Scenario of Light Sterile Neutrinos with A Heavy Tau Neutrino in A Supersymmetric Model

Abstract

Three light sterile neutrinos (\nu_e^s, \nu_\mu^s and \nu_\tau^s) are introduced to accommodate all the available neutrino data: the atmospheric neutrino anomaly is explained by \nu_\mu-\nu_\mu^s oscillation with maximal mixing; the solar one is due to \nu_e-\nu_e^s oscillation of small angle Mikheyev-Smirnov-Wolfenstein type; the Liquid Scintillation Neutrino Detector data is from \nu_e -\nu_\mu 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 \nu_\tau decay is discussed in a model of gauge mediated supersymmetry breaking. The decay mode \nu_\tau\to\tilde{G}\gamma with \tilde{G} being the gravitino is proposed. The \nu_\tau has a rather long lifetime \sim 10^3-10^{13} sec. Its implication to the Gamma-ray Burst is discussed.