Update on fermion mass models with an anomalous horizontalU(1)symmetry

Abstract

We reconsider models of fermion masses and mixings based on a gauge anomalous horizontal $U(1)$ symmetry. In the simplest model with a single flavon field and horizontal charges of the same sign for all standard model fields, only very few charge assignements are allowed when all experimental data, including neutrino oscillation data, is taken into account. We show that a precise description of the observed fermion masses and mixing angles can easily be obtained by generating sets of the order one parameters left unconstrained by the $U(1)$ symmetry. The corresponding Yukawa matrices show several interesting features which may be important for flavor changing neutral currents and $CP$ violation effects in supersymmetric models.