Volodymyr Takhistov (University of California, Irvine)
With LHC not observing superpartners, minimal supersymmetric versions of the Standard Model (SM) are very constrained. We consider supersymmetric extensions of the SM in which the usual R or matter parity gets replaced by another R or non–R discrete symmetry that explains the observed longevity of the nucleon and solves the µ problem of MSSM. Such R-parity violating scenarios may lead to interesting phenomenology and explain why superpartners have not been observed yet. In order to identify suitable symmetries, we develop a novel method of deriving the maximal Abelian Z(R)N symmetry that satisfies a given set of constraints (such as those from anomaly freedom and phenomenology). We identify R parity violating (RPV) and conserving models that are consistent with precision gauge unification and also comment on their compatibility with a unified gauge symmetry such as the Pati–Salam group. We shall also provide a counter– example to the statement found in the recent literature that the lepton number violating RPV scenarios must have µ term and the bilinear κ L Hu operator of comparable magnitude. Finally, we will briefly comment on how baryogenesis and certain baryon number violating processes may arise within such simple models.