Abstract
A simple model to accomodate light sterile neutrinos naturally with large mixing with the usual neutrinos has been proposed. The standard model gauge group is extended to include an $SU(2)_S$ gauge symmetry. Heavy triplet higgs scalars give small masses to the left-handed neutrinos, while a heavy doublet higgs scalar give mixing with the sterile neutrinos of the same order of magnitude. The neutrino mass matrix thus obtained can explain the solar neutrino deficit, the atmospheric neutrino deficit, the LSND data and hot dark matter. Lepton number is violated here through decays of the heavy triplet higgs, which generates the lepton asymmetry of the universe, which in turn generates a baryon asymmetry of the universe.
Highlights
A simple model to accomodate light sterile neutrinos naturally with large mixing with the usual neutrinos has been proposed
The Super Kamiokande [1] announced a positive evidence of neutrino oscillations. They attribute the νμ deficit in the atmospheric neutrino to a νμ oscillating into a νatm, where νatm could be a ντ or a sterile neutrinos with ∆m2atmos = m2νμ − m2atm ∼ (0.5 − 6) × 10−3eV2
We propose a new scenario with an SU(2) symmetry, which can provide a naturally light sterile neutrino with large mixing with the other left-handed neutrinos
Summary
A simple model to accomodate light sterile neutrinos naturally with large mixing with the usual neutrinos has been proposed. The solar neutrino deficit can be explained if one considers νe → νsol oscillations (where νsol could be νμ or ντ or a sterile neutrino) with the mass squared difference [2] We work in an extension of the standard model which includes a couple of heavy triplet higgs scalars [11, 10], whose couplings violate lepton number explicitly at a very high scale, which in turn gives small neutrino masses naturally.
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