Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-08-10
Phys.Rev. D59 (1999) 037302
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages latex file
Scientific paper
10.1103/PhysRevD.59.037302
A simple extension of the standard model is proposed in which all the three generations of neutrinos are Dirac particles and are naturally light. We then assume that the neutrino mass matrix is diagonal and degenerate, with a few eV mass to solve the dark matter problem. The self energy radiative corrections, however, remove this degeneracy and allow mixing of these neutrinos. The electroweak radiative corrections then predict a lower bound on the $\nu_\mu - \nu_e$ mass difference which solves the solar neutrino problem through MSW mechanism and also predict a lower bound on the $\nu_\tau - \nu_\mu$ mass difference which is just enough to explain the atmospheric neutrino problem as reported by super Kamiokande.
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