Supersymmetry with long-lived staus at the LHC

We consider SUSY extensions of the standard model where the gravitino is the dark-matter particle and the stau is long lived. If there is a significant mass gap with squarks and gluinos, the staus produced at hadron colliders tend to be fast (β > 0.8), and the searches based on their delay in the time of flight or their anomalous ionization become less effective. Such staus would be identified as regular muons with the same linear momentum and a slightly reduced energy. Compared to the usual SUSY models where a neutralino is the LSP, this scenario implies (i) more leptons (the two staus at the end of the decay chains), (ii) a strong e-μ asymmetry, and (iii) less missing ET (just from neutrinos, as the lightest neutralino decays into stau). We study the bounds on this SUSY from current LHC analyses (same-sign dileptons and multilepton events) and discuss the best strategy for its observation.