Discrete dark matter

TL;DR

This paper introduces a novel theoretical framework linking non-abelian discrete flavor symmetries to dark matter stability, predicting detectable scalar doublet dark matter and specific neutrino oscillation features.

Contribution

It proposes a new model where a non-abelian discrete flavor symmetry explains neutrino patterns and naturally stabilizes dark matter through spontaneous symmetry breaking.

Findings

Scalar doublet dark matter potentially detectable in experiments

Predicts an inverse neutrino mass hierarchy and accessible neutrinoless double beta decay

Reactor angle zero implies no CP violation in neutrino oscillations

Abstract

We propose a new motivation for the stability of dark matter (DM). We suggest that the same non-abelian discrete flavor 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, while reactor angle equal to zero gives no CP violation in neutrino oscillations.