A Highly Predictive Ansatz for Leptonic Mixing and CP Violation

TL;DR

This paper proposes a simple, highly predictive model for leptonic mixing and CP violation based on universal Yukawa couplings, predicting the PMNS matrix elements and their correlations with neutrino mass differences.

Contribution

It introduces a novel ansatz linking charged lepton and neutrino mass matrices with a single phase, providing precise predictions for leptonic mixing parameters.

Findings

Predicts $V_{PMNS}$ elements as functions of neutrino mass differences and mixing angles.

Restricts $|V_{PMNS}^{13}|$ to the range 0.167–0.179.

Correlates leptonic CP phase with neutrino mass parameters.

Abstract

We suggest a simple highly predictive ansatz for charged lepton and light neutrino mass matrices, based on the assumption of universality of Yukawa couplings. Using as input the charged lepton masses and light neutrino masses, the six parameters characterizing the leptonic mixing matrix $V_{PMNS}$, are predicted in terms of a single phase $\phi$, which takes a value around $\phi={\frac{\pi}{2}}$. Correlations among variuos physical quantities are obtained, in particular $V^{PMNS}_{13}$ is predicted as a function of ${\Delta}m^2_{21}$, ${\Delta}m^2_{31}$ and $\sin^2(\theta_{sol})$, and restricted to the range $0.167<|V^{PMNS}_{13}|<0.179$.