We perform the analysis of existing light-targets deep-inelastic-scattering data in the leading-order, next-to-leading-order, and next-to-next-to-leading-order (NNLO) QCD approximations and extract parton distribution functions (PDFs) simultaneously with the value of the strong coupling constant αₛ and the high-twist contribution to the structure functions. The main theoretical uncertainties and experimental uncertainties due to all sources of experimental errors in the data are estimated; the latter generally dominate for the obtained PDFs. The uncertainty in the Higgs boson production cross section due to errors in PDFs is ~2% for the CERN LHC and varies from 2% to 10% for the Fermilab collider under variation of the Higgs boson mass from 100GeV to 300GeV. For the W-boson production cross section the uncertainty is ~2% for the both colliders. The value of αₛNNLO(MZ)=0.1143±0.0014(expt) is obtained, while the high-twist terms do not vanish up to the NNLO as required by comparison to data.
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S. Alekhin (2003) studied this question.
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