The Jacobi Polynomials QCD analysis for the polarized structure function

TL;DR

This paper uses Jacobi polynomial expansion to analyze polarized structure functions in QCD, deriving new parameterizations for quark and gluon distributions over a wide kinematic range, and determining key QCD parameters.

Contribution

It introduces a novel application of Jacobi polynomials for polarized structure function analysis, providing updated parameterizations and QCD parameter values.

Findings

Good agreement with other theoretical models

New parameterizations for quark and gluon distributions

Determined values of mbda_{QCD} and lpha_s(M_z)

Abstract

We present the results of our QCD analysis for polarized quark distribution and structure function $xg_1 (x,Q^2)$. 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.