Dirac Neutrinos and Dark Matter within a Minimal Discrete Symmetry Model

TL;DR

This paper proposes a minimal discrete symmetry model extending the standard model to generate Dirac neutrino masses, explain neutrino oscillation data, and provide a dark matter candidate, with testable phenomenological predictions.

Contribution

It introduces a simple discrete symmetry framework with vector-like leptons and a scalar singlet to address neutrino masses and dark matter within a unified model.

Findings

Successfully generates Dirac neutrino masses consistent with data

Predicts the atmospheric mixing angle in the higher octant

Provides a viable dark matter candidate

Abstract

We present a model that extends the standard model by incorporating the simplest discrete symmetry groups, $Z_2$ and $Z_3$. This model introduces vector-like leptons and a real scalar singlet. Based on this framework, we generate Dirac neutrino masses and explain the neutrino normal mass ordering. The model also aligns well with current oscillation data regarding theoretical values of the leptonic mixing angles and the Dirac CP-violating phase. Furthermore, it predicts that the atmospheric mixing angle falls in the higher octant and proposes a viable dark matter candidate. We also discuss other phenomenological aspects and future testability of the model.