Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
K. G. Chetyrkin, B. A. Kniehl, M. Steinhauser
Abstract
We present in analytic form the matching conditions for the strong coupling constant alphas(nf)(mu) at the flavour thresholds to three loops in the modified minimal-subtraction scheme. Taking into account the recently calculated coefficient beta3 of the Callan-Symanzik beta function of quantum chromodynamics, we thus derive a four-loop formula for alphas(nf)(mu) together with appropriate relationships between the asymptotic scale parameters Lambda(nf) for different numbers of flavours nf.
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