Peak loops untying the degeneracy of the neutrino parameters

dc.creatorKoike, Masafumi
dc.creatorSaito, Masako
dc.date2007-03-05
dc.date.accessioned2026-07-07T10:37:56Z
dc.date.available2026-07-07T10:37:56Z
dc.descriptionSystematic analysis of the determination of the value of leptonic CP-violating angle delta and the neutrino mass hierarchy sgn(delta m^2_31) by long baseline neutrino oscillation experiments is presented. We note the difficulty to distinguish a pair of oscillation probability spectra that are peaked at the same energy and have the same probability at that energy. We thereby set forth the peak-matching condition as a criterion of the presence of degeneracy, and visualize it by intersections of the trajectories drawn by a peak of an oscillation spectrum while the value of delta is varied from 0 to 2pi. We numerically calculate the pairs of the trajectories for both hierarchies and show that the pair becomes disjoint as the baseline gets longer than a critical length, indicating the matter effect resolving the degeneracy on the hierarchy. We formulate the trajectories into analytic expressions and evaluate the critical length. We provide prospects of the following four approaches of resolving the hierarchy: making the baseline longer than the critical length, using both neutrinos and anti-neutrinos, combining experiments with different baseline lengths, and observing two or more oscillation peaks.
dc.descriptionReVTeX4, 9 pages, 6 Figures. Prepared for the proceedings of "International Workshop on Neutrino Masses and Mixings -- Toward Unified Understanding of Quark and Lepton Mass Matrices --" at University of Shizuoka on December 17-19, 2006
dc.identifierhttps://arxiv.org/abs/hep-ph/0703053
dc.identifierhttp://arxiv.org/abs/hep-ph/0703053
dc.identifierInt.J.Mod.Phys.E16:1301-1312,2007
dc.identifierdoi:10.1142/S021830130700668X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180545
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePeak loops untying the degeneracy of the neutrino parameters
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