Three flavor neutrino oscillation analysis of atmospheric neutrinos in Super-Kamiokande

Abstract

We report on the results of a three-flavor oscillation analysis using Super-Kamiokande~I atmospheric neutrino data, with the assumption of one mass scale dominance ($\Delta m_{12}^2$$=$0). No significant flux change due to matter effect, which occurs when neutrinos propagate inside the Earth for ${\theta }_{13}$$\ne$0, has been seen either in a multi-GeV ${\nu }_e$-rich sample or in a ${\nu }_{\mu }$-rich sample. Both normal and inverted mass hierarchy hypotheses are tested and both are consistent with observation. Using Super-Kamiokande data only, 2-dimensional 90 % confidence allowed regions are obtained: mixing angles are constrained to ${\sin }^2{\theta }_{13}<0.14$ and $0.37<{\sin }^2{\theta }_{23}<0.65$ for the normal mass hierarchy. Weaker constraints, ${\sin }^2{\theta }_{13}<0.27$ and $0.37<{\sin }^2{\theta }_{23}<0.69$, are obtained for the inverted mass hierarchy case.

7 figures, 3 tables

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