Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-03-13
Phys.Lett. B486 (2000) 100-110
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, 2 eps-figures, revtex; presentation clearer and tightened; an inadvertently included obsolete curve in Fig.2 replace
Scientific paper
10.1016/S0370-2693(00)00751-6
Previously developed Pade-related method of resummation for QCD observables, which achieves exact renormalization-scale-invariance, is extended so that the scheme-invariance is obtained as well. The dependence on the leading scheme parameter $c_2$ is eliminated by a variant of the method of the principle of minimal sensitivity. The subleading parameter $c_3$ in the approximant is then fixed in such a way that the correct known location of the leading infrared renormalon pole is reproduced. Thus, $beta$-functions which go beyond the last perturbatively calculated order in the observable are used. The $\beta$-functions in the approximant are quasianalytically continued by Pade approximants. Two aspects of nonperturbative physics are accounted for in the presented resummation: a mechanism of quasianalytic continuation from the weak- into the strong-coupling regime, and the (approximant-specific) contribution of the leading infrared renormalon. The case of the Bjorken polarized sum rule is considered as a specific example of how the method works.
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