Fermion Mass Hierarchy and Proton Stability from Non-anomalous U(1)_F in SUSY SU(5)

TL;DR

This paper proposes a supersymmetric SU(5) model with a non-anomalous U(1)_F symmetry that naturally explains fermion mass hierarchies, mixing patterns, and suppresses proton decay without anomalies or exotic fields.

Contribution

It introduces a realistic SUSY SU(5) model with a non-anomalous U(1)_F symmetry that accounts for fermion masses and suppresses proton decay, avoiding the need for Green-Schwarz mechanism.

Findings

Achieves realistic fermion mass hierarchies and mixing patterns.

Automatically cancels all gauge anomalies, including [U(1)_F]^3.

Suppresses proton decay mediated by dimension 5 operators.

Abstract

We present a realistic supersymmetric SU(5) model combined with a non-anomalous U(1)_F symmetry. We find a set of U(1)_F charges which automatically lead to the realistic mass hierarchy and mixing patterns for quarks, leptons and neutrinos. All gauge anomalies, including the [U(1)_F]^3 anomaly, are cancelled in our model without invoking the Green-Schwarz mechanism or having exotic fields. Proton decay mediated by dimension 5 operators is automatically suppressed in our model, because the scale set by the largest right-handed neutrino mass is much less than the GUT scale.