The Jacobi polynomials QCD analysis for the polarized structure function

2007/05/31 by S. Atashbar Tehrani, Ali N. Khorramian, Ali N Khorramian
Physics and Astronomy · #Distribution (mathematics) #Distribution function #Gluon #Jacobi polynomials #Particle physics theoretical and experimental studies #Parton #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quark #Structure function #hep-ph

paper · pdf · doi:10.1088/1126-6708/2007/07/048

published as JHEP 0707:048,2007 · 23 pages, 8 figures and 4 tables

openalex publication_date 2007/07/17 · arxiv created 2007/07/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present the results of our QCD analysis for polarized quark distribution and structure function xg₁ (x,Q²). 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 ε[10^-8,1], Q² ε[1,10⁶] GeV². 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 Λ_QCD and α_s(M_z) are determined.

Citations

• Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF3 structure function and the higher twist contributions
• Meson structure functions in the valon model
• Asymptotic freedom in parton language
• THE ROLE OF POLARIZED VALONS IN THE FLAVOR SYMMETRY BREAKING OF NUCLEON SEA
• A new study of the polarized parton densities in the nucleon
• Infrared Renormalons and the Relations between the Gross–Llewellyn Smith and the Bjorken Polarized and Unpolarized Sum Rules
• Next-to-leading-order constituent quark structure and hadronic structure functions
• Scheme dependence in polarized deep inelastic scattering
• Spin structure of the proton from polarized inclusive deep-inelastic muon-proton scattering
• Review of Particle Physics