Quark and Lepton Mass Matrices from Horizontal U(1) Symmetry

Abstract

In the simplest model of horizontal U(1) symmetry with one singlet added to the supersymmetric standard model, we systematically reconstruct quark mass matrices from the low-energy data to prove that there are only two mass matrices found by Binetruy et.~al.. The same U(1) symmetry constrains the hierarchical structure of L-violating couplings, from which we build radiative neutrino mass matrices accommodating the solar and hot dark matter neutrino masses and mixing. We find a few patterns of acceptable charged lepton and neutrino mass matrices, most of which are consistent with large $\tan \beta \simeq m_t/m_b$ only.

Comments: 15 pages, latex, no figures, version to appear in PLB