Abstract
The extended supersymmetric SO(10) model with missing partner mechanism is studied. An intermediate vacuum expectation value is incorporated which corresponds to the see-saw scale. Gauge coupling unification is not broken explicitly. Proton decay is found to satisfy the present experimental limits at the cost of fine-tuning some parameters.
Highlights
See-saw scale is used which is only a small correction to the SO(10) symmetry breaking
The other 126 − 126 need to have large VEVs to keep unification, and to suppress proton decay required by the experimental data
In the SU(5) models, the MPM is realized by introducing a U(1) symmetry to forbid the 5 − 5 to have direct mass term
Summary
In the SU(5) models, the MPM is realized by introducing a U(1) symmetry to forbid the 5 − 5 to have direct mass term. In principle, the MPM of SU(5) can be embedded into SO(10) This needs to include more Higgs in the model and to impose an extra U(1) symmetry to eliminate unwanted bilinear and trilinear couplings from the superpotential, leaving some elements of the mass matrices to be zero. In the type-I see-saw models [27,28,29,30], the right-handed neutrinos need to have masses at the intermediate scale of the order of O(1014)GeV [31,32,33]. In the type-II see-saw models, a weak triplet at the intermediate scale is needed. This intermediate scale, breaks the gauge coupling unification badly since fields at this scale will change dramatically the running behaviors of the coupling constants. The only exceptions are the right-handed neutrinos needed in the type-I see-saw
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