Majorana dark matter and neutrino mass with $S_3$ symmetry

TL;DR

This paper proposes an $S_3$ symmetry-based extension of the standard model that explains neutrino masses, mixing, and dark matter relic density, aligning with experimental data and exploring loop-level detection and lepton flavor violation.

Contribution

It introduces a minimal $S_3$ and $Z_2$ symmetric model that simultaneously addresses neutrino phenomenology and dark matter, including relic density and detection constraints.

Findings

Neutrino mixing angles consistent with experimental data.

Dark matter relic density matches Planck observations.

Loop-level interactions enable potential indirect detection.

Abstract

This model includes a minimal extension of the standard model with $S_3$ and $Z_2$ symmetries to explain neutrino masses and mixing along with the dark matter phenomenology. Neutrino phenomenology is explored, consistent with the $3 \sigma$ observation of oscillation parameters and a nonzero reactor mixing angle ($\theta_{13}$) is obtained. The $S_3$ singlet Majorana neutrino couples to the third generation of leptons, gives a correct relic density compatible with the Planck data. This model does not allow tree level direct detection, therefore we discuss the loop level effective interaction with the nucleus mediated by gauge boson. Also the constraints from the lepton flavor violating rare decay mode is commented.