Radiative neutrino mass matrix for three active plus one sterile species

Details Radiative neutrino mass matrix for three active plus one sterile species Radiative neutrino mass matrix for three active plus one sterile species

1998-06-05

arxiv.org/abs/hep-ph/9806272v1

Phys.Rev.D58:071301,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 12 pages including two figures.

Scientific paper

10.1103/PhysRevD.58.071301

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

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