Unification without low-energy supersymmetry
Abstract
Without supersymmetry, the gauge couplings in the standard model with five Higgs doublets unify around 1014 GeV. In this case, the trinified model, SU(3)C x SU(3)L x SU(3)R x Z3, with the minimal Higgs sector required for symmetry breaking, is the ideal grand-unified candidate. Small neutrino masses are generated via a radiative seesaw mechanism, without the need for intermediate scales, additional Higgs fields, or higher-dimensional operators. The proton lifetime is above the experimental limits, with the decay modes p -> K+ and p -> mu+ K0 potentially observable. The split-SUSY version of the model, with one light Higgs doublet, is equally attractive.
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