Simple mass matrices of neutrinos and quarks consistent with observed mixings and masses

TL;DR

This paper introduces a simple, universal symmetry-based mass matrix model for quarks and leptons that accurately reproduces observed mixing angles, mass ratios, and predicts CP violation and neutrino mass.

Contribution

The paper presents a minimalistic mass matrix model with only eight parameters that successfully explains observed quark and lepton mixing and masses, including CP violation predictions.

Findings

Reproduces all observed quark and lepton mixing angles.

Predicts leptonic CP phase of -94 degrees.

Estimates effective Majorana neutrino mass around 0.0073 eV.

Abstract

We propose a simple phenomenological model of quarks-leptons mass matrices having fundamentally universal symmetry structure. These mass matrices consist of democratic and semi-democratic mass matrix terms commonly to the neutrino and the quark sectors and have only eight free parameters. We show that this mass matrix model well reproduces all the observed values of the MNS lepton and the CKM quark mixing angles, the neutrino mass squared difference ratio, and quark mass ratios, with an excellent agreement. The model also predicts $\delta_{CP}^\ell =-94^\circ$ for the leptonic $CP$ violating phase and $\langle m\rangle\simeq 0.0073$ eV for the effective Majorana neutrino mass.