The long-lived stau as a thermal relic

We consider physics beyond the Standard Model in which a long-lived electromagnetically charged massive particle species (CHAMP) appears. We discuss the unique sensitivity the early Universe exhibits on the mere presence and on the decay of such a particle. A CHAMP can be realized in supersymmetric extensions of the Standard Model. We carry out a detailed study of gravitino dark matter scenarios in which the lighter stau is the lightest Standard Model superpartner and thus the CHAMP. Particularly stringent constraints on the gravitino-stau scenario arise from the thermal catalysis of primordial nucleosynthesis reactions. This motivates a thorough investigation of the thermal freeze-out process of the long-lived stau. There, we show that even the most stringent cosmological constraints can potentially be evaded.