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

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.

4 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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• Gauge Trimming of Neutrino Masses
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Cited by in corpus (6)

• Chiral Abelian gauge theories with few fermions
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Neutrino Mass Models: circa 2008
• FIMP Dark Matter from Flavon Portals
• SM extension with a gauged flavor $U(1{)}_F$ symmetry
• Minimal Modular Flavor Symmetry and Lepton Textures Near Fixed Points