Threefold maximal lepton mixing and the solar and atmospheric neutrino deficits

Physics

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Leptons, Neutrinos, Solar Neutrinos, Cosmic Rays, Quarks, Symmetry

Scientific paper

Threefold maximal mixing would imply a cyclic permutation symmetry among the generations. The data from solar and atmospheric neutrino experiments are consistent with such mixing, and require a hierarchical spectrum of mass-squared differences for the neutrinos. A fit for the two independent mass-squared differences (excluding only the HOMESTAKE solar neutrino result) yields: Delta(m squared) = (0.72 + or - 0.18) x 10-2e(V squared) and Delta(m' squared) less than 0.9 x 10-11e(V squared) at 90% confidence. In the case that the neutrino mass spectrum is qualitatively similar to that of the charged leptons and quarks, these results can be re-expressed in terms of the neutrino masses as follows: m(3) approx = 85 + or - 10 meV, and m(1), m(2) less than 3(micro)eV at 90% confidence. Implications for future experiments are discussed.

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