile neutrinos. At the same time, a residual $Z_2$ symmetry of the U(1) gauge symmetry remains exact, allowing for the existence of dark matter.