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Home > Physical Review C (APS) > Charged-current deep-inelastic scattering of muon neutrinos (<math><msub><mi>ν</mi><mi>μ</mi></msub></math>) off <math><mmultiscripts><mi>Fe</mi><mprescripts></mprescripts><none></none><mn>56</mn></mmultiscripts></math> |

Grover, Deepika (Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221005, India) ; Saraswat, Kapil (Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221005, India) ; Shukla, Prashant (Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India) (Homi Bhabha National Institute, Anushakti Nagar, Mumbai 400094, India) ; Singh, Venktesh (Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221005, India)

13 December 2018

**Abstract: **In this paper, we study charged-current deep-inelastic scattering of muon neutrinos off ${}^{56}\mathrm{Fe}$ nuclei by using the Hirai, Kumano, and Saito model. The LHA parton distribution functions (PDFs) - CT10 are used to describe the partonic content of hadrons. Modification of PDFs inside the nuclei is done by using EPPS16 parametrization at next-to-leading order. Target mass correction has also been incorporated in the calculations. We calculate the structure functions $[{F}_{2}(x,{Q}^{2})$ and $x{F}_{3}(x,{Q}^{2})]$, the ratios $[{R}_{2}(x,{Q}^{2})={F}_{2}^{{}^{56}\mathrm{Fe}}/{F}_{2}^{\text{Nucleon}}$ and ${R}_{3}(x,{Q}^{2})={F}_{3}^{{}^{56}\mathrm{Fe}}/{F}_{3}^{\text{Nucleon}}]$, and the differential cross sections of ${\nu}_{\mu}$ deep-inelastic scattering off nucleons and ${}^{56}\mathrm{Fe}$ nuclei. We compare the results obtained with measured experimental data. The present theoretical approach gives a good description of data.

**Published in: ****Physical Review C 98 (2018)**
**Published by: **APS

**DOI: **10.1103/PhysRevC.98.065503

**arXiv: **1808.00287

**License: **CC-BY-4.0