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The presence of high reheating temperatures in the thermal history of theuniverse challenges supersymmetric scenarios owing to the gravitino problem. Werevise a general R-parity conserving gravitino dark matter scenario with a stauas the next-to-lightest superparticle being particularly constrained bysearches for heavy stable charged particles at the LHC. Imposing a variety ofexperimental and theoretical constraints we show that points with T_R > 10^9GeV survive only in a very particular corner of parameter space.

Gravitino DM and high reheating temperatures after LHC 7/8