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arXiv · hep-ph/9512353

Neutrino oscillations with three-generation mixings and mass hierarchy

Abstract

We have analyzed the results of reactor and accelerator neutrino oscillation experiments in a model with mixing of three neutrino fields and a neutrino mass hierarchy. It is shown that $ ν_μ\leftrightarrows ν_e $ oscillations with $ 0.6 \le Δm^2 \le 100 \, \mathrm{eV}^2 $ and amplitude larger than $ 2 \times 10^{-3} $ are not compatible with the existing limits on neutrino oscillations if the non-diagonal elements of the mixing matrix are small. Thus, if the excess of positron events recently observed in the LSND experiment is due to $ \barν_μ\to \barν_e $ oscillations, the mixing in the lepton sector is basically different from the CKM mixing of quarks.

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S. M. Bilenky, A. Bottino, C. Giunti, C. W. Kim. 1995-12-19. Neutrino oscillations with three-generation mixings and mass hierarchy. https://doi.org/10.1016/0920-5632(96)00237-x

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