2005/01/01 by A. L. Kataev · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Infrared #Matrix (chemical analysis) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Relation (database) #Renormalon #Simple (philosophy) #Sum rule in quantum mechanics #hep-ex #hep-ph
paper · pdf · doi:10.1134/1.2034588
published as JETP Lett.81:608-611,2005; Pisma Zh.Eksp.Teor.Fiz.81:744-747,2005 · 7 pages, LaTeX, minor misprints corrected, results unchanged, to be published in JETP Letters, vol 81, issue 12
openalex publication_date 2005/01/01 · arxiv created 2005/05/27 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is demonstrated that the infrared renormalon calculus indicates that the QCD theoretical expressions for the Gross-Llewellyn Smith sum rule and for the Bjorken polarized and unpolarized ones contain an identical negative twist-4 1/ Q 2 correction. This observation is supported by the consideration of the results of calculations of the corresponding twist-4 matrix elements. Together with the indication of the similarity of the perturbative QCD contributions to these three sum rules, this observation leads to simple new theoretical relations between the Gross-Llewellyn Smith and Bjorken polarized and unpolarized sum rules in the energy region Q 2 ≥ 1 GeV 2 . The validity of this relation is checked using concrete experimental data for the Gross-Llewellyn Smith and Bjorken polarized sum rules.