Fermion Masses and Mixings in a Minimal SO(10)X A_4 SUSY GUT

TL;DR

This paper develops a minimal SUSY SO(10)×A_4 GUT model that explains fermion mass hierarchies and mixing patterns, successfully fitting experimental data and predicting a specific neutrino mixing angle.

Contribution

It introduces a minimal Higgs sector within an SO(10)×A_4 framework to naturally generate fermion mass hierarchies and mixing angles, including a prediction for 3.

Findings

Achieves a good fit to quark and lepton masses and mixings

Predicts neutrino mixing angle 3 .15

Demonstrates bi-large neutrino mixing with small CKM angles

Abstract

A SUSY SO(10) $\times A_4$ GUT model is constructed for fermion masses and mixing by introducing a minimal set of low dimensional Higgs representations needed to break the guage symmetry down to $SU(3)_c \times U(1)_{em}$. The hierarchy of fermion masses can be understood in the framework of $A_4$ symmetry. From the $A_4$-invariant superpotential, the "double lopsided" mass matrices for the charged leptons and the down quarks are obtained. It is shown that this structure leads to bi-large neutrino mixings simultaneously with small CKM mixing angles. An excellent fit to the masses and mixings of the quarks and leptons as well as to CP violation parameter is obtained. Moreover, the model predicts the neutrino mixing angle $\sin\theta_{13}\approx 0.15$.