Abstract

We show that there exist six parallel textures of the charged lepton and neutrino mass matrices with six vanishing entries, whose phenomenological consequences are exactly the same. These isomeric lepton mass matrices are compatible with current experimental data at the 3σ level. If the seesaw mechanism and the Fukugita–Tanimoto–Yanagida hypothesis are taken into account, it will be possible to fit the experimental data at or below the 2σ level. In particular, the maximal atmospheric neutrino mixing can be reconciled with a strong neutrino mass hierarchy in the seesaw case.

Highlights

  • The recent solar [1], atmospheric [2], KamLAND [3] and K2K [4] neutrino oscillation experiments have provided us with very convincing evidence that neutrinos are massive and lepton flavors are mixed

  • To interpret the observed bi-large lepton flavor mixing pattern, many phenomenological ansatze of lepton mass matrices have been proposed in the literature [6]

  • In which six texture zeros are included 1 and all non-vanishing entries are symbolized by ×’s. It has been shown in Ref. [8] that this ansatz can naturally predict a normal but weak neutrino mass hierarchy and a bi-large lepton flavor mixing pattern

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Summary

Introduction

The recent solar [1], atmospheric [2], KamLAND [3] and K2K [4] neutrino oscillation experiments have provided us with very convincing evidence that neutrinos are massive and lepton flavors are mixed. [8] that this ansatz can naturally predict a normal but weak neutrino mass hierarchy and a bi-large lepton flavor mixing pattern.

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