Direct comparison of sterile neutrino constraints from cosmological data, [Formula omitted] disappearance data and [Formula omitted] appearance data in a [Formula omitted] model

We present a quantitative, direct comparison of constraints on sterile neutrinos derived from neutrino oscillation experiments and from Planck data, interpreted assuming standard cosmological evolution. We extend a [Formula omitted] model, which is used to compare exclusion contours at the 95% Cl derived from Planck data to those from [Formula omitted]-disappearance measurements, to a [Formula omitted] model. This allows us to compare the Planck constraints with those obtained through [Formula omitted] appearance searches, which are sensitive to more than one active-sterile mixing angle. We find that the cosmological data fully exclude the allowed regions published by the LSND, MiniBooNE and Neutrino-4 collaborations, and those from the gallium and rector anomalies, at the 95% Cl. Compared to the exclusion region from the Daya Bay [Formula omitted]-disappearance search, the Planck data are more strongly excluding above [Formula omitted] and [Formula omitted], with the Daya Bay exclusion being stronger below these values. Compared to the combined Daya Bay/Bugey/MINOS exclusion region on [Formula omitted] appearance, the Planck data is more strongly excluding above [Formula omitted], with the exclusion strengths of the Planck data and the Daya Bay/Bugey/MINOS combination becoming comparable below this value.