Non-singlet QCD analysis of F_2(x,Q^2) up to NNLO

Abstract

The significance of NNLO (3-loop) QCD contributions to the flavor non-singlet sector of F_2^ep and F_2^ed has been studied as compared to uncertainties (different factorization schemes, higher twist and QED contributions) of standard NLO (and LO) QCD analyses. The latter effects turn out to be comparable in size to the NNLO contributions. Therefore the minute NNLO effects are not observable with presently available data on non-singlet structure functions.

arXiv comment14 pages, 2 figures

References in corpus (17)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Improved Measurement of the $\bar{d}/\bar{u}$ Asymmetry in the Nucleon Sea
• Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio sigma(L)/sigma(T)
• MRST2001: partons and alpha_S from precise deep inelastic scattering and Tevatron jet data
• Measurement of the neutral current cross section and F2 structure function for deep inelastic e+p scattering at HERA
• NNLO global parton analysis
• Harmonic Sums and Mellin Transforms up to two-loop Order
• Measurement and QCD Analysis of Neutral and Charged Current Cross Sections at HERA
• Parton distributions from deep-inelastic-scattering data
• NNLO evolution of deep-inelastic structure functions: the non-singlet case
• Parton Distributions, d/u, and Higher Twist Effects at High X
• The Evolution of Unpolarized Singlet Structure Functions at Small x
• Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF_3 structure function and the higher twist contributions
• QED Radiative Corrections for Parton Distributions
• Next-to-next-to-leading order QCD analysis of the CCFR data for xF_3 and F_2 structure functions of the deep-inelastic neutrino-nucleon scattering
• Next-to-Next-to-Leading Order QCD Analysis of DIS Structure Functions
• Non-Singlet QCD Analysis of the Structure Function F_2 in 3-Loops

Cited by in corpus (29)

• A Large Hadron Electron Collider at CERN: Report on the Physics and Design Concepts for Machine and Detector
• Parton distribution functions and benchmark cross sections at NNLO
• The ABM parton distributions tuned to LHC data
• Dynamical NNLO parton distributions
• QCD Analysis of the Polarized World Data
• QCD Analysis of Polarized Deep Inelastic Scattering Data
• Non--Singlet QCD Analysis of Deep Inelastic World Data at \boldmath $O({\alpha }_s^3)$
• A Critical Appraisal and Evaluation of Modern PDFs
• The Theory of Deeply Inelastic Scattering
• The O(α_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity
• Neural network determination of parton distributions: the nonsinglet case
• The Logarithmic Contributions to the O(α_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering
• Analytic derivation of the next-to-leading order proton structure function $F_2^p(x,Q^2)$ based on the Laplace transformation
• Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach
• Polarized Deeply Inelastic Scattering (DIS) Structure Functions for Nucleons and Nuclei
• Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit
• QCD coupling constant at NNLO from DIS data
• NNLO QCD contributions to the flavor non-singlet sector of ${\mathbf{F}}_2(\mathbf{x},{\mathbf{Q}}^2)$
• Dynamical NNLO parton distributions and the perturbative stability of F_L(x,Q^2)
• The curvature of $F_2^p(x,Q^2)$ as a probe of the range of validity of perturbative QCD evolutions in the small-$x$ region
• The NNLO non-singlet QCD analysis of parton distributions based on Bernstein polynomials
• Logarithmic $O({\alpha }_s^3)$ contributions to the DIS Heavy Flavor Wilson Coefficients at $Q^2\gg m^2$
• New type of parametrizations for parton distributions
• Higher Twist contributions to the Structure Functions F_2(x,Q^2) and g_2(x,Q^2)
• Impact of recent COMPASS data on polarized parton distributions and structure functions
• Dynamical parton distribution functions
• QCD analysis of non-singlet structure functions at NNLO accuracy, based on the Laplace transform
• The QCD Coupling and Parton Distributions at High Precision
• QCD Analysis of the Polarized Deep-Inelastic World Data