Measurement of $ν_μ$ charged-current single $π^{0}$ production on hydrocarbon in the few-GeV region using MINERvA

The semi-exclusive channel $ν_μ+\textrm{CH}\rightarrowμ^{-}π^{0}+\textrm{nucleon(s)}$ is analyzed using MINERvA exposed to the low-energy NuMI $ν_μ$ beam with spectral peak at $E_ν \simeq 3$ GeV. Differential cross sections for muon momentum and production angle, $π^{0}$ kinetic energy and production angle, and for squared four-momentum transfer are reported, and the cross section $σ(E_ν)$ is obtained over the range 1.5 GeV $\leq E_ν <$ 20 GeV. Results are compared to GENIE and NuWro predictions and to published MINERvA cross sections for $ν_μ\textrm{-CC}(π^{+})$ and $\barν_μ\textrm{-CC}(π^{0})$. Disagreements between data and simulation are observed at very low and relatively high values for muon angle and for $Q^2$ that may reflect shortfalls in modeling of interactions on carbon. For $π^{0}$ kinematic distributions however, the data are consistent with the simulation and provide support for generator treatments of pion intranuclear scattering. Using signal-event subsamples that have reconstructed protons as well as $π^{0}$ mesons, the $pπ^{0}$ invariant mass distribution is obtained, and the decay polar and azimuthal angle distributions in the rest frame of the $pπ^{0}$ system are measured in the region of $Δ(1232)^+$ production, $W < 1.4$ GeV.