Three Neutrino $Δm^2$ scales and Singular Seesaw Mechanism

Details Three Neutrino $Δm^2$ scales and Singular Seesaw Mechanism Three Neutrino $Δm^2$ scales and Singular Seesaw Mechanism

1998-02-02

arxiv.org/abs/hep-ph/9802209v1

Phys.Rev. D58 (1998) 093003

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex, 7 pages with 1 epsfig (uuencoded)

Scientific paper

10.1103/PhysRevD.58.093003

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 $\nu_\mu - \nu_s$ oscillation), the solar neutrino data via MSW mechanism (through $\nu_e - \nu_\tau$ oscillation), and the positive result of $\nu_\mu - \nu_e$ 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 $10^{-3}$ 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 $\sim 10^5$ GeV. A possible origin of such a scale is discussed.

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