Atmospheric and Solar Neutrinos with a Heavy Singlet

S. F. King

doi:10.1016/S0370-2693(98)01055-7

paper

Atmospheric and Solar Neutrinos with a Heavy Singlet

arXiv:hep-ph/9806440 · doi:10.1016/S0370-2693(98)01055-7

Abstract

We follow a minimalistic approach to neutrino masses, by introducing a single heavy singlet $N$ into the standard model (or supersymmetric standard model) with a heavy Majorana mass $M$ , which couples as a single right-handed neutrino in a Dirac fashion to leptons, and induces a single light see-saw mass $m_{ν} \sim 5 \times 1 0^{- 2} e V$ , leaving two neutrinos massless. This trivial extension to the standard model may account for the atomospheric neutrino data via $ν_{μ} \to ν_{τ}$ oscillations with near maximal mixing angle $θ_{23} \sim π /4$ and $Δ m_{μτ}^{2} \sim 2.5 \times 1 0^{- 3} e V^{2}$ . In order to account for the solar neutrino data the model is extended to SUSY GUT/ string-inspired type models which can naturally yield an additional light tau neutrino mass $m_{ν_{τ}} \sim f e w \times 1 0^{- 3} e V$ leading to $ν_{e L} \to (cos θ_{23} ν_{μL} - sin θ_{23} ν_{τ L})$ oscillations with $Δ m_{e 1}^{2} \sim 1 0^{- 5} e V^{2}$ and a mixing angle $sin^{2} 2 θ_{1} \approx 1 0^{- 2}$ in the correct range for the small angle MSW solution to the solar neutrino problem. The model predicts $ν_{e L} \to (sin θ_{23} ν_{μL} + cos θ_{23} ν_{τ L})$ oscillations with a similar angle but a larger splitting $Δ m_{e 2}^{2} \sim 2.5 \times 1 0^{- 3} e V^{2}$ .

10 pages, Latex. Expanded discussion of mixing angles mainly in an Appendix

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Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment

Atmospheric and Solar Neutrinos with a Heavy Singlet

Abstract

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