Weak structure functions in νl−N and νl−A scattering with nonperturbative and higher order perturbative QCD effects

We study the effect of various perturbative and nonperturbative QCD corrections on the free nucleon structure functions [${F}_{iN}^{WI}(x,{Q}^{2});i=1--3$] and their implications in the determination of nuclear structure functions. The evaluation of the nucleon structure functions has been performed by using the MMHT 2014 parton distribution functions (PDFs) parametrization, and the target mass correction (TMC) and higher twist (HT) effects are incorporated following the works of Schienbein et al. and Dasgupta et al., respectively. These nucleon structure functions are taken as input in the determination of nuclear structure functions. The numerical calculations for the ${\ensuremath{\nu}}_{l}/{\overline{\ensuremath{\nu}}}_{l}\text{\ensuremath{-}}A$ deep inelastic scattering (DIS) process have been performed by incorporating the nuclear medium effects like Fermi motion, binding energy, nucleon correlations, mesonic contributions, shadowing, and antishadowing in several nuclear targets such as carbon, polystyrene scintillator, iron, and lead, which are being used in $\mathrm{MINER}\ensuremath{\nu}\mathrm{A}$, and in argon nuclei, which is relevant for the ArgoNeuT and DUNE experiments. The differential scattering cross sections $\frac{{d}^{2}{\ensuremath{\sigma}}_{A}^{WI}}{dxdy}$ and $(\frac{d{\ensuremath{\sigma}}_{A}^{WI}}{dx}/\frac{d{\ensuremath{\sigma}}_{CH}^{WI}}{dx})$ have also been studied in the kinematic region of the $\mathrm{MINER}\ensuremath{\nu}\mathrm{A}$ experiment. The theoretical results are compared with the recent experimental data of $\mathrm{MINER}\ensuremath{\nu}\mathrm{A}$ and the earlier data of the NuTeV, CCFR, CDHSW, and CHORUS Collaborations. Moreover, a comparative analysis of the present results for the ratio $(\frac{d{\ensuremath{\sigma}}_{A}^{WI}}{dx}/\frac{d{\ensuremath{\sigma}}_{CH}^{WI}}{dx})$, and the results from the Monte Carlo (MC) generator GENIE and other phenomenological models of Bodek and Yang, and Cloet et al., has been performed in the context of the $\mathrm{MINER}\ensuremath{\nu}\mathrm{A}$ experiment. The predictions have also been made for the ${\overline{\ensuremath{\nu}}}_{l}\text{\ensuremath{-}}A$ cross section relevant for the $\mathrm{MINER}\ensuremath{\nu}\mathrm{A}$ experiment.