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Analytic properties of the QCD running coupling constant and τ decay

1995/06/19 by H. F. Jones, I. L. Solovtsov, I. S. Solovtsov +1 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/0370-2693(95)00914-7

published as Phys.Lett. B357 (1995) 441-445 · LaTeX, 11 pages

arxiv created 1995/06/19 · openalex publication_date 1995/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

A non-perturbative expansion method which gives a well-defined analytic continuation of the running coupling constant from the spacelike to the timelike region is applied to the inclusive semileptonic decay of the τ--lepton. The method allows us to evaluate Rτ by integration over the non-perturbative physical region, rather than by using Cauchy's theorem, and hence to incorporate threshold effects in a very direct way. Within our framework the difference between the effective coupling constants in the timelike and spacelike domains can be substantial and is not simply a matter of the standard π2 terms.

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