Scenario of light sterile neutrinos with a heavy tau neutrino in a supersymmetric model Original Research Article

Three light sterile neutrinos (νes, νμs and ντs) are introduced to accommodate all the available neutrino data: the atmospheric neutrino anomaly is explained by νμ–νμs oscillation with maximal mixing; the solar one is due to νe–νes oscillation of small angle Mikheyev–Smirnov–Wolfenstein type; the Liquid Scintillation Neutrino Detector data is from νe–νμ oscillations, so that the neutrinos can be the hot component of the dark matter. The big bang nucleosynthesis constraint is satisfied by taking the tau neutrino to be 10 MeV heavy. The ντ decay is discussed in a model of gauge mediated supersymmetry breaking. The decay mode ντ→G̃γ with G̃ being the gravitino is proposed. The ντ has a rather long lifetime ∼103–1013 s. Its implication to the gamma-ray burst is discussed.