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

2006 
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{sub 12}{sup 2}=0). No significant flux change due to matter effect, which occurs when neutrinos propagate inside the Earth for {theta}{sub 13}{ne}0, has been seen either in a multi-GeV {nu}{sub e}-rich sample or in a {nu}{sub {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{sup 2}{theta}{sub 13}<0.14 and 0.37
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