%0 Journal Article %1 Chetyrkin1997Strong %A Chetyrkin, K. G. %A Kniehl, B. A. %A Steinhauser, M. %D 1997 %K alphas %T Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme %U http://arxiv.org/abs/hep-ph/9706430 %X We present in analytic form the matching conditions for the strong coupling constant alpha\_s^(n\_f)(mu) at the flavour thresholds to three loops in the modified minimal-subtraction scheme. Taking into account the recently calculated coefficient beta\_3 of the Callan-Symanzik beta function of quantum chromodynamics, we thus derive a four-loop formula for alpha\_s^(n\_f)(mu) together with appropriate relationships between the asymptotic scale parameters Lambda^(n\_f) for different numbers of flavours n\_f.

@article{Chetyrkin1997Strong, abstract = {{We present in analytic form the matching conditions for the strong coupling constant alpha\_s^(n\_f)(mu) at the flavour thresholds to three loops in the modified minimal-subtraction scheme. Taking into account the recently calculated coefficient beta\_3 of the Callan-Symanzik beta function of quantum chromodynamics, we thus derive a four-loop formula for alpha\_s^(n\_f)(mu) together with appropriate relationships between the asymptotic scale parameters Lambda^(n\_f) for different numbers of flavours n\_f.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Chetyrkin, K. G. and Kniehl, B. A. and Steinhauser, M.}, biburl = {https://www.bibsonomy.org/bibtex/29ce58f4c0978bc5fff15cb89c5c4f8f8/cmcneile}, citeulike-article-id = {9722944}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-ph/9706430}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-ph/9706430}, day = 20, eprint = {hep-ph/9706430}, interhash = {18c1c65d155d2f744af5164098773228}, intrahash = {9ce58f4c0978bc5fff15cb89c5c4f8f8}, keywords = {alphas}, month = jun, posted-at = {2011-08-28 15:29:37}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme}}, url = {http://arxiv.org/abs/hep-ph/9706430}, year = 1997 }