Strong-coupling constant with flavor thresholds at five loops in the modified minimal-subtraction scheme

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 c...

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Bibliographic Details
Published inPhysical review letters Vol. 97; no. 4; p. 042001
Main Authors Kniehl, B A, Kotikov, A V, Onishchenko, A I, Veretin, O L
Format Journal Article
LanguageEnglish
Published United States 28.07.2006
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Summary: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 chromodynamics, we thus derive a five-loop formula for alphas(nf) (mu) together with appropriate relationships between the asymptotic scale parameters Lamda(nf) for different numbers of flavors nf.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.97.042001