The MiniBooNE anomaly, the decay Ds -> mu+nu and heavy sterile neutrino
Abstract
It has been recently suggested that the anomalous excess of low-energy electron-like events observed by the MiniBooNE experiment, could be explained by the radiative decay of a heavy sterile neutrino nuh of the mass around 500 MeV with a muonic mixing strength in the range |Uμ h|2 (1-4)× 10-3. If such nuh exists its admixtures in the decay Ds -> mu+nu would result in the decay Ds -> mu+nuh with the branching fraction (1.2-5.5)× 10-4, which is in the experimentally accessible range. Interestingly, the existence of the Ds -> mu+nuh decay at this level may also explain why the currently measured decay rate of Ds -> mu+nu is slightly higher than the predicted one. This enhances motivation for a sensitive search for this decay mode and makes it interesting and complementary to neutrino experiments probing sterile-active neutrino mixing. Considering, as an example the CLEO-c experiment, we suggest to perform a search for the decay Ds -> mu+nuh with the analysis of existing data. The discrepancy between the measurements and theoretical description of the decay Ds -> tau+nu is also discussed in brief.