The charged current ${\nu }_{\mu }({\overline{\nu }}_{\mu })$-induced deep inelastic scattering (DIS) from an ${}^{40}\mathrm{Ar}$ target is studied using a microscopic framework that incorporates nuclear medium effects due to Fermi motion, binding energy, nucleon correlations, mesonic ($\pi$ and $\rho$) contributions, and nuclear shadowing and antishadowing across the relevant Bjorken-$x$ region. The nuclear structure functions $F_{iA}(x,Q^2)$ $(i=1-3)$ are evaluated using a relativistic nucleon spectral function ($S_h$) within the local density approximation employing the free nucleon structure functions, $F_{iN}(x,Q^2)$ $(i=1-3)$. These $F_{iN}(x,Q^2)$ $(i=1-3)$ are calculated using the parton distribution functions from the MMHT 2014 parametrization, including higher-order perturbative QCD corrections up to the next-to-next-to-leading order, along with the nonperturbative target mass corrections. The resulting nuclear structure functions $F_{iA}(x,Q^2)$ $(i=1-3)$ are subsequently used to compute the differential DIS cross sections for the ${}^{40}\mathrm{Ar}$ nucleus. Numerical results are presented for ${\nu }_{\mu }({\overline{\nu }}_{\mu })$ beam energies $E=4\mathrm{GeV}$ and $E=6\mathrm{GeV}$ for the differential scattering cross sections $\frac{d^2\sigma }{dxdy}$ and $\frac{d\sigma }{dx}$, relevant to the ongoing and upcoming liquid-argon neutrino experiments such as DUNE and the Fermilab short-baseline neutrino program.

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• Deep inelastic scattering
• Inelastic scattering reactions
• Lepton induced nuclear reactions
• Nuclear many-body theory
• Nuclear matter
• Nucleus-neutrino interactions