Fit to the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules in a renormalon based approach

Abstract

We study the large order behaviour in perturbation theory of the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules. In particular, we consider their first infrared renormalons, for which we obtain their analytic structure with logarithmic accuracy and also an approximate determination of their normalization constant. Estimates of higher order terms of the perturbative series are given. The Renormalon subtracted scheme is worked out for these observables and compared with experimental data. Overall, good agreement with experiment is found. This allows us to obtain {\hat a}_0 and some higher-twist non-perturbative constants from experiment: {\hat a}_0=0.141\pm 0.089; f_{3,RS}(1 GeV)=-0.124^{+0.137}_{-0.142} GeV^2.

23 pages, 18 figures, one reference added, journal version

References in corpus (4)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Experimental determination of the evolution of the Bjorken integral at low Q^2
• Global Analysis of Data on the Proton Structure Function g1 and Extraction of its Moments
• Infrared renormalons and the relations between the Gross-Llewellyn Smith and the Bjorken polarized and unpolarized sum rules

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• Superasymptotic and hyperasymptotic approximation to the operator product expansion
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments I: Renormalon-Free Gluon Condensate Scheme
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments II: Renormalon Norm and Application in ${\alpha }_s$ Determinations
• Infrared Freezing of Euclidean QCD observables
• Bjorken sum rule with hyperasymptotic precision
• Evaluation of Bjorken polarised sum rule with a renormalon-motivated approach
• 1/N_c and 1/n preasymptotic corrections to Current-Current correlators