Ansatz for Quark, Charged Lepton, and Neutrino Masses in SUSY GUTS

Abstract

We extend a fermion mass matrix Ansatz by Giuduce to include neutrino masses. The previous predictions are maintained. With two additional parameters, a large Majorana neutrino mass and a hierarchy factor, we have seven {\it further} low energy predictions: the masses of the neutrinos, the mixing angles and the phase in the leptonic sector. We choose a reasonable hierarchy of Majorana masses and fit the overall mass scale according to a solution of the solar neutrino problem via the MSW mechanism, which is in agreement with the $^{37}Cl$, Kamiokande, and GALLEX data. We then also obtain a cosmologically interesting tau-neutrino mass.