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Decoherence in supernova neutrino transformations suppressed by deleptonization

AuthorsEsteban-Pretel, Andreu ; Pastor, Sergio ; Tomàs, Ricard ; Raffelt, Georg G.; Sigl, Günter
KeywordsEarly Universe
[PACS] Neutrino mass and mixing
[PACS] Supernovae
Issue Date19-Dec-2007
PublisherAmerican Physical Society
CitationPhysical Review D 76(12): 125018 (2007)
AbstractIn the dense-neutrino region at 50-400 km above the neutrino sphere in a supernova, neutrino-neutrino interactions cause large flavor transformations. We study when the multiangle nature of the neutrino trajectories leads to flavor decoherence between different angular modes. We consider a two-flavor mixing scenario between nu(e) and another flavor nu(x) and assume the usual hierarchy F-nu e > F-[overline nu][sub e] > F-nu x = F-[overline nu][sub x] for the number fluxes. We define epsilon = (F-nu e - F-[overline nu][sub e])/(F-[overline nu][sub e] - F-[overline nu][sub x]) as a measure for the deleptonization flux which is the one crucial parameter. The transition between the quasi-single-angle behavior and multiangle decoherence is abrupt as a function of epsilon. For typical choices of other parameters, multiangle decoherence is suppressed for epsilon greater than or similar to 0.3, but a much smaller asymmetry suffices if the neutrino mass hierarchy is normal and the mixing angle small. The critical epsilon depends logarithmically on the neutrino luminosity. In a realistic supernova scenario, the deleptonization flux is probably enough to suppress multiangle decoherence.
Description16 pages, 12 figures.-- PACS nrs.: 14.60.Pq; 97.60.Bw.-- ISI Article Identifier: 000251987300100.-- ArXiv pre-print available at: http://arxiv.org/abs/0706.2498
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevD.76.125018
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