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R parity violation from discrete R symmetries

\(R\) parity violation from discrete \(R\) symmetries
Authors: Chen, Mu-Chun; Ratz, Michael; Takhistov, Volodymyr;

R parity violation from discrete R symmetries

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 $��$ 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

Country
United States
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
Green
gold