Neutrino Oscillations in the Framework of Three-Generation Mixings with Mass Hierarchy

Abstract

We have analyzed the results of reactor and accelerator neutrino oscillation experiments in the framework of a general model with mixing of three neutrino fields and a neutrino mass hierarchy that can accommodate the results of the solar neutrino experiments. 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 $\left|U_{e3}\right|$ and $\left|U_{\mu 3}\right|$ are small. Thus, if the excess of electron events recently observed in the LSND experiment is due to ${\nu }_{\mu }\leftrightarrows {\nu }_e$ oscillations, the mixing in the lepton sector is basically different from the CKM mixing of quarks. If this type of mixing is realized in nature, the observation of ${\nu }_{\mu }\leftrightarrows {\nu }_e$ oscillations would not influence ${\nu }_{\mu }\leftrightarrows {\nu }_{\tau }$ oscillations that are being searched for in the CHORUS and NOMAD experiments.

Revtex file, 13 pages + 2 figures (included). The postscript file of text and figures is available at http://www.to.infn.it/teorici/giunti/papers.html or ftp://ftp.to.infn.it/pub/giunti/1995/dftt-25-95/dftt-25-95.ps.Z

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• Cold + Hot Dark Matter Cosmology with $m({\nu }_{\mu })\approx m({\nu }_{\tau })\approx 2.4$ ev
• How Many Solar Neutrino Experiments Are Wrong?
• Neutrinos in Physics and Astrophysics

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