Accelerated convergence of perturbative QCD by optimal conformal mapping of the Borel plane

Details Accelerated convergence of perturbative QCD by optimal conformal mapping of the Borel plane Accelerated convergence of perturbative QCD by optimal conformal mapping of the Borel plane

1998-11-17

arxiv.org/abs/hep-ph/9811367v1

Phys.Rev. D60 (1999) 054014

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 3 figures

Scientific paper

10.1103/PhysRevD.60.054014

The technique of conformal mappings is applied to enlarge the convergence of the Borel series and to accelerate the convergence of Borel-summed Green functions in perturbative QCD. We use the optimal mapping, which takes into account the location of all the singularities of the Borel transform as well as the present knowledge about its behaviour near the first branch points. The determination of \alpha_{s}(m_{\tau}) from the hadronic decay rate of the \tau-lepton is discussed as an illustration of the method.

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