Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
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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