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We present a realistic supersymmetric SU(5) model combined with anon-anomalous U(1)_F symmetry. We find a set of U(1)_F charges whichautomatically lead to the realistic mass hierarchy and mixing patterns forquarks, leptons and neutrinos. All gauge anomalies, including the [U(1)_F]^3anomaly, are cancelled in our model without invoking the Green-Schwarzmechanism or having exotic fields. Proton decay mediated by dimension 5operators is automatically suppressed in our model, because the scale set bythe largest right-handed neutrino mass is much less than the GUT scale.

Fermion Mass Hierarchy and Proton Stability from Non-anomalous U(1)_F in SUSY SU(5)