Vector-Like Quarks and Leptons, SU(5) $\otimes$ SU(5) Grand Unification, and Proton Decay

Abstract

SU(5) $\otimes$ SU(5) provides a minimal grand unification scheme for fermions and gauge forces if there are vector-like quarks and leptons in nature. We explore the gauge coupling unification in a non-supersymmetric model of this type, and study its implications for proton decay. The properties of vector-like quarks and intermediate scales that emerge from coupling unification play a central role in suppressing proton decay. We find that in this model, the familiar decay mode $p\to e^{+}{\pi }^0$ may have a partial lifetime within the reach of currently planned experiments.

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• Novel loop-diagrammatic approach to QCD $\theta$ parameter and application to the left-right model
• Proton decay
• Axion model with the $\mathrm{SU}(6)$ unification
• New signals for vector-like down-type quark in $U(1)$ of $E_6$
• The Two Scales of New Physics in Higgs Couplings
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• Split gluon masses in $SU(N)\times SU(M)$ theories