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

An analysis is given of B − L violating interactions in SO(10) arising from the integration of 10 + 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 + 126 ¯ representations of SO(10). The SO(10) symmetry is spontaneously broken by the singlet in the 126 + 126 ¯ and 210. In this work we focus on the B−L interactions arising from the elimination of 10 + 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 + 5 ¯ and 45 + 45 ¯ were computed. Specifically we compute dimension 6, 7 and 9 operators. These interactions can generate GUT scale baryogengesis, proton decay, and n − n ¯ oscillations.