2002•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Phenomenological study of lepton mass matrix textures

Chun Liu, Jeonghyeon Song

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Abstract

The three active light neutrinos are used to explain neutrino oscillations. The inherently bilarge mixing neutrino mass matrix and the Fritzsch-type, bismall mixing charged lepton mass matrix are assumed. By requiring a maximal ${\ensuremath{\nu}}_{\ensuremath{\mu}}\ensuremath{-}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ mixing for the atmospheric neutrino problem and a mass-squared difference appropriate for the almost maximal mixing solution to the solar neutrino problem, the following quantities are predicted: ${\ensuremath{\nu}}_{e}\ensuremath{-}{\ensuremath{\nu}}_{\ensuremath{\mu}}$ mixing, ${V}_{e3},$ $\mathrm{CP}$ violation in neutrino oscillations, and the effective electron-neutrino mass relevant to neutrinoless double beta decays.

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What this paper is about

The three active light neutrinos are used to explain neutrino oscillations. The inherently bilarge mixing neutrino mass matrix and the Fritzsch-type, bismall mixing charged lepton mass matrix are assumed. By requiring a maximal ${\ensuremath{\nu}}_{\ensuremath{\mu}}\ensuremath{-}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ mixing for the atmospheric neutrino problem and a mass-squared difference appropriate for the almost maximal mixing solution to the solar neutrino problem, the following quantities are predicted: ${\ensuremath{\nu}}_{e}\ensuremath{-}{\ensuremath{\nu}}_{\ensuremath{\mu}}$ mixing, ${V}_{e3},$ $\mathrm{CP}$ violation in neutrino oscillations, and the effective electron-neutrino mass relevant to neutrinoless double beta decays.

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Available abstract

The three active light neutrinos are used to explain neutrino oscillations. The inherently bilarge mixing neutrino mass matrix and the Fritzsch-type, bismall mixing charged lepton mass matrix are assumed. By requiring a maximal ${\ensuremath{\nu}}_{\ensuremath{\mu}}\ensuremath{-}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ mixing for the atmospheric neutrino problem and a mass-squared difference appropriate for the almost maximal mixing solution to the solar neutrino problem, the following quantities are predicted: ${\ensuremath{\nu}}_{e}\ensuremath{-}{\ensuremath{\nu}}_{\ensuremath{\mu}}$ mixing, ${V}_{e3},$ $\mathrm{CP}$ violation in neutrino oscillations, and the effective electron-neutrino mass relevant to neutrinoless double beta decays.

Key concepts: Neutrino, Physics, Particle physics, Mixing (physics), Lepton, Pontecorvo–Maki–Nakagawa–Sakata matrix, Mass matrix, Solar neutrino

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