Three flavor neutrino oscillation analysis of the kamiokande multi-gev atmospheric neutrino data

Abstract

Using the published Kamiokande data of the multi-GeV atmospheric neutrinos, we have searched the optimum set of the neutrino oscillation parameters among three flavors. It is found that ${\chi }^2$ is minimized for ($\Delta m_{21}^2$, $\Delta m_{31}^2$) = (3.8$\times 10^{-2}$eV${}^2$, 1.4$\times 10^{-2}$eV${}^2$), (${\theta }_{12}$, ${\theta }_{13}$, ${\theta }_{23}$) = ($19^{\circ }$,$43^{\circ }$,$41^{\circ }$) with ${\chi }_{\min }$ = 3.2 (42\%CL). The sets of parameters ($\Delta m_{21}^2$, $\Delta m_{31}^2$) = ($\mathcal{O}$($10^{-11}$eV${}^2$) or $\mathcal{O}$($10^{-5}$eV${}^2$), $\mathcal{O}$($10^{-2}$eV${}^2$)) which are suggested by the two flavor analysis fall within 0.7$\sigma$.

Comments: LaTeX, 13 pages + 3 PostScript figures