2003/01/31 by André de Gouvêa, Andre de Gouvea, Hitoshi Murayama · 3 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1016/j.physletb.2003.08.045
published as Phys.Lett.B573:94-100,2003 · 5 pages, 2 figures. Improved criteria for testing the hypothesis and deriving lower limits on theta_{13}
arxiv created 2003/06/30 · openalex publication_date 2003/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
“Anarchy” is the hypothesis that there is no fundamental distinction among the three flavors of neutrinos. It describes the mixing angles as random variables, drawn from well-defined probability distributions dictated by the group Haar measure. We perform a Kolmogorov–Smirnov (KS) statistical test to verify whether anarchy is consistent with all neutrino data, including the new result presented by KamLAND. We find a KS probability for Nature's choice of mixing angles equal to 64%, quite consistent with the anarchical hypothesis. In turn, assuming that anarchy is indeed correct, we compute lower bounds on |Ue3|2, the remaining unknown “angle” of the leptonic mixing matrix.