16 research outputs found

    Three Neutrino Δm2\Delta m^2 scales and Singular Seesaw Mechanism

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    It is shown that the singular seesaw mechanism can simultaneously explain all the existing data supporting nonzero neutrino masses and mixing. The three mass-squared differences that are needed to accommodate the atmospheric neutrino data (through νμνs\nu_\mu - \nu_s oscillation), the solar neutrino data via MSW mechanism (through νeντ\nu_e - \nu_\tau oscillation), and the positive result of νμνe\nu_\mu - \nu_e oscillation from LSND can be generated by this mechanism, whereas the vacuum oscillation solution to the solar neutrino problem is disfavored. We find that the electron and tau neutrino masses are of order 10310^{-3} eV, and the muon neutrino and a sterile neutrino are almost maximally mixed to give a mass of order 1 eV. Two heavy sterile neutrinos have a mass of order 1 keV which can be obtained by the double seesaw mechanism with an intermediate mass scale 105\sim 10^5 GeV. A possible origin of such a scale is discussed.Comment: Revtex, 7 pages with 1 epsfig (uuencoded
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