Next-To-Leading Order Analysis of Polarized and Unpolarized Structure Functions

Abstract

We present numerical solutions of the $Q^2$ evolution equations at next-to-leading order (NLO) for unpolarized and polarized parton distributions, in both the flavor non-singlet and singlet channels. The numerical method is based on a contour integration algorithm in complex-moment space, and, unlike most standard fitting techniques, is not restricted to the use of analytic moments of distributions. We also compute analytic continuations of the recently calculated singlet anomalous dimensions, needed for evolving polarized quark and gluon distributions at NLO. Using these we study the NLO effects on the $x$ dependence of the spin-dependent structure functions $g_1^p$ and $g_1^n$.

37 pages RevTeX, 7 figures, accepted for publication in Nucl. Phys. B

Cited by in corpus (26)

• Spin Physics and Polarized Structure Functions
• A Rederivation of the Spin-dependent Next-to-leading Order Splitting Functions
• The Spin Structure of the Nucleon
• Numerical solution of Q^2 evolution equations for polarized structure functions
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• First Monte Carlo analysis of fragmentation functions from single-inclusive $e^{+}{e}^{-}$ annihilation
• Impact of hadronic and nuclear corrections on global analysis of spin-dependent parton distributions
• Spin-Dependent Twist-Four Matrix Elements from g_1 Data in the Resonance Region
• Drell-Yan processes, transversity and light-cone wavefunctions
• On the analytical approximation to the GLAP evolution at small x and moderate Q^2
• Constraints on spin-dependent parton distributions at large x from global QCD analysis
• Polarized Parton Distributiions and Light-Front Dynamics
• Anomalous dimensions of operators in polarized deep inelastic scattering at O(1/N_f)
• QCD coupling constant at NNLO from DIS data
• Phenomenological analysis of the nucleon spin contents and their scale dependence
• Nonperturbative versus perturbative effects in generalized parton distributions
• Quark-hadron duality and truncated moments of nucleon structure functions
• Probing Nucleon Spin Structure
• Large-x d/u Ratio in W-boson Production
• Non-local generalization of the axial anomaly and $x$-dependence of the anomalous gluon contribution
• Remarks on Next-to-Leading Order Analysis of Polarized Deep Inelastic Scattering Data
• Charge symmetry violation: a NNLO study of partonic observables
• Extraction of the neutron F2 structure function from inclusive proton and deuteron deep-inelastic scattering data
• Quark model predictions for the SU(6)-breaking ratio of the proton momentum distributions
• Measurements of Non-Singlet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for $Q^2=4$ $\mathrm{Ge}{\mathrm{V}}^2$
• Probing Relativistic Spin Effects in the Nucleon by Means of Drell-Yan Processes