Abstract
In this paper, we study charged current deep inelastic scattering of muon neutrinos off ^{56}Fe nuclei using 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 using EPPS16 parameterization 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 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 of muon neutrino deep inelastic scattering off a nucleon and ^{56}Fe nuclei. We compare the obtained results with measured experimental data. The present theoretical approach gives a good description of data.
Highlights
In the standard model of physics, neutrinos are elementary particles with no electric charge, no magnetic moment, halfintegral spin, and zero mass
The present theoretical approach gives a good description of data
The black solid lines show the calculations with the inclusion of shadowing effect, the red dashed lines show the calculations without the inclusion of shadowing effect, and the pink dotted lines show the calculations with the inclusion of shadowing effect and target-mass correction
Summary
In the standard model of physics, neutrinos are elementary particles with no electric charge, no magnetic moment, halfintegral spin, and zero mass. Several experiments planned worldwide, such as NuTeV [16], CHORUS [17], NOMAD [18], MINOS [19], MINERvA [20], etc., have analyzed neutrino deep-inelastic scattering off different targets to measure differential and integrated cross sections and structure functions. A review of the results from various experiments probing neutrino deep-inelastic scattering in presented in Ref. PDFs are derived from fitting DIS and related hard-scattering data by using parametrization at low Q20 [1–7 (GeV/c)2] and evolving these to higher Q2. These PDFs are presented as grids in x-Q2 with codes given by PDF authors.
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