Theoretical constraints on the vacuum oscillation solution to the solar neutrino problem

J. Alberto Casas, Jose Ramon Espinosa, Alejandro Ibarra, Ignacio Navarro

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4 Scopus citations


The vacuum oscillation (VO) solution to the solar anomaly requires an extremely small neutrino mass splitting, Δmsol2 ≲ 10-10 eV2. We study under which circumstances this small splitting (whatever its origin) is or is not spoiled by radiative corrections. The results depend dramatically on the type of neutrino spectrum. If m1 2 ∼ m2 2, ≳ m3 2, radiative corrections always induce too large mass splittings. Moreover, if m1 and m2 have equal signs, the solar mixing angle is driven by the renormalization group evolution to very small values, incompatible with the VO scenario (however, the results could be consistent with the small-angle MSW scenario). If m1 and m2 have opposite signs, the results are analogous, except for some small (though interesting) windows in which the VO solution may be natural with moderate fine-tuning. Finally, for a hierarchical spectrum of neutrinos, m1 2 ≪ m2 2 ≪ m3 2, radiative corrections are not dangerous, and therefore this scenario is the only plausible one for the VO solution.

Original languageEnglish
Pages (from-to)XXV-12
JournalJournal of High Energy Physics
Issue number9
StatePublished - 1999
Externally publishedYes


  • Beyond Standard Model
  • Neutrino Physics


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