
arXiv: 1410.3474
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 $��$ 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 $��$ term and the bilinear $��\, L \, H_u$ operator of comparable magnitude.
v2: references added, minor corrections; matches published version in Nucl. Phys. B
Nuclear and High Energy Physics, 5106 Nuclear and Plasma Physics (for-2020), Particle and Plasma Physics (for), FOS: Physical sciences, QC770-798, Atomic, 530, Particle and Plasma Physics, High Energy Physics - Phenomenology (hep-ph), 4902 Mathematical physics (for-2020), Nuclear and particle physics. Atomic energy. Radioactivity, Unified quantum theories, Supersymmetric field theories in quantum mechanics, 0105 Mathematical Physics (for), Nuclear, 5107 Particle and high energy physics (for-2020), Mathematical Physics, 5107 Particle and High Energy Physics (for-2020), Quantum Physics, 51 Physical Sciences (for-2020), Molecular, Nuclear & Particles Physics (science-metrix), Particle and High Energy Physics, 0206 Quantum Physics (for), Nuclear and Plasma Physics, Nuclear & Particles Physics, Finite-dimensional groups and algebras motivated by physics and their representations, High Energy Physics - Phenomenology, Physical Sciences, 0202 Atomic, Pati-Salam group, ddc: ddc:
Nuclear and High Energy Physics, 5106 Nuclear and Plasma Physics (for-2020), Particle and Plasma Physics (for), FOS: Physical sciences, QC770-798, Atomic, 530, Particle and Plasma Physics, High Energy Physics - Phenomenology (hep-ph), 4902 Mathematical physics (for-2020), Nuclear and particle physics. Atomic energy. Radioactivity, Unified quantum theories, Supersymmetric field theories in quantum mechanics, 0105 Mathematical Physics (for), Nuclear, 5107 Particle and high energy physics (for-2020), Mathematical Physics, 5107 Particle and High Energy Physics (for-2020), Quantum Physics, 51 Physical Sciences (for-2020), Molecular, Nuclear & Particles Physics (science-metrix), Particle and High Energy Physics, 0206 Quantum Physics (for), Nuclear and Plasma Physics, Nuclear & Particles Physics, Finite-dimensional groups and algebras motivated by physics and their representations, High Energy Physics - Phenomenology, Physical Sciences, 0202 Atomic, Pati-Salam group, ddc: ddc:
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