Dark matter stability from non-Abelian discrete flavor symmetries

TL;DR

This paper proposes a model where a non-Abelian discrete flavor symmetry explains neutrino oscillations and simultaneously ensures dark matter stability through spontaneous symmetry breaking, predicting detectable signals in future experiments.

Contribution

It introduces a renormalizable model linking flavor symmetry breaking to dark matter stability, connecting neutrino physics with dark matter phenomenology.

Findings

Dark matter is stabilized by a residual Z2 symmetry from flavor symmetry breaking.

The model predicts a scalar doublet dark matter candidate detectable in nuclear recoil experiments.

It suggests an inverse neutrino mass hierarchy with observable neutrinoless double beta decay rates.

Abstract

We present a mechanism for the dark matter stability in the framework of a non-Abelian avour symmetry renormalizable model. The same non-abelian discrete avor symmetry which accounts for the observed pattern of neutrino oscillations, spontaneously breaks to a Z2 subgroup which renders DM stable. The simplest scheme leads to a scalar doublet DM potentially detectable in nuclear recoil experiments, inverse neutrino mass hierarchy, hence a neutrinoless double beta decay rate accessible to upcoming searches.