An explicit SU(12) family and flavor unification model with natural fermion masses and mixings

TL;DR

This paper proposes an SU(12) unification model that naturally explains fermion masses and mixings without external flavor symmetries, using higher dimensional Yukawa interactions and small VEVs.

Contribution

It introduces a novel SU(12) unification framework with three light chiral families and explains mass hierarchies through higher dimensional interactions.

Findings

Model aligns well with observed fermion masses and mixings

Uses Higgs fields with small VEVs to generate hierarchies

Avoids external flavor symmetries in unification

Abstract

We present an SU(12) unification model with three light chiral families, avoiding any external flavor symmetries. The hierarchy of quark and lepton masses and mixings is explained by higher dimensional Yukawa interactions involving Higgs bosons that contain SU(5) singlet fields with VEVs about 50 times smaller than the SU(12) unification scale. The presented model has been analyzed in detail and found to be in very good agreement with the observed quark and lepton masses and mixings.