We performed an analysis on the detection of a long-lived slepton at a linear collider with $sqrt{s}=500$ GeV. In GMSB models a long-lived NLSP is predicted for large value of the supersymmetry breaking scale $sqrt{F}$. Furthermore in a large portion of the parameter space this particle is a stau. Such heavy charged particles will leave a track in the tracking volume and hit the muonic detector. In order to disentangle this signal from the muon background, we explore kinematics and particle identification tools: time of flight device, dE/dX and Cerenkov devices. We show that a linear collider will be able to detect long-lived staus with masses up to the kinematical limit of the machine. We also present our estimation of the sensitivity to the stau lifetime.
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