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

Abstract

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.

Journal version

References in corpus (5)

• Evidence for oscillation of atmospheric neutrinos
• Measurement of the solar neutrino energy spectrum using neutrino-electron scattering
• Bi-Maximal Neutrino Mixing in the MSSM with a Single Right-Handed Neutrino
• Models of Neutrino Masses from Oscillations with Maximal Mixing
• Reconciling Super-Kamiokande, LSND, and Homestake neutrino-oscillation data

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