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arXiv · 1410.3474

$R$ parity violation from discrete $R$ symmetries

Mu-Chun Chen·Michael Ratz·Volodymyr Takhistov
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Abstract

We consider supersymmetric extensions of the standard model 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. In order to identify suitable symmetries, we develop a novel method of deriving the maximal $\mathbb{Z}_{N}^{(R)}$ symmetry that satisfies a given set of constraints. 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. Finally, we 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 $κ\, L \, H_u$ operator of comparable magnitude.

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Mu-Chun Chen, Michael Ratz, Volodymyr Takhistov. 2015-01-13. $R$ parity violation from discrete $R$ symmetries. https://doi.org/10.1016/j.nuclphysb.2014.12.011

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