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

E. J. Chun·C. W. Kim·U. W. Lee
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Abstract

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 $ν_μ- ν_s$ oscillation), the solar neutrino data via MSW mechanism (through $ν_e - ν_τ$ oscillation), and the positive result of $ν_μ- ν_e$ 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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E. J. Chun, C. W. Kim, U. W. Lee. 1998-02-02. Three Neutrino $Δm^2$ scales and Singular Seesaw Mechanism. https://doi.org/10.1103/physrevd.58.093003

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