Fermion Masses from SO(10) Hermitian Matrices

TL;DR

This paper constructs fermion mass matrices within an SO(10) GUT framework using specific scalar multiplets, imposing hermiticity and fitting known quark, lepton, and neutrino data to predict neutrino properties.

Contribution

It introduces a hermitian mass matrix model in SO(10) that fits existing fermion data and predicts neutrino masses and mixing matrices.

Findings

Successfully fits quark and charged lepton masses and CKM matrix

Predicts neutrino masses consistent with experimental data

Provides a constrained model with specific scalar multiplets

Abstract

Masses of fermions in the SO(10) 16-plet are constructed using only the 10, 120 and 126 scalar multiplets. The mass matrices are restricted to be hermitian and the theory is constructed to have certain assumed quark masses, charged lepton masses and CKM matrix in accord with data. The remaining free parameters are found by fitting to light neutrino masses and MSN matrices result as predictions.