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This paper reports the first differential measurement of the charged-currentinteraction cross section of $\nu_{\mu}$ on water with no pions in the finalstate. This flux-averaged measurement has been made using the T2K experiment'soff-axis near detector, and is reported in doubly-differential bins of muonmomentum and angle. The flux-averaged total cross section in a restrictedregion of phase space was found to be $ \sigma= (0.95 \pm 0.08 (\mbox{stat})\pm 0.06 (\mbox{det. syst.}) \pm 0.04(\mbox{model syst.}) \pm{}0.08(\mbox{flux}) ) \times 10^{-38} \mbox{cm}^2$ per n.

First measurement of the $\nu_{\mu}$ charged-current cross section without pions in the final state on a water target