Implications of CHOOZ results for the decoupling of solar and atmospheric neutrino oscillations

Abstract

We have considered the results of solar and atmospheric neutrino oscillation experiments in the scheme of mixing of three neutrinos with a mass hierarchy. It is shown that the recent results of the CHOOZ experiment imply that |U_{e3}|^2<<1 (U is the neutrino mixing matrix), that the oscillations of solar neutrinos are described by the two-generation formalism and that the oscillations of solar and atmospheric neutrinos decouple. It is also shown that if not only |U_{e3}|^2<<1 but also |U_{e3}|<<1, then the oscillations of atmospheric neutrinos do not depend on matter effects and are described by the two-generation formalism. In this case, with an appropriate identification of the mixing parameters, the two-generation analyses of solar and atmospheric neutrino data provide direct information on the mixing parameters of three neutrinos. We discuss the possibility to get information on |U_{e3}|^2 in long-baseline neutrino oscillation experiments.

12 pages, no figures

References in corpus (8)

• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• Solutions to Solar Neutrino Anomaly
• Update on Atmospheric Neutrinos
• Atmospheric neutrino oscillations with three neutrinos and a mass hierarchy
• The solar neutrino problem after three hundred days of data at SuperKamiokande
• Three flavor implications of CHOOZ result
• Neutrino oscillation constraints on neutrinoless double beta decay
• Zenith distribution of atmospheric neutrino events and electron neutrino mixing

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