Measurement of atmospheric neutrino oscillation parameters by Super-Kamiokande I

We present a combined analysis of fully-contained, partially-contained and upward-going muon atmospheric neutrino data from a 1489 d exposure of the Super-Kamiokande detector. The data samples span roughly five decades in neutrino energy, from 100 MeV to 10 TeV. A detailed Monte Carlo comparison is described and presented. The data is fit to the Monte Carlo expectation, and is found to be consistent with neutrino oscillations of ${\nu }_{\mu }\leftrightarrow {\nu }_{\tau }$ with ${sin}^{2}2\theta >0.92$ and $1.5\times {10}^{-3}<\Delta m^2<3.4\times {10}^{-3}{\mathrm{eV}}^2$ at 90% confidence level.