Bi-maximal Lepton Flavor Mixing Matrix and Neutrino Oscillation

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, Latex, minor corrections, references added

Scientific paper

10.1103/PhysRevD.59.091302

Recently, many authors showed that if the solar and atmospheric neutrino data are both described by maximal mixing vacuum oscillations at the relevant mass scale, then there exists a unique bi-maximal lepton mixing matrix for three neutrino flavors. We construct the lepton mass matrices from the symmetry principle so that maximal mixings for the atmospheric and the solar neutrino vacuum oscillations are naturally generated. Although the hierarchical patterns of the lepton sector are quite different from each other, we show how two different mass matrices suggested in this work can be generated in a unified way. We also give comments on possible future tests of the bi-maximal lepton mixing matrix.

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