Nuclear effects in neutrinoproduction of pions

In this paper we study nuclear effects in the neutrinoproduction of pions. We found that in a Bjorken kinematics, for moderate $x_{B}$ accessible in ongoing and forthcoming neutrino experiments the cross-section is dominated by the incoherent contribution; the coherent contribution becomes visible only for small $|t|\lesssim1/R_{A}^{2}$, which requires $x_{B}\lesssim0.1$. Our results could be relevant to the kinematics of the ongoing MINERvA experiment in ME configuration. We provide a code which could be used for evaluation of the $\nu$DVMP observables using different parametrizations of GPDs and different models of nuclear structure.