Neutrino oscillations with three-generation mixings and mass hierarchy

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Latex file, 6 pages including 1 figure. The postscript file of text and figures is available at http://www.to.infn.it/teorici/

Scientific paper

10.1016/0920-5632(96)00237-X

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 $ \nu_\mu \leftrightarrows \nu_e $ oscillations with $ 0.6 \le \Delta m^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 $ \bar\nu_\mu \to \bar\nu_e $ oscillations, the mixing in the lepton sector is basically different from the CKM mixing of quarks.

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