Generalized Neutrino Mixing from the Atmospheric Anomaly

Abstract

We determine the neutrino mixing and mass parameters that are allowed by the Super-Kamiokande atmospheric neutrino data in a three-neutrino model with one mass-squared difference contributing to the oscillations. We find that although ${\nu }_{\mu }\to {\nu }_{\tau }$ oscillations are favored, ${\nu }_{\mu }\to {\nu }_e$ oscillations with amplitude as large as 0.18 are allowed even after accounting for the limit from the CHOOZ reactor experiment. The range of allowed parameters permit observable ${\nu }_{\mu }\leftrightarrow {\nu }_e$ and ${\nu }_e\to {\nu }_{\tau }$ oscillations in future long-baseline experiments.

9 pages, Latex2.09, 2 postscript figures embedded using epsf.sty

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