  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 $Q^2$, has been
reviewed~\cite{Haider:2011qs,Haider:2012nf,Haider:2016zrk,Zaidi:2019mfd,Zaidi:2019asc,Ansari:2020xne}.
  The effect of the nonperturbative corrections such as target mass correction
and higher twist effects, perturbative evolution of the parton densities,
nuclear medium modifications in the nucleon structure functions, 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 like the Fermi
motion, binding energy, nucleon correlations, mesonic contributions, shadowing
and antishadowing corrections relevant in the different regions of $x$ and
$Q^2$ 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.
