A renormalizable fermion mass model with the double tetrahedral group

TL;DR

This paper introduces a renormalizable fermion mass model based on the double tetrahedral group T', which explains quark and lepton masses and mixing without right-handed neutrinos, using radiative Majorana neutrino mass generation.

Contribution

It proposes a novel renormalizable model utilizing the double tetrahedral group T' that naturally accounts for fermion masses and mixing patterns without right-handed neutrinos.

Findings

Consistent quark sector with Fritzsch-type mass matrices

Lepton sector predicts tribimaximal mixing and inverted hierarchy

Neutrino masses generated radiatively without Majorana mass terms

Abstract

We present a renormalizable model for fermion masses based solely on the double tetrahedral group T'. It does not include right handed neutrinos and majorana neutrino masses are generated radiatively. The scalar sector of the model involves three SU(2) doublets and a set of lepton number violating (charged) scalars needed to give mass to the neutrinos. In the quark sector the model leads to a Fritzsch type scenario that is consistent with all the existing data. In the lepton sector, the model leads to tribimaximal (and near tribimaximal) mixing, and an inverted mass hierarchy.