Upper Bound of Proton Lifetime in Product-Group Unification

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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36 pages, including 4 tables and 5 figures, minor corrections

Scientific paper

10.1103/PhysRevD.67.114021

Models of supersymmetric grand unified theories based on SU(5)_GUT \times U(N)_H gauge group (N = 2,3) have a symmetry that guarantees light Higgs doublets and absence of dimension-five proton decay operators. We analysed the proton decay induced by gauge-boson exchange in the models. Upper bounds of proton lifetime are obtained; \tau(p\to \pi^0e^+) \lsim 6.0 \times 10^{33} yrs in the SU(5)_GUT \times U(2)_H model and \tau(p\to \pi^0e^+) \lsim 5.3 \times 10^{35} yrs in the SU(5)_GUT \times U(3)_H model. Various uncertainties in the predictions are also discussed.

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