Economical doublet-triplet splitting and strong suppression of proton decay in SO(10)

Abstract

We present a new approach to realizing the Dimopoulos-Wilczek mechanism for doublet-triplet splitting in supersymmetric SO(10). The method can be used to achieve strong suppression of proton decay in a straightforward manner and is relatively economical; in particular, the particle spectrum required for its implementation is consistent with the constraints from string compactification at Kac-Moody level two. We construct two examples of realistic models based on this idea. These models have no unwanted flat directions and do not make use of any nonrenormalizable operators to stabilize the vacuum thereby maintaining coupling constant unification as a prediction. The first model is characterized by a simple discrete symmetry that guarantees naturalness at the renormalizable level, while also eliminating all potentially dangerous $R$-parity violating effects. The second model predicts the strong suppression of Higgsino mediated proton decay. In both models, the light minimal supersymmetric standard model doublets emerge from two different 10's so that there is considerable flexibility in constructing realistic fermion masses and CKM angles.