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Considering gravitino dark matter scenarios with a long-lived chargedslepton, we show that collider measurements of the slepton mass and itslifetime can probe not only the gravitino mass but also the post-inflationaryreheating temperature TR. In a model independent way, we derive upper limits onTR and discuss them in light of the constraints from the primordial catalysisof lithium-6 through bound-state effects. In the collider-friendly region ofslepton masses below 1 TeV, the obtained conservative estimate of the maximumreheating temperature is about TR=3\times 10^9 GeV for the limiting case of asmall gluino-slepton mass splitting and about TR=10^8 GeV for the case that istypical for universal soft supersymmetry breaking parameters at the scale ofgrand unification. We find that a determination of the gluino-slepton massratio at the Large Hadron Collider will test the possibility of TR>10^9 GeV andthereby the viability of thermal leptogenesis with hierarchical heavyright-handed Majorana neutrinos.

Probing the Reheating Temperature at Colliders and with Primordial Nucleosynthesis