On the role of the quark mass thresholds in extrapolations of the running α_s

Details On the role of the quark mass thresholds in extrapolations of the running α_s On the role of the quark mass thresholds in extrapolations of the running α_s

1995-01-12

arxiv.org/abs/hep-ph/9501289v1

Phys.Lett. B351 (1995) 325-330

Physics

High Energy Physics

High Energy Physics - Phenomenology

latex, 7 pages, 2 uuencoded figures

Scientific paper

10.1016/0370-2693(95)00384-W

The accuracy of the conventional treatment of quark mass thresholds in the QCD running coupling constant $\alpha_s$, based on the step approximation to the $\beta$--function, is investigated. The errors of extrapolating $\ase(\mu)$ from low energies to $\mu=M_Z$, implied by this approximation, are shown to be of the same magnitude as the typical next--to--next--to--leading order contributions to \as and tend to increase the resulting \as. The importance of the proper choice of matching points is emphasized.

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