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

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

1997-06-20

arxiv.org/abs/hep-ph/9706430v1

Phys.Rev.Lett. 79 (1997) 2184-2187

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages (Latex), 3 figures (Postscript)

Scientific paper

10.1103/PhysRevLett.79.2184

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.

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