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

TL;DR

This paper models charged current deep inelastic scattering of muon neutrinos off iron nuclei using advanced PDFs and nuclear modifications, achieving good agreement with experimental data.

Contribution

It applies the Hirai, Kumano, and Saito model with EPPS16 nuclear PDFs and target mass corrections to improve theoretical predictions of neutrino-nucleus scattering.

Findings

Calculated structure functions and ratios match experimental data.

Incorporated nuclear modifications and target mass corrections.

Provided detailed differential cross section predictions.

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.