B − L violating interactions in supersymmetric SO(10) models

Abstract

An analysis is given of B − L violating interactions in SO(10) arising from the integration of $10+\bar{10}$ of SU(5) of heavy Higgs. The analysis is done within the well defined missing partner model where the doublet-triplet splitting arises naturally. The Higgs representations of the model consist of two 10-plets, one 120, one 210 plet and a $126+\bar{126}$ representations of SO(10). The SO(10) symmetry is spontaneously broken by the singlet in the $126+\bar{126}$ and 210. In this work we focus on the B−L interactions arising from the elimination of $10+\bar{10}$ plets of SU(5). We compute five field and six field B−L violating operators. The analysis extends previous analyses where B−L violating interactions arising from the elimination of $5+\bar{5}$ and $45+\bar{45}$ were computed. Specifically we compute dimension 6, 7 and 9 operators. These interactions can generate GUT scale baryogengesis, proton decay, and 𝓃-\bar{𝓃} oscillations.