Fermion Mixings in SU(9) Family Unification

TL;DR

This paper presents an SU(9) family unification model explaining why lepton mixing angles are larger than quark mixing angles, linking it to a see-saw mechanism for neutrino mass generation, and offers increased predictiveness over previous models.

Contribution

It introduces a constrained SU(9) model that explains lepton-quark mixing angle differences and enhances predictiveness compared to prior models by Barr.

Findings

Lepton mixing angles are significantly larger than quark angles.

The model links mixing angles to a see-saw mechanism for neutrino masses.

It provides more constrained and predictive framework than previous models.

Abstract

In an SU(9) model of gauged family unification, we propose an explanation for why angles observed in the lepton flavor ({\it PMNS}) mixing matrix are significantly larger than those measured for any analagous quark flavor ({\it KM}) mixing angle. It is directly related to a see-saw mechanism that we assume to be responsible for the generation of neutrino masses. Our model is more constrained and therefore even more predictive than a model previously proposed by Barr.