Simple neutrino mass matrix with only two free parameters

TL;DR

This paper proposes a simple two-parameter neutrino mass matrix model that successfully reproduces observed lepton mixing angles, neutrino mass differences, and predicts CP violation and neutrinoless double beta decay parameters.

Contribution

A phenomenological neutrino mass matrix with only two free parameters that fits all current experimental data and makes specific predictions.

Findings

Reproduces all observed lepton mixing angles.

Matches the neutrino mass squared difference ratio.

Predicts a CP phase of 155° and an effective neutrino mass of 6.3×10⁻³ eV.

Abstract

A simple form of neutrino mass matrix which has only two free parameters is proposed from a phenomenological point of view. Using this mass matrix, we succeed to reproduce all the observed values for the MNS lepton mixing angles and the neutrino mass squared difference ratio. Our model also predicts $\delta_{\nu}= 155^\circ$ for the Dirac CP violating phase in the lepton sector and the effective neutrino mass $\langle m \rangle=6.3\times 10^{-3}$ eV in the neutrinoless double beta decay.