A 4 $$ {\mathbb{A}}_4 $$ symmetry at colliders and in the universe

Two puzzling facts of our time are the observed patterns in the fermion masses and mixings and the existence of non-baryonic dark matter, which are both often associated with extensions of the Standard Model at higher energy scales. In this paper, we consider a solution to these two problems with the flavour symmetry A 4 × ℤ 2 × ℤ 2 ′ $$ {\mathbb{A}}_4\times {\mathrm{\mathbb{Z}}}_2\times {\mathrm{\mathbb{Z}}}_2^{\prime } $$ , in a model which has been shown before to explain large leptonic mixings with a specific texture. The model contains 3 generations of SU(2) L -doublet scalar fields, arranged as an A 4 $$ {\mathbb{A}}_4 $$ -triplet, that spontaneously break the electroweak symmetry, and a “dark sector” of ℤ 2 $$ {\mathrm{\mathbb{Z}}}_2 $$ -odd fields, containing one Majorana neutrino and an A 4 $$ {\mathbb{A}}_4 $$ -triplet SU(2) L -doublet scalar field, the lightest of which provides a candidate for dark matter