Se p 19 98 Embedding Phenomenological Quark - Lepton Mass Matrices into SU ( 5 ) Gauge Models

We construct phenomenological quark-lepton mass matrices based on S 3 permutation symmetry in a manner fully compatible with SU(5) grand unification. The Higgs particles we need are 5, 45 and their conjugates. The model gives a charge −1/3 quark vs charged lepton mass relation, and also a good fit to mass-mixing relations for the quark sector, as well as an attractive mixing pattern for the lepton sector, explaining a large mixing angle between ν µ and ν τ , and either large or small ν e − ν µ mixing angle, depending on the choice of couplings, consistent with the currently accepted solutions to the solar neutrino problem.