Next-to-Leading Order QCD Analysis of Polarized Deep Inelastic Scattering Data

Abstract

We present a Next-to-Leading order perturbative QCD analysis of world data on the spin dependent structure functions $g_1^p,g_1^n$, and $g_1^d$, including the new experimental information on the $Q^2$ dependence of $g_1^n$. Careful attention is paid to the experimental and theoretical uncertainties. The data constrain the first moments of the polarized valence quark distributions, but only qualitatively constrain the polarized sea quark and gluon distributions. The NLO results are used to determine the $Q^2$ dependence of the ratio $g_1/F_1$ and evolve the experimental data to a constant $Q^2=5Ge{V}^2$. We determine the first moments of the polarized structure functions of the proton and neutron and find agreement with the Bjorken sum rule.

21 pages, 4 figures; final version to be published in Phys. Lett. B. References updated. Uses elsart.cls version 1996/04/22, 2e-1.41

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• The theory and phenomenology of polarized deep inelastic scattering
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• Deep Inelastic Scattering of Polarized Electrons by Polarized ${}^3$He and the Study of the Neutron Spin Structure
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• Polarized Parton Distributions in the Nucleon
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• The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$
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• The Spin Structure of the Nucleon in the Asymptotic Limit
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Cited by in corpus (76)

• Models for the Polarized Parton Distributions of the Nucleon
• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Precise determination of the spin structure function ${\mathbf{g}}_1$ of the proton, deuteron and neutron
• The QCD Running Coupling
• Measurements of the $Q^2$-Dependence of the Proton and Neutron Spin Structure Functions g1p and g1n
• QCD Analysis of Polarized Deep Inelastic Data and Parton Distributions
• Spin Physics and Polarized Structure Functions
• Measurement of the Deuteron Spin Structure Function g_1^d(x) for 1 (GeV/c)^2 < Q^2 < 40 (GeV/c)^2
• Precision Measurement of the Neutron Spin Asymmetries and Spin-dependent Structure Functions in the Valence Quark Region
• Nuclear Deep-Inelastic Lepton Scattering and Coherence Phenomena
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• The Spin Structure of the Nucleon
• Spin Structure of the Nucleon - Status and Recent Results
• QCD Analysis of the Polarized World Data
• Process-independent strong running coupling
• QCD Analysis of Polarized Deep Inelastic Scattering Data
• Measurement of the Spin Asymmetry in the Photoproduction of Pairs of High-pT Hadrons at HERMES
• Precision Measurement of the Neutron Spin Asymmetry $A_1^n$ and Spin-Flavor Decomposition in the Valence Quark Region
• The Spin Structure of the Nucleon
• Sea quark and gluon polarization in the nucleon at NLO accuracy
• Parity-Violating Electron Scattering and Neucleon Structure
• Effective charge from lattice QCD
• Azimuthal spin asymmetries in light-cone constituent quark models
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• NLO QCD Analysis of Polarized Deep Inelastic Scattering
• QCD Running Couplings and Effective Charges
• Helicity-dependent generalized parton distributions in constituent quark models
• Effect of Orbital Angular Momentum on Valence-Quark Helicity Distributions
• Polarized Parton Densities in the Nucleon
• The Bjorken Sum Rule in the Analytic Approach to Perturbative QCD
• Determination of the Deep Inelastic Contribution to the Generalised Gerasimov-Drell-Hearn Integral for the Proton and Neutron
• Evolution Equations for Higher Moments of Angular Momentum Distributions
• Inclusive and Semi-Inclusive Polarized DIS Data Revisited
• Complete analysis of spin structure function g1 of He-3
• Next-to-Leading Order Analysis of Inclusive and Semi-inclusive Polarized Data
• Scheme Dependence in Polarized Deep Inelastic Scattering
• Measurement of Inclusive Spin Structure Functions of the Deuteron
• Photoproduction of Heavy Quarks in Next-to-Leading Order QCD with Longitudinally Polarized Initial States
• Axial-vector form factors of the nucleon within the chiral quark-soliton model and their strange components
• The Jacobi Polynomials QCD analysis for the polarized structure function
• Polarized Deeply Inelastic Scattering (DIS) Structure Functions for Nucleons and Nuclei
• Flavor Singlet Axial Vector Coupling of the Proton with Dynamical Wilson Fermions
• QCD Corrections to Double and Single Spin Asymmetries in Vector Boson Production at Polarized Hadron Colliders
• N* Structure and Strong QCD
• Scale- and scheme-independent extension of Pade approximants; Bjorken polarized sum rule as an example
• The Chiral Extrapolation of Strange Matrix Elements in the Nucleon
• Nucleon Spin with and without Hyperon Data: A New Tool for Analysis
• The Role of Polarized Valons in the Flavor Symmetry Breaking of Nucleon Sea
• Resonances and higher twist in polarized lepton-nucleon scattering
• Polarised parton distribution functions and proton spin
• Novel and self-consistency analysis of the QCD running coupling ${\alpha }_s(Q)$ in both the perturbative and nonperturbative domains
• Remarks on Next-to-Leading Order Analysis of Polarized Deep Inelastic Scattering Data
• A QCD Analysis of Polarised Parton Densities
• Impact of recent COMPASS data on polarized parton distributions and structure functions
• The s-s(bar) asymmetry in nucleon and "NuTeV anomaly"
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• Role of the Delta (1232) in DIS on polarized ${}^3$He and extraction of the neutron spin structure function $g_1^n(x,Q^2)$
• Spin Structure Function g_2(x,Q^2) and Twist-3 Operators in large-N_C QCD
• Polarized parton distributions in perturbative QCD
• Non-Singlet spin structure function in the valon model and low x scaling behavior of $g_1^{NS}$ and $g_1^p$
• Nucleon spin content and axial coupling constants in QCD sum rules approach
• The Bethe-Heitler Process in Polarized Photon-Nucleon Interactions
• Sensitivity of strange quark polarization to flavor SU(3) symmetry breaking
• QCD and Nuclear Physics
• Nuclear shadowing in polarized DIS on ^6LiD at small x and its effect on the extraction of the deuteron spin structure function g_{1}^{d}(x,Q^2)
• Comparison of the fits to data on polarised structure functions and spin asymmetries
• Different behaviour of the spin structure functions $g_1(x)$ and $h_1(x)$ at $x\to 0$
• Renormalization-Scale-Invariant PQCD Predictions for R_e+e- and the Bjorken Sum Rule at Next-to-Leading Order
• Transverse Spin Structure Function g2(x, Q2 ) in the Valon model
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS
• An Alternative Method to Obtain the Quark Polarization of the Nucleon
• The spin structure function of the neutron
• QCD Analysis of the Polarized Deep-Inelastic World Data
• Test Beams and Polarized Fixed Target Beams at the NLC
• Polarized lepton nucleon scattering -- summary of the theory talks on spin physics at DIS 99
• Electroproduction of psi' and polarized gluon distribution in a proton