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arXiv · 2604.15724

Theoretical modeling of charged current $ν_μ(\barν_μ)-^{40}Ar$ DIS at DUNE energies

F. Zaidi·S. Akther·M. Sajjad Athar·S. K. Singh
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Abstract

The charged current $ν_μ(\barν_μ)$-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 ($π$ and $ρ$) contributions, and nuclear shadowing and antishadowing across the relevant Bjorken-$x$ region. The nuclear structure functions $F_{iA}(x,Q^2)$ $(i=1\text{-}3)$ are evaluated using a relativistic nucleon spectral function ($S_h$) within the local density approximation employing the free nucleon structure functions, $F_{iN}(x,Q^2)$ $(i=1\text{-}3)$. These $F_{iN}(x,Q^2)$ $(i=1\text{-}3)$ are calculated using parton distribution functions (PDFs) from MMHT 2014 parameterization, including higher-order perturbative QCD corrections up to next-to-next-to-leading order (NNLO), along with nonperturbative target mass corrections (TMC). The resulting nuclear structure functions $F_{iA}(x,Q^2)$ $(i=1\text{-}3)$ are subsequently used to compute the differential DIS cross sections for $^{40}Ar$ nucleus. Numerical results are presented for $ν_μ(\barν_μ)$ beam energies $E=4$ GeV and $E=6$ GeV for the differential scattering cross sections $\frac{d^2σ}{dx dy}$ and $\frac{dσ}{dx}$, relevant to ongoing and upcoming liquid-argon neutrino experiments such as DUNE and the Fermilab Short-Baseline Neutrino program.

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F. Zaidi, S. Akther, M. Sajjad Athar, S. K. Singh. 2026-04-17. Theoretical modeling of charged current $ν_μ(\barν_μ)-^{40}Ar$ DIS at DUNE energies. https://arxiv.org/abs/2604.15724

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