The present status of the field theoretical model studies of the deep inelastic scattering induced by (anti)neutrino on the nuclear targets in a wide range of Bjorken variable x and four momentum transfer square Q2\documentclass[12pt]{minimal}
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\begin{document}$$Q^2$$\end{document} has been reviewed (Haider et al. in Phys Rev C 84:054610, 2011, Phys Rev C 85:155201, 2012, Nucl Phys A 955:58, 2016; Zaidi et al. in Phys Rev D 99:093011, 2019, Phys Rev D 101:033001, 2020; Ansari et al. in Phys Rev D 102:113007, 2020). The effect of the nonperturbative corrections such as target mass corrections and dynamical higher twist effects, perturbative evolution of the parton densities, nuclear medium modifications in the nucleon structure functions, and nuclear isoscalarity corrections on the weak nuclear structure functions have been discussed. These structure functions have been used to obtain the differential scattering cross-sections. The various nuclear medium effects such as the Fermi motion, binding energy, nucleon correlations, mesonic contributions, shadowing and antishadowing corrections relevant in the different regions of x and Q2\documentclass[12pt]{minimal}
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\begin{document}$$Q^2$$\end{document} have been discussed. The numerical results for the structure functions and the cross-sections are compared with some of the available experimental data including the recent results from MINERvA. The predictions are made in argon nuclear target which is planned to be used as a target material in DUNE at the Fermilab.