A Possible Hermitian Neutrino Mixing Ansatz

TL;DR

This paper proposes a Hermitian neutrino mixing ansatz based on recent data, predicting a specific mixing angle and demonstrating that perturbations from lepton mass hierarchy can align the model with experimental observations.

Contribution

It introduces a symmetric Hermitian mixing matrix ansatz that, with perturbations, fits current neutrino oscillation data effectively.

Findings

Predicts 3=12.2b0

Fits current data with perturbations

Suggests lepton mass hierarchy as origin of mixing structure

Abstract

Using a recent global analysis result after the precise measurement of $\theta_ {13}$, a possible Herimtian neutrino mixing ansatz is discussed, the mixing matrix is symmetric and also symmetric with respect with the second diagonal line in the leading order. This leading order ansatz predicts $\theta_{13}=12.2^\circ$. Next, consider the hierarchy structure of the lepton mass matrix as the origin of perturbation of the mixing matrix, we find that this ansatz with perturbation can fit current data very well.