A Realistic Radiative Fermion Mass Hierarchy in Non-supersymmetric SO(10)

TL;DR

This paper presents a non-supersymmetric SO(10) grand unified theory that naturally explains the fermion mass hierarchy through radiative corrections, fitting observed quark and lepton masses and mixings including CP violation.

Contribution

It introduces a predictive model demonstrating how lighter fermion masses arise from loop diagrams within a non-supersymmetric SO(10) framework, with numerical analysis matching experimental data.

Findings

Excellent fit to quark and lepton masses and mixings

Predicted relation between neutrino mixing angles

Successful incorporation of CP violation phase

Abstract

A non-supersymmetric grand unified theory can exhibit a "radiative fermion mass hierarchy", in which the heavier quarks and leptons get mass at tree level and the lighter ones get mass from loop diagrams. Recently the first predictive model of this type was proposed. Here it is analyzed numerically and it is shown to give an excellent fit to the quark and lepton masses and mixings, including the CP phase violating phase $\delta_{CKM}$. A relation between the neutrino angle $\theta_{13}$ and the atmospheric neutrino angle is obtained