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Gravitino dark matter, together with thermal leptogenesis, implies an upperbound on the masses of superparticles. In the case of broken R-parity theconstraints from primordial nucleosynthesis are naturally satisfied anddecaying gravitinos lead to characteristic signatures in high energy cosmicrays. We analyse the implications for supergravity models with universalboundary conditions at the grand unification scale. Together with low-energyobservables one obtains a window of superparticle masses, which will soon beprobed at the LHC, and a range of allowed reheating temperatures.

Superparticle Mass Window from Leptogenesis and Decaying Gravitino Dark Matter