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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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12 pages, no figures

Scientific paper

10.1016/S0370-2693(98)01418-X

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.

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