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We report in detail on searches for eV-scale sterile neutrinos, in thecontext of a 3+1 model, using eight years of data from the IceCube neutrinotelescope. By analyzing the reconstructed energies and zenith angles of 305,735atmospheric $\nu_\mu$ and $\bar{\nu}_\mu$ events we construct confidenceintervals in two analysis spaces: $\sin^2 (2\theta_{24})$ vs. $\Delta m^2_{41}$under the conservative assumption $\theta_{34}=0$; and $\sin^2(2\theta_{24})$vs. $\sin^2 (2\theta_{34})$ given sufficiently large $\Delta m^2_{41}$ thatfast oscillation features are unresolvable. Detailed discussions of the eventselection, systematic uncertainties, and fitting procedures are presented. Nostrong evidence for sterile neutrinos is found, and the best-fit likelihood isconsistent with the no sterile neutrino hypothesis with a p-value of 8\% in thefirst analysis space and 19\% in the second.

Searching for eV-scale sterile neutrinos with eight years of atmospheric neutrinos at the IceCube neutrino telescope