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MINERvA has measured the $\nu_{\mu}$-induced coherent $\pi^{+}$ cross sectionsimultaneously in hydrocarbon (CH), graphite (C), iron (Fe) and lead (Pb)targets using neutrinos from 2 to 20 GeV. The measurements exceed thepredictions of the Rein-Sehgal and Berger-Sehgal PCAC based models at multi-GeV$\nu_{\mu}$ energies and at produced $\pi^{+}$ energies and angles, $E_{\pi}>1$GeV and $\theta_{\pi}<10^{\circ}$. Measurements of the cross-section ratios ofFe and Pb relative to CH reveal the effective $A$-scaling to increase from anapproximate $A^{1/3}$ scaling at few GeV to an $A^{2/3}$ scaling for$E_{\nu}>10$ GeV.

Neutrino-induced coherent $\pi^{+}$ production in C, CH, Fe and Pb at $\langle E_{\nu}\rangle \sim 6$ GeV