Fermion Mass Hierarchy and Proton Stability from Non-anomalous U(1)_F in SUSY SU(5)
arXiv:0801.0248 · doi:10.1103/PhysRevD.78.015019
Abstract
We present a realistic supersymmetric SU(5) model combined with a non-anomalous U(1)_F symmetry. We find a set of U(1)_F charges which automatically lead to the realistic mass hierarchy and mixing patterns for quarks, leptons and neutrinos. All gauge anomalies, including the [U(1)_F]^3 anomaly, are cancelled in our model without invoking the Green-Schwarz mechanism or having exotic fields. Proton decay mediated by dimension 5 operators is automatically suppressed in our model, because the scale set by the largest right-handed neutrino mass is much less than the GUT scale.
arXiv comment4 pages, 1 figure; v2: errors in anomaly cancellation aspect corrected, conclusions unchanged, references added; v3: references added, version to appear in Phys. Rev. D
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