Measurement of $\nu_\mu$-induced charged-current neutral pion production cross sections on mineral oil at $E_\nu\in0.5-2.0$ GeV

Using a custom 3 \v{C}erenkov-ring fitter, we report cross sections for $\nu_\mu$-induced charged-current single $\pi^0$ production on mineral oil (\chtwo) from a sample of 5810 candidate events with 57% signal purity over an energy range of $0.5-2.0$GeV. This includes measurements of the absolute total cross section as a function of neutrino energy, and flux-averaged differential cross sections measured in terms of $Q^2$, $\mu^-$ kinematics, and $\pi^0$ kinematics. The sample yields a flux-averaged total cross section of $(9.2\pm0.3_{stat.}\pm1.5_{syst.})\times10^{-39}$cm$^2$/CH$_2$ at mean neutrino energy of 0.965GeV.