Syndetic Extension of Baryon and Lepton Numbers: Proton Decay and Long-Lived Dark Matter

Abstract

The well-known baryon and lepton numbers of the standard model of quarks and leptons are extended to include new fermions and bosons in a simple structure with several essential features. The usual heavy right-handed neutrino singlets (for neutrino mass and leptogenesis) are related to the axion which solves the strong CP problem. At the same time, baryon number is broken softly, allowing the proton to decay. Associated with this breaking, a long-lived dark-matter candidate (called the pseudo-sakharon) emerges. This new insight connects proton decay to a new component of dark matter.

10 pages, 2 figures

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Cited by in corpus (3)

• Spontaneous proton decay and the origin of Peccei-Quinn symmetry
• Gauge Baryon Number and Dibaryonic Dark Matter
• $B-L$ violating nucleon decays as a probe of leptoquarks and implications for baryogenesis