Bjorken polarized sum rule and infrared-safe QCD couplings

Experimental data obtained for the polarized Bjorken sum rule (BSR) Γ 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 MS ¯ scheme, Analytic Perturbation Theor...

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Published in:The European physical journal. C, Particles and fields Particles and fields, 2018-12, Vol.78 (12), p.1-25, Article 1002
Main Authors: Ayala, César, Cvetič, Gorazd, Kotikov, Anatoly V., Shaikhatdenov, Binur G.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Couplings
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Perturbation methods
Perturbation theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Singularities
String Theory
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description Experimental data obtained for the polarized Bjorken sum rule (BSR) Γ 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 MS ¯ scheme, Analytic Perturbation Theory (APT), and 2 δ and 3 δ 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 δ and 3 δ 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.
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subjects Astronomy
Astrophysics and Cosmology
Couplings
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Perturbation methods
Perturbation theory
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Singularities
String Theory
title Bjorken polarized sum rule and infrared-safe QCD couplings
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