What else can we learn about Dark Matter from Neutrino Telescopes?

Neutrino telescopes are known to provide an indirect way of testing dark matter models. In particular, the flux of neutrinos coming from the annihilation of dark matter in the centre of the Earth and the Sun has been widely studied. We have investigated an alternative way of learning about dark matter with neutrino telescopes. High energy neutrinos coming from astrophysical sources can produce exotic particles via inelastic scattering inside the Earth. If these are charged and long-lived, they can be detected in km(3) Cerenkov detectors such as IceCube. We study such possibility considering two scenarios in which the presence of a long-lived charged particle, namely the lightest stau, is naturally associated to viable supersymmetric dark matter candidates, in particular the neutralino and the gravitino. In both cases, we have calculated the flux of staus at IceCube for different regions of the CMSSM parameter space.