Bjorken polarized sum rule and infrared-safe QCD couplings

Abstract

Experimental data obtained for the polarized Bjorken sum rule (BSR) ${\Gamma }_1^{p-n}(Q^2)$ are fitted by using predictions derived within a truncated operator product expansion (OPE) approach to QCD. Four QCD versions are considered: perturbative QCD (pQCD) in the MSbar scheme, Analytic Perturbation Theory (APT), and 2$\delta$ and 3$\delta$ analytic QCD versions. In contrast to pQCD, these QCD variants do not have Landau singularities at low positive $Q^2$, which facilitates the fitting procedure significantly. The fitting procedure is applied first to the experimental data of the inelastic part of BSR, and the known elastic contributions are added after the fitting. In general, when 2$\delta$ and 3$\delta$ QCD coupling is used the fitted curves give the best results, within the $Q^2$-range of the fit as well as in extended $Q^2$-intervals. When the fitting procedure is applied to the total BSR, i.e., to the sum of the experimental data and the elastic contribution, the quality of the results deteriorates significantly.

arXiv comment29 pages, 8 figures; to appear in EPJ C

References in corpus (89)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• The QCD Running Coupling
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Nonperturbative QCD Coupling and its $\beta$ function from Light-Front Holography
• Non-perturbative comparison of QCD effective charges
• Matching Long and Short Distances in Large-Nc QCD
• Process-independent strong running coupling
• On the running coupling constant in QCD
• The strong coupling and its running to four loops in a minimal MOM scheme
• Ghost-gluon running coupling, power corrections and the determination of ${\Lambda }_{\overline{\mathrm{MS}}}$
• Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
• Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density
• Analytic Perturbation Theory in analyzing some QCD observables
• Higher twists and ${\alpha }_s(M_Z)$ extractions from the NNLO QCD analysis of the CCFR data for $x{F}_3$ structure function
• Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF_3 structure function and the higher twist contributions
• Ten years of the Analytic Perturbation Theory in QCD
• Analytic Invariant Charge in QCD
• Experimental determination of the evolution of the Bjorken integral at low Q^2
• Analytic Perturbation Theory and Inclusive Tau Decay
• Quark-antiquark potential in the analytic approach to QCD
• Duality between QCD Perturbative Series and Power Corrections
• Bound state approach to the QCD coupling at low energy scales
• The Adler Function for Light Quarks in Analytic Perturbation Theory
• Small-x behavior of the structure function F_2 and its slope partial ln(F_2)/partial ln(1/x) for "frozen" and analytic strong-coupling constants
• Experimental study of isovector spin sum rules
• Fractional Analytic Perturbation Theory in Minkowski space and application to Higgs boson decay into a b\bar{b} pair
• Analytic Approach to Perturbative QCD and Renormalization Scheme Dependence
• Power-law running of the effective gluon mass
• Various versions of analytic QCD and skeleton-motivated evaluation of observables
• Analysis of nucleon electromagnetic form factors from light-front holographic QCD : The spacelike region
• Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• QCD coupling below 1 GeV from quarkonium spectrum
• The strong running coupling at $\tau$ and $Z_0$ mass scales from lattice QCD
• Bjorken Sum Rule and pQCD frontier on the move
• New analytic running coupling in spacelike and timelike regions
• Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
• New insights into the spin structure of the nucleon
• Nucleon spin structure and pQCD frontier on the move
• The strong coupling constant at small momentum as an instanton detector
• The Complete $O({\alpha }_s^2)$ Non-Singlet Heavy Flavor Corrections to the Structure Functions $g_{1,2}^{ep}(x,Q^2)$, $F_{1,2,L}^{ep}(x,Q^2)$, $F_{1,2,3}^{\nu (\bar{\nu })}(x,Q^2)$ and the Associated Sum Rules
• Four-loop QCD analysis of the Bjorken sum rule vs data
• Leading and higher twists in the proton polarized structure function at large Bjorken x
• An approach for evaluation of observables in analytic versions of QCD
• Ghost-gluon coupling, power corrections and ${\Lambda }_{\overline{\mathrm{MS}}}$ from lattice QCD with a dynamical charm
• Taming Landau singularities in QCD perturbation theory: The analytic approach 2.0
• Analogs of noninteger powers in general analytic QCD
• Infrared enhanced analytic coupling and chiral symmetry breaking in QCD
• Renormalization group analysis of the gluon mass equation
• Analytic and "frozen" QCD coupling constants up to NNLO from DIS data
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• Gold-plated moments of nucleon structure functions in baryon chiral perturbation theory
• A novel integral representation for the Adler function
• FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory
• Next-to-Next-to-Leading Order QCD Analysis of DIS Structure Functions
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Analyticity and higher twists
• QCDMAPT: program package for Analytic approach to QCD
• anQCD: a Mathematica package for calculations in general analytic QCD models
• "Massive" Perturbative QCD, regular in the IR limit
• Generalized Gerasimov-Drell-Hearn Sum Rule for the Proton-Neutron Difference in Chiral Perturbation Theory
• Large-Nc QCD and Pade Approximant Theory
• QCD radiative and power corrections and Generalized GDH sum rules
• Fourth-order QCD renormalization group quantities in the {\rm{V}}-scheme and the relation of the $\beta$-function to the Gell-Mann--Low function in QED
• Implications of the Principle of Maximum Conformality for the QCD Strong Coupling
• Dispersive approach to QCD and inclusive tau lepton hadronic decay
• Modified instanton profile effects from lattice Green functions
• The longitudinal structure function F_L: perturbative QCD and k_T-factorization versus experimental data at fixed W
• Operator Product Expansion with analytic QCD in tau decay physics
• Hadronic vacuum polarization function within dispersive approach to QCD
• Analyticity properties of three-point functions in QCD beyond leading order
• QCDMAPT_F: Fortran version of QCDMAPT package
• Renormalization of Twist-4 Operators in QCD Bjorken and Ellis-Jaffe Sum Rules
• On the $G_2$ Manifestation for Longitudinally Polarized
• The singlet contribution to the Bjorken sum rule for polarized deep inelastic scattering
• Electron-positron annihilation into hadrons at the higher-loop levels
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Determination of ${\Lambda }_{\overline{MS}}$ at five loops from holographic QCD
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the $\beta$-factorization property?
• Lattice-motivated holomorphic nearly perturbative QCD
• Scale- and scheme-independent extension of Pade approximants; Bjorken polarized sum rule as an example
• Q2-evolution of parton densities at small x values. Charm contribution in the combined H1 and ZEUS F2 data
• Improved nonsinglet QCD analysis of the fixed-target DIS data
• anQCD: Fortran programs for couplings at complex momenta in various analytic QCD models
• Bjorken sum rule in QCD with analytic coupling

Cited by in corpus (21)

• Standard Model $\mathcal{O}(\alpha )$ renormalization of $g_A$ and its impact on new physics searches
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Renormalon-motivated evaluation of QCD observables
• Polarized electron-deuteron deep-inelastic scattering with spectator nucleon tagging
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Study of the resonance structures in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ process
• The Standard Model theory of neutron beta decay
• Fractional Analytic QCD beyond Leading Order
• Bjorken sum rule with hyperasymptotic precision
• Fractional Analytic QCD beyond Leading Order in timelike region
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Evaluation of Bjorken polarised sum rule with a renormalon-motivated approach
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• A novel determination of non-perturbative contributions to Bjorken sum rule
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• Analysis of strong coupling constant with machine learning and its application
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling
• Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form