Non-Hermitian Perturbations to the Fritzsch Textures of Lepton and Quark Mass Matrices

TL;DR

This paper demonstrates that non-Hermitian, nearest-neighbor perturbations to Fritzsch textures of lepton and quark mass matrices can align theoretical predictions with experimental data, including neutrino mixing angles and CP violation measures.

Contribution

It introduces a novel approach of applying non-Hermitian perturbations to Fritzsch textures to accurately fit current lepton and quark experimental data.

Findings

Achieves b3_{23} pprox; 45b0 for atmospheric neutrino mixing.

Predicts b3_{13} approx; 3b0 to 6b0 for the smallest neutrino mixing angle.

Finds leptonic CP violation can reach about 1.5 imes 10^{-2} in neutrino oscillations.

Abstract

We show that non-Hermitian and nearest-neighbor-interacting perturbations to the Fritzsch textures of lepton and quark mass matrices can make both of them fit current experimental data very well. In particular, we obtain \theta_{23} \simeq 45^\circ for the atmospheric neutrino mixing angle and predict \theta_{13} \simeq 3^\circ to 6^\circ for the smallest neutrino mixing angle when the perturbations in the lepton sector are at the 20% level. The same level of perturbations is required in the quark sector, where the Jarlskog invariant of CP violation is about 3.7 \times 10^{-5}. In comparison, the strength of leptonic CP violation is possible to reach about 1.5 \times 10^{-2} in neutrino oscillations.