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Order $α_s^2$ perturbative QCD corrections to the Gottfried sum rule

A. L. Kataev·G. Parente
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Abstract

The order $α_s^2$ perturbative QCD correction to the Gottfried sum rule is obtained. The result is based on numerical calculation of the order $α_s^2$ 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.

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A. L. Kataev, G. Parente. 2003-05-20. Order $α_s^2$ perturbative QCD corrections to the Gottfried sum rule. https://doi.org/10.1016/s0370-2693(03)00771-8

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