TY - JOUR

T1 - Statistical test of anarchy

AU - De Gouvêa, André

AU - Murayama, Hitoshi

N1 - Funding Information:
We thank Paolo Creminelli for very useful questions and discussions, and José Ramon Espinosa for correspondence regarding [13] . The work of A.d.G. is supported by the US Department of Energy Contract DE-AC02-76CHO3000. The work of H.M. is supported in part by the Director, Office of Science, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the US Department of Energy under Contract DE-AC03-76SF00098 and in part by the National Science Foundation under grant PHY-00-98840.

PY - 2003/10/30

Y1 - 2003/10/30

N2 - "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.

AB - "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.

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U2 - 10.1016/j.physletb.2003.08.045

DO - 10.1016/j.physletb.2003.08.045

M3 - Article

AN - SCOPUS:3042522101

VL - 573

SP - 94

EP - 100

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-4

ER -