Abstract

An unstable gravitino with lifetime longer than ${10}^{26}$ sec or so has been proposed as a possible dark matter candidate in supergravity models with R-parity breaking. We find a natural realization of this idea in the minimal supersymmetric left-right models, where left-right symmetry-breaking scale is in the few TeV range. It is known that in these models, R-parity must break in order to have parity breaking as required by low energy weak interactions. The sub-eV neutrino masses imply that R-parity breaking effects in this model must be highly suppressed. This in turn makes the gravitino lightest supersymmetric particle long-lived enough, so that it becomes the dark matter of the Universe. It also allows detectable displaced vertices at the LHC from next-to-lightest supersymmetry particle decays. We present a detailed analysis of the model and some aspects of its rich phenomenology.

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