Renormalization scheme dependence in analytic approach to perturbative QCD

We further develop the approach recently used to construct an analytic ghost-free model for the QCD running coupling based on the requirement of the Q 2-analyticity and apply it to the process of e + e − annihilation into hadrons to study the renormalization scheme dependence of the R( s) cross-sect...

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Bibliographic Details
Published in:Physics letters. B 1998-12, Vol.442 (1), p.344-348
Main Authors: Solovtsov, I.L., Shirkov, D.V.
Format: Article
Language:English
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Summary:We further develop the approach recently used to construct an analytic ghost-free model for the QCD running coupling based on the requirement of the Q 2-analyticity and apply it to the process of e + e − annihilation into hadrons to study the renormalization scheme dependence of the R( s) cross-section ratio. By transforming the relevant QCD corrections up to the three-loop level into the “analytized” form we show that the R an( s) expression thus obtained is remarkably stable (as compared to the conventional perturbative approach) with respect to the renormalization scheme and higher loop dependence for the whole low-energy region. At the same time, the analytic approach provides a good agreement with smeared experimental data already in the first (loop) approximation.
ISSN:0370-2693
1873-2445
DOI:10.1016/S0370-2693(98)01224-6