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The energy--zenith angular event distribution in a neutrino telescopeprovides a unique tool to determine at the same time the neutrino-nucleon crosssection at extreme kinematical regions, and the high energy neutrino flux. Byusing a simple parametrization for fluxes and cross sections, we present asensitivity analysis for the case of a km^3 neutrino telescope. In particular,we consider the specific case of an under-water Mediterranean telescope placedat the NEMO site, although most of our results also apply to an under-icedetector such as IceCube. We determine the sensitivity to departures fromstandard values of the cross sections above 1 PeV which can be probedindependently from an a-priori knowledge of the normalization and energydependence of the flux. We also stress that the capability to tag downgoingneutrino showers in the PeV range against the cosmic ray induced background ofpenetrating muons appears to be a crucial requirement to derive meaningfulconstraints on the cross section.

Disentangling neutrino-nucleon cross section and high energy neutrino flux with a km^3 neutrino telescope