Non-singlet structure functions beyond the next-to-next-to leading order

Abstract

We study the evolution of the flavour non-singlet deep-inelastic structure functions F_{2,NS} and F_3 at the next-to-next-to-next-to-leading order (N^3LO) of massless perturbative QCD. The present information on the corresponding three-loop coefficient functions is used to derive approximate expressions of these quantities which prove completely sufficient for values x > 10^{-2} of the Bjorken variable. The inclusion of the N^3LO corrections reduces the theoretical uncertainty of alpha_s determinations from non-singlet scaling violations arising from the truncation of the perturbation series to less than 1%. We also study the predictions of the soft-gluon resummation, of renormalization-scheme optimizations by the principle of minimal sensitivity (PMS) and the effective charge (ECH) method, and of the Pade' summation for the structure-function evolution kernels. The PMS, ECH and Pade' approaches are found to facilitate a reliable estimate of the corrections beyond N^3LO.

29 pages, LaTeX, 12 eps-figures

Cited by in corpus (40)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• The t-tbar cross-section at 1.8 and 1.96 TeV: a study of the systematics due to parton densities and scale dependence
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS
• The Longitudinal Structure Function at the Third Order
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• On Sudakov and Soft resummations in QCD
• Third-order QCD corrections to the charged-current structure function F_3
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• On Higgs decays to hadrons and the R-ratio at N^4LO
• On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• Non-Singlet Structure Functions at Three Loops: Fermionic Contributions
• On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering
• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
• Higher Orders in A(α_s)/[1-x]_+ of Non-Singlet Partonic Splitting Functions
• Threshold Resummation of the Structure Function F_L
• Neutrino Structure Functions from GeV to EeV Energies
• Two-loop QED Operator Matrix Elements with Massive External Fermion Lines
• The interplay between Sudakov resummation, renormalons and higher twist in deep inelastic scattering
• Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering
• On threshold resummation beyond leading 1-x order
• Differences between charged-current coefficient functions
• Absence of pi^2 terms in physical anomalous dimensions in DIS: verification and resulting predictions
• Four-loop splitting functions in QCD -- The gluon-to-quark case
• QCD coupling constant at NNLO from DIS data
• Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering
• Next-to-next-to-leading order QCD corrections to the photon's parton structure
• Charged current deep-inelastic scattering at three loops
• Large-x structure of physical evolution kernels in Deep Inelastic Scattering
• N^3LO fits to xF_3 data : ${\alpha }_s$ vs 1/Q^2 contributions
• Improved nonsinglet QCD analysis of the fixed-target DIS data
• Non-singlet structure functions: Combining the leading logarithms resummation at small-x with DGLAP
• Third-order QCD results on form factors and coefficient functions
• NNLO Logarithmic Expansions and Precise Determinations of the Neutral Currents near the Z Resonance at the LHC: The Drell-Yan case
• Four-loop large-n_f contributions to the non-singlet structure functions F_2 and F_L
• On the Scale Variation of the Total Cross Section for Higgs Production at the LHC and at the Tevatron
• On threshold resummation of singlet structure and fragmentation functions
• Parton densities and structure functions at next-to-next-to-leading order and beyond