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Cubic kilometer neutrino telescopes are capable of probing fundamentalquestions of ultra-high energy neutrino interactions. There is currently greatinterest in neutrino interactions caused by low-scale, extra dimension models.Above 1 PeV the cross section in low scale gravity models rises well above thetotal Standard Model cross section. We assess the observability of this effectin the 1 PeV - 100 PeV energy range of kilometer-scale detectors with severalnew points of emphasis that hinge on enhanced neutral current cross sections. Amajor point is the importance of ``feed-down'' regeneration of upward neutrinoflux, driven by new-physics neutral current interactions in the flux evolutionequations. Feed-down is far from negligible, and it is essential to include itseffect. We then find that the angular distribution of events has highdiscriminating value in separating models. In particular the ``up-to-down''ratio between upward and downward-moving neutrino fluxes is a practicaldiagnostic tool which can discriminate between models in the near future. Theslope of the angular distribution, in the region of maximum detected flux, isalso substantially different in low-scale gravity and the Standard Model. Theseobservables are only weakly dependent on astrophysical flux uncertainties. Weconclude that angular distributions can reveal a breakdown of the StandardModel and probe the new physics beyond, as soon as data become available.Comment: 25 pages, 6 figures, discussion of calculations expanded, references  adde

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Angular dependence of neutrino flux in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">KM</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>detectors in low scale gravity models

Angular dependence of neutrino flux inKM3detectors in low scale gravity models