SUSY resonances from UHE neutralinos in neutrino telescopes and in the sky

In the Top-down scenarios, the decay of super-heavy particles (m ∼ 10 12−16 GeV), situated in dark-matter halos not very far from our Galaxy, can explain the ultra-high-energy (UHE) cosmic-ray spectrum beyond the Griesen-Zatasepin-Kuzmin cut-off. In case the dynamics of this decay is governed by the minimal supersymmetric standard model, a major component of the UHE cosmic-ray flux at PeV-EeV energies could be given by the lightest neutralino � 0 , that is the lightest stable supersymmetric particle. Then, the signal of UHE � 0 ’s on earth might emerge over the interactions of a comparable neutrino component. We compute the event rates for the resonant production of right selectrons (˜eR) and right squarks (˜qR) in mSUGRA, when UHE neutralinos of energy E� > 10 5 GeV scatter off electrons and quarks in an earth-based detector like IceCube. When the resonant channel dominates in the total � 0 e,� 0 q scattering cross section, the only model parameters affecting the corresponding visible signal rates turn out to be the physical masses of the resonant right-scalar and of the lightest neutralino. We compare the expected number of supersymmetric events with the rates corresponding to the expected