1997/06/20 by K.G. Chetyrkin, K. G. Chetyrkin, B. A. Kniehl +2 · 4 citations
Mathematics · Physics and Astronomy · #Arithmetic #Computer science #Constant (computer programming) #Coupling (piping) #Coupling constant #Dark Matter and Cosmic Phenomena #Flavor #Materials science #Mathematical analysis #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scheme (mathematics) #Statistical physics #Subtraction #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevlett.79.2184
published as Phys.Rev.Lett. 79 (1997) 2184-2187 · 10 pages (Latex), 3 figures (Postscript)
arxiv created 1997/06/20 · openalex publication_date 1997/09/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present in analytic form the matching conditions for the strong coupling constant \ensuremathαs^(nf)(\ensuremathμ) at the flavor thresholds to three loops in the modified minimal-subtraction scheme. Taking into account the recently calculated coefficient \ensuremathβ3 of the Callan-Symanzik beta function of quantum chromodynamics, we thus derive a four-loop formula for \ensuremathαs^(nf)(\ensuremathμ) together with appropriate relationships between the asymptotic scale parameters \ensuremathΛ^(nf) for different numbers of flavors nf.