An Explicit SU(12) Family and Flavor Unification Model

TL;DR

This paper presents an explicit SUSY SU(12) unification model that explains quark and lepton mass hierarchies without external flavor symmetries, aligning well with observed data through higher dimensional Yukawa interactions.

Contribution

It introduces a novel SUSY SU(12) model with three light chiral families that accounts for fermion mass hierarchies using higher dimensional Yukawa interactions, avoiding external flavor symmetries.

Findings

Model aligns with observed quark and lepton masses and mixings.

Nearly all parameters in fermion mass matrices are of order one.

The hierarchy is explained by Higgs fields with VEVs below the GUT scale.

Abstract

An explicit SUSY SU(12) unification model with three light chiral families is presented which avoids any external flavor symmetries. The hierarchy of quark and lepton masses and mixings is explained by higher dimensional Yukawa interactions involving Higgs bosons containing SU(5) singlet fields with VEVs appearing at or below the SUSY GUT scale of 2 \times 10^{16} GeV, approximately 50 times smaller than the SU(12) unification scale. The model has been found to be in good agreement with the observed quark and lepton masses and mixings, with nearly all prefactors of O(1) in the four Dirac and one Majorana fermion mass matrices.