Dark matter and neutrino masses in the R -parity violating NMSSM (original) (raw)

2010, Journal of Physics G: Nuclear and Particle Physics

The R-Parity symmetry Violating (RPV) version of the Next-to-Minimal Supersymmetric Standard Model (NMSSM) is attractive simultaneously with regard to the so-called µ-problem and the accommodation of three-flavor neutrino data at tree level. In this context, we show here that if the Lightest Supersymmetric Particle (LSP) is the gravitino, it can remain a good stable dark matter candidate since its RPV induced decay channels are suppressed by the weak gravitational strength. This conclusion is robust if one considers gravitino masses as large as ∼ 10 2 GeV like in supergravity scenarios, and even if the lightest pseudoscalar Higgs field is as light as ∼ 10 GeV [as may occur in the NMSSM]. Then, for the considered models, the gravitino lifetime exceeds the age of the universe at least by more than one order of magnitude. The cases of a sneutrino LSP or a neutralino LSP as well as gauge-mediated supersymmetry breaking are also discussed. Both the one-flavor simplification hypothesis and the realistic scenario of three neutrino flavors are analyzed.

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