Heavy neutrino decays at MiniBooNE

It has been proposed that a sterile neutrino νh with m h ≈ 50 MeV and a dominant decay mode νh → νγ may be the origin of the experimental anomaly observed at LSND. We define a particular model that could also explain the MiniBooNE excess consistently with the data at other neutrino experiments (radiative muon capture at TRIUMF, T2K, or single photon at NOMAD). The key ingredients are (i) its long lifetime (τh ≈ 3−7 × 10−9 s), which introduces a 1/E dependence with the event energy, and (ii) its Dirac nature, which implies a photon preferably emitted opposite to the beam direction and further reduces the event energy at MiniBooNE. We show that these neutrinos are mostly produced through electromagnetic interactions with nuclei, and that T2K observations force BR(νh → ντ γ) ≤ 0.01 ≈ BR(νh → νμγ). The scenario implies then the presence of a second sterile neutrino νh′ which is lighter, longer lived and less mixed with the standard flavors than νh. Since such particle would be copiously produced in air showers through νh → νh′γ decays, we comment on the possible contamination that its photon-mediated elastic interactions with matter could introduce in dark matter experiments.