Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-11-06
Phys.Lett. B442 (1998) 344-348
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages, LaTeX with psfig.sty, PostScript figure
Scientific paper
10.1016/S0370-2693(98)01224-6
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. \par By transforming the relevant QCD corrections up to the three-loop level into the "analytized" form we show that the $R_{AA}(s)$ expression thus obtained is remarkably stable (as compared to the conventional perturbative approach) with respect to the renormalization scheme dependence for the whole low-energy region.
Shirkov Dmitri V.
Solovtsov Igor L.
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