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L/E-Flatness of the Electron-Like Event Ratio in Super-Kamiokande and a Degeneracy in Neutrino Masses

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arxiv hep-ph/9903408 v2 pith:SVCKSQUA submitted 1999-03-19 hep-ph

L/E-Flatness of the Electron-Like Event Ratio in Super-Kamiokande and a Degeneracy in Neutrino Masses

classification hep-ph
keywords matrixneutrinosuper-kamiokandee-flatnesselectron-likeeventmassesmixing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the L/E-flatness of the electron-like event ratio in the Super-Kamiokande atmospheric neutrino data implies the equality of the expectation values for the muon and tau neutrino masses. We establish this result by obtaining a set of three constraints on the neutrino-oscillation mixing matrix as contained in the indicated flatness. The resulting 3x3 neutrino-oscillation matrix depends only on one angle. A remarkable result that follows directly from this matrix is the consistency between the mixing angles observed by LSND and Super-Kamiokande.

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