Neutrino mass and $(g-2)_{\mu}$ with dark $U(1)_D$ symmetry

TL;DR

This paper introduces a dark $U(1)_D$ gauge symmetry extension to the Standard Model to explain neutrino masses, dark matter, and the muon g-2 anomaly, with kinetic mixing generated at one loop.

Contribution

It presents a novel model with dark $U(1)_D$ symmetry that naturally accounts for tiny neutrino masses, dark matter, and the muon g-2 deviation.

Findings

Neutrino masses are generated radiatively via dark sector interactions.

The model explains the observed muon g-2 anomaly.

Dark matter candidates emerge naturally within the framework.

Abstract

We propose an extension of the Standard Model (SM) for radiative neutrino mass by introducing a dark $U(1)_D$ gauge symmetry. The kinetic mixing between the SM gauges and the dark $U(1)_D$ gauge arises at 1-loop mediated by new inert scalar fields. We show that the tiny neutrino mass and dark matter candidates are naturally accommodated. Motivated by the recent measurement of $(g-2)_{\mu}$ indicating $4.2~ \sigma$ deviation from the SM prediction, we examine how the deviation $\Delta a_{\mu}$ can be explained in this model.