Naturalness of nearly degenerate neutrinos

J. A. Casas, J. R. Espinosa, A. Ibarra, I. Navarro

Research output: Contribution to journalArticlepeer-review

128 Scopus citations

Abstract

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 △m2sol ≪ △m2atm 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.

Original languageEnglish
Pages (from-to)3-22
Number of pages20
JournalNuclear Physics, Section B
Volume556
Issue number1-2
DOIs
StatePublished - 6 Sep 1999
Externally publishedYes

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