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Título: | Theoretical constraints on the vacuum oscillation solution to the solar neutrino problem |
Autor: | Casas, Alberto J.; Espinosa, José Ramón CSIC ORCID; Ibarra, Alejandro CSIC ORCID; Navarro, I. | Fecha de publicación: | 1999 | Editor: | Institute of Physics Publishing | Citación: | Journal of High Energy Physics 3: XXV- 12 (1999) | Resumen: | The vacuum oscillation (VO) solution to the solar anomaly requires an extremely small neutrino mass splitting, Δmsol 2 ≲ 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. | URI: | http://hdl.handle.net/10261/100478 | DOI: | 10.1088/1126-6708/1999/09/015 | Identificadores: | doi: 10.1088/1126-6708/1999/09/015 issn: 1029-8479 |
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