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In this paper, we study charged current deep inelastic scattering of muonneutrinos off ^{56}Fe nuclei using Hirai, Kumano and Saito model. The LHAParton Distribution Functions (PDFs) - CT10 are used to describe the partoniccontent of hadrons. Modification of PDFs inside the nuclei is done using EPPS16parameterization at next-to-leading order. Target mass correction has also beenincorporated in the calculations. We calculate the structure functions(F_{2}(x,Q^{2}) and xF_{3}(x,Q^{2})), the ratios (R_{2}(x,Q^{2}) =\frac{F^{^{56}Fe}_{2}}{F^{Nucleon}_{2}} and R_{3}(x,Q^{2}) =\frac{F^{^{56}Fe}_{3}}{F^{Nucleon}_{3}}) and the differential cross sections ofmuon neutrino deep inelastic scattering off a nucleon and ^{56}Fe nuclei. Wecompare the obtained results with measured experimental data. The presenttheoretical approach gives a good description of data.

Charged current deep inelastic scattering of muon neutrinos off ^{56}Fe