Proton stability from a fourth family

Abstract

The possibility to violate baryon or lepton number without introducing any new flavor structures, beyond those needed to account for the known fermion masses and mixings, is analyzed. With four generations, but only three colors, this minimality requirement is shown to lead to baryon number conservation, up to negligible dimension-18 operators. In a supersymmetric context, this same minimality principle allows only superpotential terms with an even number of flavored superfields, hence effectively enforces R-parity both within the MSSM and in a GUT context.

Revised and extended. To appear in Phys. Rev. D

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• Dark Matter and Gauged Flavor Symmetries
• Search for baryon-number-violating ${\Xi }_b^0$ oscillations
• Baryon and lepton number intricacies in axion models
• Leptoquarks, axions and the unification of B, L, and Peccei-Quinn symmetries
• EDM with and beyond flavor invariants
• Towards a new paradigm for quark-lepton unification
• Baryonic R-parity violation and its running
• $CP$ violation in heavy-flavour hadrons
• Some aspects of CP violation and gauge interactions in the standard model and beyond