Nearly degenerate neutrinos, Supersymmetry and radiative corrections

Details Nearly degenerate neutrinos, Supersymmetry and radiative corrections Nearly degenerate neutrinos, Supersymmetry and radiative corrections

1999-05-18

arxiv.org/abs/hep-ph/9905381v1

Nucl.Phys. B569 (2000) 82-106

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, 12 Postscript figures, uses psfig.sty

Scientific paper

10.1016/S0550-3213(99)00605-7

If neutrinos are to play a relevant cosmological role, they must be essentially degenerate with a mass matrix of the bimaximal mixing type. We study this scenario in the MSSM framework, finding that if neutrino masses are produced by a see-saw mechanism, the radiative corrections give rise to mass splittings and mixing angles that can accommodate the atmospheric and the (large angle MSW) solar neutrino oscillations. This provides a natural origin for the $\Delta m^2_{sol} << \Delta m^2_{atm}$ hierarchy. On the other hand, the vacuum oscillation solution to the solar neutrino problem is always excluded. We discuss also in the SUSY scenario other possible effects of radiative corrections involving the new neutrino Yukawa couplings, including implications for triviality limits on the Majorana mass, the infrared fixed point value of the top Yukawa coupling, and gauge coupling and bottom-tau unification.

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