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We consider effects of the Non-Standard Interactions (NSI) on oscillations ofthe high energy atmospheric neutrinos. The \nu_\mu-oscillograms are constructedand their dependence on the NSI strength parameters \epsilon_{\alpha \beta}studied. We computed zenith angle distributions of the \nu_\mu-events in thepresence of NSI in different energy regions. The distributions are confrontedwith the IceCube-79 (high energy sample) and the DeepCore (low energy sample)data and constraints on the strength parameters |\epsilon_{\mu \tau}| < 6x10^-3and |\epsilon_{\mu\mu}-\epsilon_{\tau\tau}| < 3x10^-2 (90% C.L.) have beenobtained. Future measurements of the zenith angle distributions by DeepCore insmaller energy bins will allow to improve the bounds by factor 2 - 3. Wediscuss the signatures of NSI in zenith angle and energy distributions ofevents which allow to discriminate them from the effects of sterile neutrinos.

Probing Non-Standard Interaction of Neutrinos with IceCube and DeepCore