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

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.