Leptonic Fritzsch Matrices and Neutrino Oscillations

Abstract

It was recently shown by the authors that the Fritzsch ansatz for the quark mass matrices prescribed at the supersymmetric grand unified scale is compatible with a moderately heavy top quark ($m_t \simeq 120-150~GeV$). Here we extend the ansatz to incorporate the charged leptons and the neutrinos. It is found that the $\nu_e-\nu_\mu$ mixing angle is small and consistent with the MSW solution of the solar neutrino puzzle. Furthermore, the model predicts observable $\nu_\mu-\nu_\tau$ oscillations with sin$^22\theta_{\mu \tau} \simeq 0.1$ and $\nu_\tau$ mass in the $(1-3)~eV$ range.