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arXiv · 1101.4272

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

Harald Fritzsch·Zhi-zhong Xing·Ye-Ling Zhou
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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 θ_{23} \simeq 45^\circ for the atmospheric neutrino mixing angle and predict θ_{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.

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Harald Fritzsch, Zhi-zhong Xing, Ye-Ling Zhou. 2011-02-12. Non-Hermitian Perturbations to the Fritzsch Textures of Lepton and Quark Mass Matrices. https://doi.org/10.1016/j.physletb.2011.02.026

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