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

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

2007-12-31

arxiv.org/abs/0801.0248v3

Phys.Rev.D78:015019,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 1 figure; v2: errors in anomaly cancellation aspect corrected, conclusions unchanged, references added; v3: reference

Scientific paper

10.1103/PhysRevD.78.015019

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.

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