Supersymmetric mass spectra for gravitino dark matter with a high reheating temperature

Supersymmetric theories with gravitino dark matter generally do not allow the high reheating temperature required by thermal leptogenesis without running afoul of relic abundance or big bang nucleosynthesis constraints. We report on a search for parameter space that satisfies these requirements with neutralino as the next-to-lightest superpartner. The main implication is the near degeneracy of the gluino with the other neutralinos in the spectrum. The leading discovery channel at the LHC for this scenario is through monojet plus missing energy events.