QCD Analysis of Polarized Deep Inelastic Scattering Data

Abstract

A QCD analysis of the world data on polarized deep inelastic scattering is presented in next--to--leading order, including the heavy flavor Wilson coefficient in leading order in the fixed flavor number scheme. New parameterizations are derived for the quark and gluon distributions and the value of ${\alpha }_s(M_z^2)$ is determined. The impact of the variation of both the renormalization and factorization scales on the distributions and the value of ${\alpha }_s$ is studied. We obtain ${\alpha }_s^{\mathrm{NLO}}(M_Z^2)=0.1132\begin{array}{l}+0.0056\\ -0.0095\end{array}$. The first moments of the polarized twist--2 parton distribution functions are calculated with correlated errors to allow for comparisons with results from lattice QCD simulations. Potential higher twist contributions to the structure function $g_1(x,Q^2)$ are determined and found to be compatible with zero both for proton and deuteron targets.

33 pages, 1 style file, 7 figures

References in corpus (14)

• Combined Measurement and QCD Analysis of the Inclusive ep Scattering Cross Sections at HERA
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• The Deuteron Spin-dependent Structure Function g1d and its First Moment
• Global Analysis of Helicity Parton Densities and Their Uncertainties
• The Spin-dependent Structure Function of the Proton g_1^p and a Test of the Bjorken Sum Rule
• Determination of gluon polarization from deep inelastic scattering and collider data
• Hadronization effects in event shape moments
• Nucleon structure with two flavors of dynamical domain-wall fermions
• Hadron Spectroscopy with Dynamical Chirally Improved Fermions
• Determination of polarized parton distribution functions with recent data on polarization asymmetries
• Higher Twist Contributions to the Structure Functions F_2^p(x,Q^2) and F_2^d(x,Q^2) at Large x and Higher Orders
• Non-singlet QCD analysis of F_2(x,Q^2) up to NNLO
• The Jacobi Polynomials QCD analysis for the polarized structure function
• Some Remarks on Methods of QCD Analysis of Polarized DIS Data

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