Non-Abelian Discrete Dark Matter

TL;DR

This paper proposes a minimal dark matter model stabilized by a non-Abelian D_3 symmetry, predicting multi-component dark matter with unique thermal history and testable interactions via the Higgs portal.

Contribution

It introduces the first minimal model with D_3 symmetry for dark matter, featuring singlet and doublet scalars and novel multi-component thermal evolution.

Findings

Predicts two species of dark matter in the model

Suggests unique thermal history due to D_3 interactions

Proposes testability through future direct detection experiments

Abstract

We consider the minimal model in which dark matter is stabilized by a non-Abelian discrete symmetry. The symmetry group is taken to be D_3, which is the smallest non-Abelian finite group. The minimal model contains (nontrivial) singlet and doublet scalar representations of D_3 which couple to the Standard Model fields via the Higgs portal. This construction predicts two species of dark matter over much of the parameter space. Nontrivial interactions under D_3 lead to a novel thermal history of dark matter, while the multi-component nature of dark matter can be tested by future direct detection experiments.