IceCube bounds on sterile neutrinos above 10 eV

We study the capabilities of IceCube to search for sterile neutrinos with masses above 10 eV by analyzing its νμ disappearance atmospheric neutrino sample. We find that IceCube is not only sensitive to the mixing of sterile neutrinos to muon neutrinos, but also to the more elusive mixing with tau neutrinos through matter effects. The currently released 1-year data shows a mild preference, between 0.75 and 3σ depending on the binning and flux adopted, for non-zero sterile mixing. This hint overlaps with the favored region for the sterile neutrino interpretation of the ANITA upward shower although the null results from CHORUS and NOMAD on νμ to ντ oscillations in vacuum exclude this interpretation, while through a different channel and using a different energy range. At the 99% C.L. an upper bound is obtained that improves over the present Super-Kamiokande and DeepCore constraints in some parts of the parameter space. We also investigate the physics reach of the roughly 8 years of data that is already on tape as well as a forecast of 20 years data to probe the present hint or improve upon current constraintsThis work is supported in part by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant agreements 674896-Elusives and 690575-InvisiblesPlus. MB and EFM acknowledge support from the “Spanish Agencia Estatal de Investigación” (AEI) and the EU “Fondo Europeo de Desarrollo Regional” (FEDER) through the project FPA2016-78645-P; and the Spanish MINECO through the “Ramón y Cajal” programme and through the Centro de Excelencia Severo Ochoa Program under Grant SEV-2012-0249. MB also acknowledges support from the Göran Gustafsson foundation. JS acknowledges support by MINECO Grant FPA2016-76005-C2-1-P, Maria de Maetzu program Grant MDM-2014-0367 of ICCUB and research Grant 2017-SGR-92