A model for Neutrino Masses and Dark Matter with the Discrete Gauge Symmetry

TL;DR

This paper presents a renormalizable U(1) gauge model that explains small neutrino masses and provides stable dark matter candidates through a discrete gauge symmetry, with testable predictions at TeV-scale energies.

Contribution

It introduces a novel U(1) gauge model that naturally stabilizes dark matter without extra global symmetries and generates neutrino masses at one-loop level.

Findings

Neutrino masses generated at one-loop level.

Multiple stable dark matter candidates identified.

Model predicts new particles at TeV scale.

Abstract

A simple renormalizable U(1) gauge model is constructed to explain the smallness of the active neutrino masses and provide the stable cold dark matter candidate simultaneously. The local U(1) symmetry is assumed to be spontaneously broken by a scalar field around the TeV scale. The active neutrino masses are then generated at one-loop level. This model contains several cold dark matter candidates whose stability is guaranteed by a residue discrete gauge $Z_2$ symmetry a la the Krauss-Wilczek mechanism. Unlike the other dark matter models, no further global discrete or continuous symmetry is introduced. Moreover, all the new degrees of freedom beyond the Standard Model acquire their masses only after the spontaneous breaking of U(1) thus they could be probed at or below the TeV scale. The possible cosmological and phenomenological consequences are briefly discussed.