SU(5) Unification without Proton Decay

Abstract

We construct a four-dimensional SU(5) grand unified theory in which the proton is stable. The Standard Model leptons reside in the 5 and 10 irreps of SU(5), whereas the quarks live in the 40 and 50 irreps. The SU(5) gauge symmetry is broken by the vacuum expectation values of the scalar 24 and 75 irreps. All non-Standard Model fields are heavy. Stability of the proton requires three relations between the parameters of the model to hold. However, abandoning the requirement of absolute proton stability, the model fulfills current experimental constraints without fine-tuning.

5 pages; v2: accepted by Physical Review Letters

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• Minimal SU(5) Asymptotic Grand Unification
• FAKE GUT
• A BRST view of the spontaneous symmetry breaking
• Grand Unified Theory with a Stable Proton
• More on Fake GUT
• Compositeness, Bargmann-Wigner solutions within a U(1)-interaction quantum-field-theory expansion, and charge
• Paths to proton stability in grand unification