The Jacobi Polynomials QCD analysis for the polarized structure function

Abstract

We present the results of our QCD analysis for polarized quark distribution and structure function $x{g}_1(x,Q^2)$. We use very recently experimental data to parameterize our model. New parameterizations are derived for the quark and gluon distributions for the kinematic range $x\epsilon [10^{-8},1]$, $Q^2\epsilon [1,10^6]$ GeV^2. The analysis is based on the Jacobi polynomials expansion of the polarized structure functions. Our calculations for polarized parton distribution functions based on the Jacobi polynomials method are in good agreement with the other theoretical models. The values of ${\Lambda }_{QCD}$ and ${\alpha }_s(M_z)$ are determined.

23 pages, 8 figures and 4 tables

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• QCD Analysis of Polarized Deep Inelastic Scattering Data
• Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach
• Determination of pion and kaon fragmentation functions including spin asymmetries data in a global analysis
• Polarized Deeply Inelastic Scattering (DIS) Structure Functions for Nucleons and Nuclei
• Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit
• NNLO QCD contributions to the flavor non-singlet sector of ${\mathbf{F}}_2(\mathbf{x},{\mathbf{Q}}^2)$
• QCD analysis of polarized DIS and the SIDIS asymmetry world data and light sea-quark decomposition
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• QCD analysis of structure functions in deep inelastic neutrino-nucleon scattering without using the orthogonal polynomials approach
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• Effect of symmetry breaking of polarized light sea quarks on the nucleon and nuclear structure functions, and sum rules
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• QCD analysis of valence structure functions using deep inelastic lepton-nucleon scattering