Simultaneous measurement of muon neutrino ${\nu }_{\mu }$ charged-current single ${\pi }^{+}$ production in CH, C, H${}_2$O, Fe, and Pb targets in MINERvA

Neutrino-induced charged-current single ${\pi }^{+}$ production in the $\mathrm{\Delta }(1232)$ resonance region is of considerable interest to accelerator-based neutrino oscillation experiments. In this work, high statistics differential cross sections are reported for the semi-exclusive reaction ${\nu }_{\mu }A\to {\mu }^{-}{\pi }^{+}+$ nucleon(s) on scintillator, carbon, water, iron, and lead targets recorded by MINERvA using a wide-band ${\nu }_{\mu }$ beam with $<E_{\nu }>\approx 6$~GeV. Suppression of the cross section at low $Q^2$ and enhancement of low $T_{\pi }$ are observed in both light and heavy nuclear targets compared to phenomenological models used in current neutrino interaction generators. The cross-section ratios for iron and lead compared to CH across the kinematic variables probed are 0.8 and 0.5 respectively, a scaling which is also not predicted by current generators.