Natural fermion mass hierarchy and mixings in family unification

TL;DR

This paper proposes an SU(9) family unification model that naturally explains the hierarchy of fermion masses and mixings, including a mechanism for small neutrino masses via the see-saw.

Contribution

It introduces a novel SU(9) model that unifies three light chiral families and accounts for fermion mass hierarchies and neutrino masses within a consistent framework.

Findings

Successful explanation of fermion mass hierarchy

Inclusion of right-handed neutrinos with small Majorana masses

Compatibility with observed neutrino oscillation data

Abstract

We present an SU(9) model of family unification with three light chiral families, and a natural hierarchy of charged fermion masses and mixings. The existence of singlet right handed neutrions with masses about two orders of magnitude smaller than the GUT scale, as needed to understand the light neutrinos masses via the see-saw mechanism, is compelling in our model.