Bi-maximal Lepton Flavor Mixing Matrix and Neutrino Oscillation

Abstract

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.

10 pages, Latex, minor corrections, references added

References in corpus (11)

• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• Bi-Maximal Mixing of Three Neutrinos
• How Uncertain Are Solar Neutrino Predictions?
• Large Leptonic Flavor Mixing and the Mass Spectrum of Leptons
• Super-Kamiokande atmospheric neutrino data, zenith distributions, and three-flavor oscillations
• Bi-Maximal Neutrino Mixing in SO(10)_{GUT}
• Models of Neutrino Masses from Oscillations with Maximal Mixing
• Gauge Model for Maximal Neutrino Mixing
• Textures for Atmospheric and Solar Neutrino Oscillations
• Generalized Neutrino Mixing from the Atmospheric Anomaly
• Neutrino mixing from neutrino oscillation data

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