Gottfried Sum Rule in QCD Nonsinglet Analysis of DIS Fixed-Target Data

2018 
Deep-inelastic-scattering data from fixed-target experiments on the structure function F2 were analyzed in the valence-quark approximation at the next-to-next-to-leading-order accuracy level in the strong-coupling constant. In this analysis, parton distributions were parametrized by employing information from the Gottfried sum rule. The strong-coupling constant was found to be α s (M2Z) = 0.1180 ± 0.0020 (total expt. error), which is in perfect agreement with the world-averaged value from an updated Particle Data Group (PDG) report, αPDG s (M2Z) = 0.1181 ± 0.0011. Also, the value of 〈x〉u−d = 0.187 ± 0.021 found for the second moment of the difference in the u- and d-quark distributions complies very well with the most recent lattice result 〈x〉LATTICEu−d = 0.208 ± 0.024.
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