A Unified Model of Quarks and Leptons with a Universal Texture Zero

TL;DR

This paper proposes a universal texture zero in fermionic mass matrices, leading to a consistent model for quark and lepton masses, mixings, and CP violation, with a successful numerical fit to experimental data.

Contribution

It introduces a non-Abelian discrete family symmetry model with a universal texture zero, compatible with grand unification, and provides a detailed phenomenological analysis and numerical fit.

Findings

Achieves excellent fit to 18 fermion observables with 9 parameters

Demonstrates scalar familon vacuum alignment along desired directions

Shows discrete gauge anomaly freedom at relevant energy scale

Abstract

We show that a universal texture zero in the (1,1) position of all fermionic mass matrices, including heavy right-handed Majorana neutrinos driving a type-I see-saw mechanism, can lead to a viable spectrum of mass, mixing and CP violation for both quarks and leptons, including (but not limited to) three important postdictions: the Cabibbo angle, the charged lepton masses, and the leptonic `reactor' angle. We model this texture zero with a non-Abelian discrete family symmetry that can easily be embedded in a grand unified framework, and discuss the details of the phenomenology after electroweak and family symmetry breaking. We provide an explicit numerical fit to the available data and obtain excellent agreement with the 18 observables in the charged fermion and neutrino sectors with just 9 free parameters. We further show that the vacua of our new scalar familon fields are readily aligned along desired directions in family space, and also demonstrate discrete gauge anomaly freedom at the relevant scale of our effective theory.