Scotogenic $A_5 \to A_4$ Dirac Neutrinos with Freeze-In Dark Matter

TL;DR

This paper proposes a model linking Dirac neutrino masses and dark matter using a symmetry breaking from $A_5$ to $A_4$, with dark fermions produced via Higgs decay, unifying neutrino and dark matter properties.

Contribution

It introduces a novel framework connecting neutrino mixing and dark matter through non-Abelian discrete symmetries and their soft breaking.

Findings

Neutrino masses generated radiatively with $A_5$ symmetry.

Dark fermions produced via Higgs decay mechanisms.

Unified understanding of neutrino structure and dark matter.

Abstract

Radiative Dirac neutrino masses and their mixing are linked to dark matter through the non-Abelian discrete symmetry $A_5$ of the 4-dimensional pentatope, softly broken to $A_4$ of the 3-dimensional tetrahedron. This unifying understanding of neutrino family structure from dark matter is made possible through the interplay of gauge symmetry, renormalizable Lagrangian field theory, and softly broken discrete symmetries. Dark neutral fermions are produced through Higgs decay.