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arxiv: hep-ph/0304072 · v2 · submitted 2003-04-07 · ✦ hep-ph

Order α_s² perturbative QCD corrections to the Gottfried sum rule

classification ✦ hep-ph
keywords alphagottfriedorderrulecorrectionperturbativeresultaffect
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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.

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