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arXiv · hep-ph/0601040

Minimal Trinification

J. Sayre·S. Wiesenfeldt·S. Willenbrock
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Abstract

We study the trinified model, SU(3)_C x SU(3)_L x SU(3)_R x Z_3, with the minimal Higgs sector required for symmetry breaking. There are five Higgs doublets, and gauge-coupling unification results if all five are at the weak scale, without supersymmetry. The radiative see-saw mechanism yields sub-eV neutrino masses, 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 -> \barνK^+ and p -> μ^+ K^0 potentially observable. We also consider supersymmetric versions of the model, with one or two Higgs doublets at the weak scale. The radiative see-saw mechanism fails with weak-scale supersymmetry due to the nonrenormalization of the superpotential, but operates in the split-SUSY scenario.

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J. Sayre, S. Wiesenfeldt, S. Willenbrock. 2006-01-06. Minimal Trinification. https://doi.org/10.1103/physrevd.73.035013

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