A novel determination of non-perturbative contributions to Bjorken sum rule

Abstract

In the present paper, we first give a detailed study on the pQCD corrections to the leading-twist part of BSR. Previous pQCD corrections to the leading-twist part derived under conventional scale-setting approach up to $\mathcal{O}({\alpha }_s^4)$-level still show strong renormalization scale dependence. The principle of maximum conformality (PMC) provides a systematic way to eliminate conventional renormalization scale-setting ambiguity by determining the accurate ${\alpha }_s$-running behavior of the process with the help of renormalization group equation. Our calculation confirms the PMC prediction satisfies the standard renormalization group invariance, e.g. its fixed-order prediction does scheme-and-scale independent. In low $Q^2$-region, the effective momentum of the process is small and to have a reliable prediction, we adopt four low-energy ${\alpha }_s$ models to do the analysis. Our predictions show that even though the high-twist terms are generally power suppressed in high $Q^2$-region, they shall have sizable contributions in low and intermediate $Q^2$ domain. By using the more accurate scheme-and-scale independent pQCD prediction, we present a novel fit of the non-perturbative high-twist contributions by comparing with the JLab data.

arXiv comment14 pages,14 figures

References in corpus (49)

• The four-loop beta-function in Quantum Chromodynamics
• The three-loop QCD $\beta$-function and anomalous dimensions
• Five-Loop Running of the QCD coupling constant
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• A Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in PQCD
• Systematic Scale-Setting to All Orders: The Principle of Maximum Conformality and Commensurate Scale Relations
• ERRATUM TO: Power corrections $1/Q^2$ to parton sum rules for deep inelastic scattering from polarized targets
• Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality
• Scale Setting Using the Extended Renormalization Group and the Principle of Maximum Conformality: the QCD Coupling Constant at Four Loops
• The Renormalization Scale-Setting Problem in QCD
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Comparison of the Pade Approximation Method to Perturbative QCD Calculations
• Target Mass Corrections for Polarized Structure Functions and New Sum Rules
• Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop
• Experimental determination of the evolution of the Bjorken integral at low Q^2
• Q^2-Dependence of the Proton's G_1 Structure Function Sum Rule
• Renormalization Group Invariance and Optimal QCD Renormalization Scale-Setting
• Self-Consistency Requirements of the Renormalization Group for Setting the Renormalization Scale
• Experimental study of isovector spin sum rules
• QCD Sum Rule Calculation of Twist-4 Corrections to Bjorken and Ellis-Jaffe Sum Rules
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• Bjorken Sum Rule and pQCD frontier on the move
• Connecting the Hadron Mass Scale to the Fundamental Mass Scale of Quantum Chromodynamics
• The QCD Renormalization Group Equation and the Elimination of Fixed-Order Scheme-and-Scale Ambiguities Using the Principle of Maximum Conformality
• Nucleon spin structure and pQCD frontier on the move
• Four-loop QCD analysis of the Bjorken sum rule vs data
• 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
• QCD Power Corrections from a Simple Model for the Running Coupling
• Renormalization group analysis of the gluon mass equation
• Novel All-Orders Single-Scale Approach to QCD Renormalization Scale-Setting
• Reanalysis of the BFKL Pomeron at the next-to-leading logarithmic accuracy
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Analyticity and higher twists
• Degeneracy Relations in QCD and the Equivalence of Two Systematic All-Orders Methods for Setting the Renormalization Scale
• Sum Rules and Moments of the Nucleon Spin Structure Functions
• "Massive" Perturbative QCD, regular in the IR limit
• A novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the $C$-scheme coupling
• Extending the Predictive Power of Perturbative QCD
• Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet
• Renormalization of Twist-4 Operators in QCD Bjorken and Ellis-Jaffe Sum Rules
• On the Analytic "Causal" Model for the QCD Running Coupling
• The Importance of Proper Renormalization Scale-Setting for Testing QCD at Colliders
• Higher twists in polarized DIS and the size of the constituent quark
• The heavy quarkonium inclusive decays using the principle of maximum conformality
• Determination of the top-quark $\overline{\mathrm{MS}}$ running mass via its perturbative relation to the on-shell mass with the help of principle of maximum conformality
• Properties of the decay $H\to \gamma \gamma$ using the approximate ${\alpha }_s^4$-corrections and the principle of maximum conformality

Cited by in corpus (4)

• Novel and self-consistency analysis of the QCD running coupling ${\alpha }_s(Q)$ in both the perturbative and nonperturbative domains
• Evaluation of Bjorken polarised sum rule with a renormalon-motivated approach
• Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling
• Updated Determination of Ellis-Jaffe Sum Rules up to ${\mathrm{N}}^3\mathrm{LO}$ QCD corrections