Naturalness of nearly degenerate neutrinos

Details Naturalness of nearly degenerate neutrinos Naturalness of nearly degenerate neutrinos

1999-04-19

arxiv.org/abs/hep-ph/9904395v2

Nucl.Phys. B556 (1999) 3-22

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, LaTeX, 6 ps figures, psfig.sty. Typos, references and minor details corrected. Additional condition for the MSW mech

Scientific paper

10.1016/S0550-3213(99)00383-1

If neutrinos are to play a relevant cosmological role, they must be essentially degenerate. We study whether radiative corrections can or cannot be responsible for the small mass splittings, in agreement with all the available experimental data. We perform an exhaustive exploration of the bimaximal mixing scenario, finding that (i) the vacuum oscillations solution to the solar neutrino problem is always excluded; (ii) if the mass matrix is produced by a see-saw mechanism, there are large regions of the parameter space consistent with the large angle MSW solution, providing a natural origin for the $\Delta m^2_{sol} << \Delta m^2_{atm}$ hierarchy; (iii) the bimaximal structure becomes then stable under radiative corrections. We also provide analytical expressions for the mass splittings and mixing angles and present a particularly simple see-saw ansatz consistent with all observations.

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