Predicting quark and lepton masses and mixings

TL;DR

This paper presents a supersymmetric SO(10) model that successfully predicts quark and lepton masses and mixings, including neutrino oscillation parameters, using a minimal set of parameters.

Contribution

It introduces a new grand unified model that accurately fits observed fermion masses and mixings with only five parameters and a phase.

Findings

Predicts small and comparable $ u_e- u_{ au}$ and $ u_e- u_{ au}$ mixing angles

Predicts a large $ u_{ au}- u_{ au}$ mixing angle

Fits fifteen observables with five parameters and a phase

Abstract

A model is presented that fits the quark and lepton masses and mixings wherein five dimensionless parameters and a phase account for fifteen dimensionless observables. Among these are the Wolfenstein parameters $\rho$ and $\eta$, the $\nu_e-\nu_{\mu}$ and $\nu_e-\nu_{\tau}$ mixing angles which are predicted to be small and comparable while the $\nu_{\mu}-\nu_{\tau}$ mixing angle is predicted to be large. The model is based on supersymmetric SO(10) with the form of the mass matrices motivated by simplicity at the level of grand unification.