Order ${\alpha }_s^2$ perturbative QCD corrections to the Gottfried sum rule

Abstract

The order ${\alpha }_s^2$ perturbative QCD correction to the Gottfried sum rule is obtained. The result is based on numerical calculation of the order ${\alpha }_s^2$ contribution to the coefficient function and on the new estimate of the three-loop anomalous dimension term. The correction found is negative and rather small. Therefore it does not affect the necessity to introduce flavour-asymmetry between $\bar{u}$ and $\bar{d}$ antiquarks for the description of NMC result for the Gottfried sum rule.

LaTeX, 7 pages, the discussions of the ${\alpha }_s^2$ corrections to the anomalous dimension are modified; 1 reference added; to be published in Phys. Lett.B

References in corpus (10)

• Improved Measurement of the $\bar{d}/\bar{u}$ Asymmetry in the Nucleon Sea
• Flavor Asymmetry of Antiquark Distributions in the Nucleon
• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Deep Inelastic Structure Functions at two Loops
• Some higher moments of deep inelastic structure functions at next-to-next-to leading order of perturbative QCD
• Non-Singlet Structure Functions at Three Loops: Fermionic Contributions
• Next-to-next-to-leading order QCD analysis of the CCFR data for xF_3 and F_2 structure functions of the deep-inelastic neutrino-nucleon scattering
• Parton model sum rules
• On the range of validity of the QCD-improved parton model
• On Reconciling Gottfried Sum Rule Violation with Cabibbo Theory

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• An Analytical Expression for the Non-Singlet Structure Functions at Small $x$ in the Double Logarithmic Approximation
• Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and DGLAP evolution with GLR-MQ-ZRS corrections
• The puzzle of the non-planar structure of the QCD contributions to the Gottfried sum rule