We show that the minimal renormalizable supersymmetric SO(10) GUT with the
usual three generations of spinors has a Higgs sector consisting only of a
"light" 10-dimensional and "heavy" 126, 126-bar and 210 supermultiplets. The
theory has only two sets of Yukawa couplings with fifteen real parameters and
ten real parameters in the Higgs superpotential. It accounts correctly for all
the fermion masses and mixings. The theory predicts at low energies the MSSM
with exact R-parity. It is arguably the minimal consistent supersymmetric grand
unified theory.Comment: 4 page
We investigate the properties of a class of supersymmetric SO(10) grand unified models with an intermediate mass scale MR corresponding to the breaking of left-right symmetry. We consider the possibility that the supersymmetry-breaking scale Ms coincides with MR and study the constraints imposed on the value of MR by low-energy parameters such as sin28(Mw) and a,,,,,,(M~) for different plausible scenarios for the mass spectrum of the supermultiplet fields. We find that the allowed values of MR are greater than 10" GeV. If, however, the supersymmetry-breaking scale Ms > MR and Ms is chosen as a free parameter, lower intermediate mass scales are possible. Some implications of our model are noted.
We compute the complete gauge and chiral superheavy mass spectrum and couplings of the Minimal Susy GUT (based on the 210 − 126 − 126 − 10 irreps as the Higgs system) by decomposing SO(10) labels in terms of Pati Salam subgroup labels. The spectra are sensitive functions of the single complex parameter that controls MSGUT symmetry breaking. We scan for the dependence of the threshold corrections to the Weinberg angle and Unification scale as functions of this parameter. We find that for generic values of the GUT scale parameters the modifications are within 10% of the one loop values and can be much smaller for significant regions of the parameter space. This shows that contrary to longstanding conjectures, high precision calculations are not futile but rather necessary and feasible in the MSGUT. The couplings of the matter supermultiplets are made explicit and used to identify the channels for exotic (∆B = 0) processes and to write down the associated bare d = 5 operators (some of both are novel). The mass formulae for all matter fermions are derived. This sets the stage for a comprehensive RG based phenomenological analysis of the MSGUT.
We study the Higgs sector of a SO(10) grand unified theory which predicts exact conservation of R-parity at all scales and incorporates the see-saw mechanism. We find possible intermediate scales and light states compatible with the constraints coming from the running of the gauge couplings. Such a pattern could lower the SO(10) breaking scale, allowing the d = 6 proton decay operators to be comparable in magnitude to the d = 5 ones.
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