Proton Decay in the Semi-Simple Unification

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Semi-simple unification is one of a model which naturally solves two difficulties in the supersymmetric grand unification theory: doublet-triplet splitting problem and suppression of dimension 5 proton decay. We analyzed the dimension 6 proton decay of this model using perturbative analysis at the next-to-leading order. The life time of proton is 3 × 10³⁴ - 10³⁵ years for wide range of SUSY breaking parameters, and there is an intriguing possibility of observing proton decay signals in the next-generation water Cherenkov detectors such as Hyper-Kamiokande and TITAND. Several uncertainties in this prediction are also discussed.