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Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme

B. A. Kniehl, A. V. Kotikov, A. I. Onishchenko, O. L. Veretin

hep-pharXiv:hep-ph/0607202

Abstract

We present in analytic form the matching conditions for the strong-coupling constant alphas(nf)(mu) at the flavor thresholds to four loops in the modified minimal-subtraction scheme. Taking into account the present knowledge on the coefficient beta4 of the Callan-Symanzik beta function of quantum chromo-dynamics, we thus derive a five-loop formula for alphas(nf)(mu) together with appropriate relationships between the asymptotic scale parameters Lambda(nf) for different numbers of flavors nf.

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