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The T2K off-axis near detector, ND280, is used to make the first differentialcross section measurements of muon neutrino charged current single positivepion production on a water target at energies ${\sim}0.8$ GeV. The differentialmeasurements are presented as a function of muon and pion kinematics, in therestricted phase-space defined by $p_{\pi^+}>200$MeV/c, $p_{\mu^-}>200$MeV/c,$\cos \theta_{\pi^+}>0.3$ and $\cos \theta_{\mu^-}>0.3$. The total fluxintegrated $\nu_\mu$ charged current single positive pion production crosssection on water in the restricted phase-space is measured to be$\langle\sigma\rangle_\phi=4.25\pm0.48 (\mathrm{stat})\pm1.56(\mathrm{syst})\times10^{-40} \mathrm{cm}^{2}/\mathrm{nucleon}$. The totalcross section is consistent with the NEUT prediction ($5.03\times10^{-40}\mathrm{cm}^{2}/\mathrm{nucleon}$) and 2$\sigma$ lower than the GENIEprediction ($7.68\times10^{-40} \mathrm{cm}^{2}/\mathrm{nucleon}$). Thedifferential cross sections are in good agreement with the NEUT generator. TheGENIE simulation reproduces well the shapes of the distributions, butover-estimates the overall cross section normalization.

First Measurement of the Muon Neutrino Charged Current Single Pion Production Cross Section on Water with the T2K Near Detector