Simple Mass Matrix Ans\"atze for Neutrino Mixing

TL;DR

This paper proposes simple mass matrix textures based on a new lepton flavor symmetry to estimate the PMNS matrix, achieving excellent agreement with experimental neutrino mixing data.

Contribution

It introduces a novel approach using simple mass matrix ans"atze derived from an emergent lepton flavor symmetry to model neutrino mixing.

Findings

PMNS matrix estimated with simple textures matches experimental data

Achieves $|U_{e3}|\simeq 0.16$ consistent with observations

Provides a new framework for understanding neutrino mixing patterns

Abstract

We estimate the PMNS (Pontecorvo-Maki-Nakagawa-Sakata) matrix in terms of neutrino and charged lepton mixing given as $U_{\rm PMNS}=V_{\rm lep}^\dagger(\tilde\theta_{13}) U_\nu(\tilde\theta_{23}, \tilde\theta_{12})$, based on a new (emergent) global lepton flavor symmetry. The neutrino and charged lepton mass matrices have simple textures. The resulting $U_{\rm PMNS}$ gives excellent agreement with experimental data (including $|U_{e3}|\simeq 0.16$).