How to perform QCD analysis of DIS in Analytic Perturbation Theory

Abstract

We apply (Fractional) Analytic Perturbation Theory (FAPT) to the QCD analysis of the nonsinglet nucleon structure function $F_2(x,Q^2)$ in deep inelastic scattering up to the next leading order and compare the results with ones obtained within the standard perturbation QCD. Based on a popular parameterization of the corresponding parton distribution we perform the analysis within the Jacobi Polynomial formalism and under the control of the numerical inverse Mellin transform. To reveal the main features of the FAPT two-loop approach, we consider a wide range of momentum transfer from high $Q^2\sim 100{\mathrm{GeV}}^2$ to low $Q^2\sim 0.3{\mathrm{GeV}}^2$ where the approach still works.

14 pages, 4 figures, 1 table; v3: Improve clarity and some details, references are also added. Version accepted for publication in PRD

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Cited by in corpus (16)

• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects
• Renormalon-motivated evaluation of QCD observables
• Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Study of spin-dependent structure functions of ${}^3\mathrm{He}$ and ${}^3\mathrm{H}$ at NNLO approximation and corresponding nuclear corrections
• Lattice-motivated holomorphic nearly perturbative QCD
• anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form
• Analytical perturbation theory and Nucleon structure function in infrared region
• Nucleon spin structure functions, considering target mass correction and higher twist effects at the NNLO accuracy and their transverse momentum dependence