# QCD analysis of structure functions in deep inelastic neutrino-nucleon scattering without using the orthogonal polynomials approach

## TL;DR

This paper performs a detailed QCD analysis of neutrino-nucleon deep inelastic scattering data to extract valence quark distributions and the strong coupling constant, incorporating nuclear and higher twist effects at NLO and NNLO.

## Contribution

It introduces a comprehensive QCD analysis without using orthogonal polynomials, extracting valence PDFs and alpha_s with uncertainties, and compares results with other PDF sets and models.

## Key findings

- Valence quark distributions with uncertainties are extracted.
- The strong coupling constant is determined as alpha_s(M_Z^2)=0.1199±0.0031 (NLO) and 0.1185±0.0023 (NNLO).
- Results agree well with theoretical models and other PDF sets.

## Abstract

A nonsinglet QCD analysis of neutrino-nucleon structure function is performed based on all the data for charged current neutrino-nucleon deep inelastic scattering (DIS) corresponds to NLO and NNLO approximations, with taking into account the nuclear and higher twist corrections. In this analysis, we extract $xu_v(x,Q^2)$ and $xd_v(x,Q^2)$ valence parton distribution functions (PDFs) in a wide range of $x$ and $Q^2$, and determine their parametrization with the correlated errors using the xFitter framework. Our results regarding valence-quark densities with their uncertainties are compared to the prediction extracted using other PDF sets from different groups. We determine $\alpha_{s}(M_Z^2)$= 0.1199 $\pm$ 0.0031 and 0.1185 $\pm$ 0.0023 with considering the nuclear and higher twist corrections at the NLO and NNLO, respectively, and perform a comparison with other reported results. The extracted results regarding valence-quark distributions and the value of $\alpha_{s}(M_Z^2)$ are in good agreement with available theoretical models.