Three flavor neutrino oscillation analysis of the Superkamiokande atmospheric neutrino data

Abstract

Superkamiokande atmospheric neutrino data for 414 days are analyzed in the framework of three flavor oscillations with mass hierarchy. It is shown that the best fit point is very close to the pure maximal ${\nu }_{\mu }\leftrightarrow {\nu }_{\tau }$ case and $\Delta m^2\simeq 7\times 10^{-3}$ eV${}^2$. The allowed region at 90 %CL is given and the implications to the long baseline experiments are briefly discussed. It is also shown that the threefold maximal mixing model fits to the data of atmospheric neutrinos and the reactor experiments for $\Delta m^2\sim 1\times 10^{-3}$ eV${}^2$.

Comments: 13 pages (uses new.sty which is supplied in the source file), including 29 figures (uses epsfig): contribution to the proceedings of"New Era in Neutrino Physics", Tokyo Metropolitan University,Japan, 11-12 June, 1998