Four-Neutrino Mass Spectra and the Super-Kamiokande Atmospheric Up-Down Asymmetry
S. M. Bilenky, C. Giunti, W. Grimus, T. Schwetz
Abstract
In the framework of schemes with mixing of four massive neutrinos, which can accommodate the atmospheric, solar and LSND ranges of Delta m2, we show that, in the whole region of Delta m2LSND allowed by LSND, the Super-Kamiokande up-down asymmetry excludes all mass spectra with a group of three close neutrino masses separated from the fourth mass by the LSND gap of order 1 eV. Only two schemes with mass spectra in which two pairs of close masses are separated by the LSND gap can describe the Super-Kamiokande up-down asymmetry and all other existing neutrino oscillation data.
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