Gottfried sum rule in QCD NS analysis of DIS fixed target data

Abstract

Deep inelastic scattering data on $F_2$ structure function obtained in the fixed-target experiments were analysed in the valence quark approximation with a next-to-next-to-leading-order accuracy. Parton distribution functions are parametrized by using information from the Gottfried sum rule. The strong coupling constant is found to be $α_s(M_Z^2) = 0.1180 \pm 0.0020~\mbox(total\,exp.error)$, which coincides very well with the average world value ${\alpha }_s^{\mathrm{PDG}}(M_Z^2)=0.1181\pm 0.0013$ updated recently in a PDG report. The result for the second moment of the difference in $u$ and $d$ quark distributions $<x{>}_{u-d}=0.187\pm 0.021$ is seen to be well compatible with the latest LATTICE result $<x{>}_{u-d}^{\mathrm{LATTICE}}=0.208\pm 0.024$

12 pp, 1 fig, version to be published in Phys. At. Nucl

References in corpus (4)

• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Massless Propagators, $R(s)$ and Multiloop QCD
• Four loop anomalous dimension of the third and fourth moments of the non-singlet twist-2 operator in QCD

Cited by in corpus (1)

• Application of the rescaling model at small Bjorken $x$ values