Impact of the three-loop corrections on the QCD analysis of the deep-inelastic-scattering data

Abstract

We perform the analysis of the existing inclusive deep inelastic scattering (DIS) data within NNLO QCD approximation. The parton distributions functions (PDFs) and the value of strong coupling constant ${\alpha }_s(M_Z)=0.1143\pm 0.0013(exp)$ are obtained. The sensitivity of the PDFs to the uncertainty in the value of the NNLO corrections to the splitting functions is analyzed. It is shown that the PDFs errors due to this uncertainty is generally less than the experimental uncertainty in PDFs through the region of $x$ spanned by the existing DIS data.

9 pages, LATEX, 4 figures (EPS). After fixing bug, which caused incomplete account of the NNLO corrections in the fitting program, the fitted value of α_s(M_Z)(NNLO) decreased by 0.002. The PDFs values changed within their experimental errors, the conclusions remain unchanged

References in corpus (4)

• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• NNLO evolution of deep-inelastic structure functions: the singlet case
• Improved Approximations for the Three-Loop Splitting Functions in QCD
• Estimating the effect of NNLO contributions on global parton analyses

Cited by in corpus (13)

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• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Parton distribution functions and benchmark cross sections at NNLO
• The ABM parton distributions tuned to LHC data
• Dynamical NNLO parton distributions
• A ZEUS next-to-leading-order QCD analysis of data on deep inelastic scattering
• Parton distributions from deep-inelastic-scattering data
• Non-Singlet Structure Functions at Three Loops: Fermionic Contributions
• Deviations from NLO QCD evolution in inclusive HERA data
• QCD coupling constant at NNLO from DIS data
• Evolution Kernels from Splitting Amplitudes
• Parton Distributions
• Structure Functions and Parton Distributions