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Radiative neutrino mass matrix for three active plus one sterile species

Naveen Gaur·Ambar Ghosal·Ernest Ma·Probir Roy
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Abstract

A simple unifying mass matrix is presented for the three active and one sterile neutrinos $ν_e$, $ν_μ$, $ν_τ$ and $ν_s$, using an extension of the radiative mechanism proposed some time ago by Zee. The total neutrino-oscillation data are explained by the scheme $ν_e \leftrightarrow ν_s$ (solar), $ν_μ\leftrightarrow ν_τ$ (atmospheric) and $ν_e \leftrightarrow ν_μ$ (LSND). We obtain the interesting approximate relationship $(Δm^2)_{atm} \simeq 2[(Δm^2)_{solar} (Δm^2)_{LSND}]^{1/2}$ which is well satisfied by the data.

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Naveen Gaur, Ambar Ghosal, Ernest Ma, Probir Roy. 1998-06-05. Radiative neutrino mass matrix for three active plus one sterile species. https://doi.org/10.1103/physrevd.58.071301

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