Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-05-24
Phys.Lett. B313 (1993) 441-446
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages and 2 postscript figures added after the TeX file, LaTeX, CERN-TH.6899/93
Scientific paper
10.1016/0370-2693(93)90016-B
The use of MS-like renormalization schemes in QCD requires an implementation of nontrivial matching conditions across thresholds, a fact often overlooked in the literature. We shortly review the use of these matching conditions in QCD and check explicitly that the prediction for $\alpha_s(M_Z)$, obtained by running the strong coupling constant from the $M_\tau$ scale, does not substantially depend on the exact value of the matching point chosen in crossing the $b$-quark threshold when the appropriate matching conditions are taken into account.
Rodrigo German
Santamaria Arcadi
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