QCD analysis of non-singlet structure functions

A Ghaffari-Turan,A Khorramian,H Abdolmaleki,L Bravina,S Kabana,Y Foka

doi:10.1051/epjconf/201716408007

Abstract

We present the results of the leading order (LO) and next-to-leading order (NLO) QCD analysis of experimental data in deep-inelastic scattering which relate to non-singlet structure functions. We use HERAFitter package to study the non-singlet xF 3 structure function. In this regards, we use the non-singlet structure function in x space and we combine CCFR experimental data with NuTeV, CDHSW and CHORUS experimental data as well. Our results at LO and NLO are compatible with the available theoretical models.

Highlights

To obtain the nucleon structure functions in lepton-nucleon scattering or a physical cross section in nucleon-nucleon scattering, we need to have parton distribution functions (PDFs)
We describe our QCD fit results using the experimental data which we choose to study of non-singlet structure function
The experimental data which we used in this analysis at leading order (LO) and next-to-leading order (NLO) approximation are CCFR, NuTeV, CDHSW and CHORUS

Summary

Introduction

To obtain the nucleon structure functions in lepton-nucleon scattering or a physical cross section in nucleon-nucleon scattering, we need to have parton distribution functions (PDFs). The PDFs can not be extracted from the theory and they must be determined from the fits of the experimental data These distributions are functions of x and Q2, and they are correlated by measurements from a wide variety of different processes and experiments, and are correlated by theoretical constraints. The Q2 dependence of these non-singlet distributions can obtain using the DGLAP evolution equations [1] In this regard, the experimental data in the special range of deep inelastic scattering (DIS), is very important to determine the flavor of non-singlet parton distribution functions. Several results of our QCD analysis about non-singlet structure functions in different cases are reported in Refs.

Formalism

Conclusion