Neutrino mixing from the double tetrahedral group T^{\prime}

TL;DR

This paper demonstrates how the discrete non-abelian group T' can be used to construct flavor models for quarks and leptons, providing a basis for more comprehensive theories.

Contribution

It introduces two simple models utilizing T' symmetry that incorporate right-handed neutrinos and flavon fields within the MSSM framework.

Findings

Models successfully reproduce flavor structures.

Inclusion of right-handed neutrinos and flavons.

Framework for extending flavor model building.

Abstract

It is shown that it is possible to create successful models of flavor for both quarks and leptons using the discrete non-abelian group $T^{\prime}$ by itself. Two simple realizations are presented that can be used as the starting point for more general scenarios. In addition to the Minimal Supersymmetric Standard Model particle content, the models include three generations of right handed neutrinos and four scalar flavon fields. Three of the flavons are needed in the quark and charged lepton sector of the models and the fourth flavon participates only in the neutrino sector.