On an asymptotic estimate of the $n$-loop correction in perturbative QCD

Details On an asymptotic estimate of the $n$-loop correction in perturbative QCD On an asymptotic estimate of the $n$-loop correction in perturbative QCD

1992-10-15

arxiv.org/abs/hep-ph/9210237v1

Phys.Rev. D47 (1993) 2578-2587

Physics

High Energy Physics

High Energy Physics - Phenomenology

PRA-HEP-92/17, Latex, 20 pages of text plus 5 figures contained in 5 separate PS files. Four of them (corresponding to Figs.1,

Scientific paper

10.1103/PhysRevD.47.2578

A recently proposed method of estimating the asymptotic behaviour of QCD perturbation theory coefficients is critically reviewed and shown to contain numerous invalid mathematical operations and unsubstantiated assumptions. We discuss in detail why this procedure, based solely on renormalization group (RG) considerations and analyticity constraints, cannot lead to such estimates. We stress the importance of correct renormalization scheme (RS) dependence of any meaningful asymptotic estimate and argue that the unambiguous summation of QCD perturbation expansions for physical quantities requires information from outside of perturbation theory itself.

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