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.
We show that the low energy limit of the minimal supersymmetric LeftRight models is the supersymmetric standard model with an exact R-parity.The theory predicts a number of light Higgs scalars and fermions with masses much below the B − L and SU (2) R breaking scales. The non-renormalizable version of the theory has a striking prediction of light doubly charged supermultiplets which may be accessible to experiment. Whereas in the renormalizable case the scale of parity breaking is undetermined, in the nonrenormalizable one it must be bigger than about 10 10 − 10 12 GeV. The precise nature of the see-saw mechanism differs in the two versions, and has important implications for neutrino masses.
The quark and lepton mass matrices possess approximate flavor symmetries. Several results follow if the interactions of new scalars possess these approximate symmetries. Present experimental bounds allow these exotic scalars to have a weak scale mass. The Glashow-Weinberg criterion is rendered unnecessary. Finally, rare leptonic B meson decays provide powerful probes of these scalars, especially if they are leptoquarks.
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