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arXiv · 0801.0248

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

Mu-Chun Chen·D. R. Timothy Jones·Arvind Rajaraman·Hai-Bo Yu
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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.

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Mu-Chun Chen, D. R. Timothy Jones, Arvind Rajaraman, Hai-Bo Yu. 2008-06-30. Fermion Mass Hierarchy and Proton Stability from Non-anomalous U(1)_F in SUSY SU(5). https://doi.org/10.1103/physrevd.78.015019

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