Neutrino Mass Matrix Model with Only Three Adjustable Parameters

TL;DR

This paper proposes a neutrino mass matrix model with only three parameters that successfully predicts neutrino masses, mixings, and CP violation, inspired by a quark mass matrix model with family symmetry.

Contribution

It introduces a minimal three-parameter phenomenological neutrino mass matrix model inspired by quark family symmetry, capable of predicting key neutrino properties.

Findings

Reasonable predictions for neutrino masses

Accurate neutrino mixing angles

Predicted CP violating phases

Abstract

Stimulated by a successful quark mass matrix model based on U(3)$\times$U(3)$'$ family symmetry, a phenomenological neutrino mass matrix for the Majorana neutrinos $(\nu_L, \nu_R^c, N_L, N_R^c)$ is proposed. The model has only three adjustable parameters. Nevertheless, the model gives reasonable predictions for the neutrino masses, mixings, and CP violating phases in the neutrino mixing matrix.