Searches for sterile neutrinos with IceCube DeepCore

We show that study of the atmospheric neutrinos in the 10--100 GeV energy range by DeepCore subarray of the IceCube Neutrino Observatory can substantially constrain the mixing of sterile neutrinos of mass ~1 eV with active neutrinos. In the scheme with one sterile neutrino we calculate ν_μ and ν_μ oscillation probabilities as well as zenith angle distributions of ν_μCC (charge current) events in different energy intervals in DeepCore. The distributions depend on the mass hierarchy of active neutrinos. Therefore, in principle, the hierarchy can be identified, if νₛ exists. After a few years of exposure the DeepCore data will allow us to exclude the mixing of |U_μ4|²≥0.02 indicated by the LSND/MiniBooNE results. Combination of the DeepCore and high-energy IceCube data will further improve sensitivity to νₛ mixing parameters.