Four Zero Texture Fermion Mass Matrices in SO(10) GUT

TL;DR

This paper integrates four zero texture fermion mass matrices within SO(10) GUT, leading to a highly predictive model that aligns well with observed neutrino mixing angles.

Contribution

It combines phenomenological four zero textures with SO(10) GUT constraints, reducing free parameters and improving predictive power.

Findings

Constraints on lepton mass matrix parameters

Agreement with solar/atmospheric neutrino mixing angles

Reduced parameter space in the model

Abstract

We attempt the integration of the phenomenologically successful four zero texture of fermion mass matrices with the renormalizable SO(10) GUT. The resulting scenario is found to be highly predictive. Firstly, we examine the phenomenological implications of a class of the lepton mass matrices with parallel texture structures and obtain interesting constraints on the parameters of the charged lepton and the neutrino mass matrices. We combine these phenomenological constraints with the constraints obtained from SO(10) GUT to reduce the number of the free parameters and to further constrain the allowed ranges of the free parameters. The solar/atmospheric mixing angles obtained in this analysis are in fairly good agreement with the data.