Parton model sum rules

Abstract

This review article discusses the experimental and theoretical status of various Parton Model sum rules. The basis of the sum rules in perturbative QCD is discussed. Their use in extracting the value of the strong coupling constant is evaluated and the failure of the naive version of some of these rules is assessed.

48 pages, LaTeX, 4 eps figures, available from http://theor1.lbl.gov/www/theorypapers/preprints.html/38549.ps

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• The theory and phenomenology of polarized deep inelastic scattering
• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• Next-to-Leading Order Radiative Parton Model Analysis of Polarized Deep Inelastic Scattering
• The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$
• Estimates of the higher-order QCD corrections to R(s), R_τ and deep-inelasstic scattering sum rules
• A Rederivation of the Spin-dependent Next-to-leading Order Splitting Functions
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• The Jacobi Polinomials QCD Analysis of the CCFR Data for xF_3 and the Q^2-Dependence of the Gross-Llewllyn Smith Sum Rule
• Nonleptonic Two-Body Decays of D Mesons in Broken SU(3)
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• Target Mass Effects in QCD Bjorken Sum Rule
• More on the Burkhardt-Cottingham Sum Rule in QCD
• Higher twist corrections to Bjorken sum rule
• What does the CCFR measurement of the Gross--Llewelyn Smith sum rule tell us?
• Target Mass Corrections to QCD Bjorken Sum Rule for Nucleon Spin Structure Functions

Cited by in corpus (14)

• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Flavor Asymmetry of Antiquark Distributions in the Nucleon
• Spin Physics and Polarized Structure Functions
• Flavor Asymmetry of Light Quarks in the Nucleon Sea
• Charge Symmetry at the Partonic Level
• Nuclear shadowing in neutrino-nucleus deeply inelastic scattering
• Renormalons at the boundaries between perturbative and non-perturbative QCD
• Infrared renormalons and the relations between the Gross-Llewellyn Smith and the Bjorken polarized and unpolarized sum rules
• Fit to the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules in a renormalon based approach
• Scaling of space and timelike response of confined relativistic particles
• Order ${\alpha }_s^2$ perturbative QCD corrections to the Gottfried sum rule
• Additional Corrections to the Gross-Llewellyn Smith Sum Rule
• The Gross-Llewellyn Smith sum rule up to $\mathcal{O}({\alpha }_s^4)$-order QCD corrections
• Scaling in many-body systems and proton structure function