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

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

2003-04-07

arxiv.org/abs/hep-ph/0304072v2

Phys.Lett. B566 (2003) 120-124

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 7 pages, the discussions of the $\alpha_s^2$ corrections to the anomalous dimension are modified; 1 reference added; to

Scientific paper

10.1016/S0370-2693(03)00771-8

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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