Nonperturbative Power Corrections in α_s(q²) of Two-Loop Analytization Procedure

1999/06/09 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/9906304

12 pages, LATEX

arxiv created 1999/06/09 · openalex publication_date 1999/06/09 · arxiv updated 2009/11/30 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

The analytization procedure which allows one to remove nonphysical singularities of the QCD running coupling constant α_s(q²) in the infrared region is applied to standard as well as to iterative solutions of the two-loop renormalization group equation. Non-leading at large momentum nonperturbative contributions in α_s(q²) are obtained in an explicit form. The coefficients of nonperturbative contributions expansions in inverse powers of the squared Euclidean momentum are calculated. For both cases considered there appear convergent at q²>Λ² power series of negative terms with different dependence on term numbers.

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