Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-07-18
Phys.Rev.Lett. 97 (2006) 042001
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 2 figures, to appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.97.042001
We present in analytic form the matching conditions for the strong-coupling constant alpha_s^(n_f)(mu) at the flavor thresholds to four loops in the modified minimal-subtraction scheme. Taking into account the present knowledge on the coefficient beta_4 of the Callan-Symanzik beta function of quantum chromo-dynamics, we thus derive a five-loop formula for alpha_s^(n_f)(mu) together with appropriate relationships between the asymptotic scale parameters Lambda^(n_f) for different numbers of flavors n_f.
Kniehl Bernd A.
Kotikov Anatoly V.
Onishchenko Andrei I.
Veretin Oleg L.
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