A Stable Proton without R-Parity--Implications for the LSP--
arXiv:hep-ph/0605315 · doi:10.1016/j.physletb.2007.01.020
Abstract
The proton decays too rapidly in supersymmetric theories if a dimension-4 operator \bar{5}.10.\bar{5} exists in the superpotential. The conventional idea is to impose the R-parity to kill this operator with a stable lightest supersymmetry particle (LSP) as a direct consequence. However, the SUSY-zero mechanism is also able to kill the operator without an unbroken R-parity. In this article, we provide a firm theoretical justification for the absence of the dimension-4 proton decay operator under the SUSY-zero mechanism, by using some input from string theory. The LSP may be unstable without the R-parity and, indeed, some dimension-5 R-parity violating operators may be generated in effective theories. This suggests that the dark matter is an axion in this string theory inspired model. An insight on the SUSY-zero mechanism is also obtained.
13 pages, including 3 figures
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- Gravitino Dark Matter in R-Parity Breaking Vacua
- Primordial Black Holes as All Dark Matter
- New Aspects of Heterotic--F Theory Duality
- Right-handed Neutrinos in F-theory Compactifications
- Low-scale Supersymmetry from Inflation
- GUT Relations from String Theory Compactifications
- A Theoretical Framework for R-parity Violation