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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 2 Issue 1 (1998) pp 137-150
theoretical physics:
Massive quark production in electron positron annihilation to order $\alpha_s^2$
K.G. Chetyrkin (1)(2), A.H. Hoang (3), J.H. Kühn (1), M. Steinhauser (4), T. Teubner (5)
(1) Institut für Theoretische Teilchenphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany
(2) Institute for Nuclear Research, Russian Academy of Sciences, Moscow 117312, Russia
(3) Department of Physics, University of California, San Diego, La Jolla, CA 92093-0319, USA
(4) Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, D-80805 Munich, Germany
(5) Deutsches Elektronen-Synchrotron DESY, D-22603 Hamburg, Germany
Received: 12 November 1997
Abstract. Recent analytical and numerical results for the three-loop polarization function allow to present a phenomenological analysis of the cross section for massive quark production in electron positron annihilation to order $\alpha_s^2$. Numerical predictions based on fixed order perturbation theory are presented for charm and bottom production above 5 and 11.5 GeV, respectively. The contribution from these energy regions to $\alpha(M_Z^2)$, the running QED coupling constant at scale $M_Z$, are given. The dominant terms close to threshold, i.e. in an expansion for small quark velocity $\beta$, are presented.
The complete postscript file of this preprint, including figures, is available via anonymous ftp at www-ttp.physik.uni-karlsruhe.de (129.13.102.139) as /ttp97-42/ttp97-42.ps or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints
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Online publication: March 3, 1998
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