Three Family SU(5) GUT and Inverted Neutrino Mass Hierarchy

TL;DR

This paper presents a supersymmetric SU(5) GUT model with a U(1)_F flavor symmetry that naturally explains fermion mass hierarchies and predicts an inverted neutrino mass hierarchy with specific phenomenological implications.

Contribution

It introduces a minimal field content SU(5) GUT with anomaly-free U(1)_F symmetry, providing a natural explanation for fermion hierarchies and neutrino mass ordering.

Findings

Predicts inverted hierarchical neutrino masses

Provides texture zero Yukawa matrices for fermion masses

Offers a minimal and anomaly-free flavor symmetry construction

Abstract

Supersymmetric SU(5) GUT augmented with anomaly free U(1)_F flavor symmetry is presented. Very economical field content and U(1)_F charge assignment are obtained by specific construction. In particular, three families of 10+5* chiral matter, along the SU(5) singlet states (some of which serve as right handed neutrinos) are obtained. Appealing texture zero Yukawa matrices provide natural understanding of hierarchies between charged fermion masses and mixings. The model predicts inverted hierarchical neutrino mass scenario with interesting implications.