Manifestations of Extra Dimensions in a Neutrino Telescope

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Theories with large extra dimensions provide the possibility that a flavor neutrino, localized in a 3+1 brane, can mix with a singlet neutrino living in the bulk. This mixing leads to unconventional patterns of neutrino matter oscillations and we examine in details how these oscillations depend upon two parameters: the brane-bulk coupling ξ and the effective mass μ of the flavor neutrino inside matter. We find that high energy (E ≥ 50 GeV) νμ neutrinos, to be detected by neutrino telescopes, can give signals of extra dimensions. With a 1 km³ neutrino telescope extra dimensions with radius down to 1μm can be tested directly, while for smaller radius an indirect evidence can be established.