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On dependence of nonperturbative contributions in αs(q2) on an initial approximation of perturbation theory in an analytic approach to QCD

2000/11/14 by Aleksey I. Alekseev, A. I. Alekseev, Alekseev, Aleksey I.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0011178

8 pages, LATEX, 1 Table. Talk presented at the XV International Workshop on High Energy Physics and Quantum Field Theory (QFTHEP'00), Sept. 14 -- 20, 2000, Tver, Russia

arxiv created 2000/11/14 · openalex publication_date 2000/11/14 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In the framework of analytic approach to QCD, which has been recently intensively developed, the dependence of nonperturbative contributions in a running coupling of strong interaction on initial perturbative approximation to 3-loop order is studied. The nonperturbative contributions are obtained in an explicit form. In the ultraviolet region they are shown to be represented in the form of the expansion in the inverse powers of Euclidean momentum squared. The expansion coefficients are calculated for different numbers of active quark flavors nf and for different numbers of loops taken into account. For all nf of interest it is shown that 2-loop order and 3-loop order corrections result in partial compensation of 1-loop order leading in the ultraviolet region nonperturbative contribution.

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