====== TTP97-42 Massive Quark Production in Electron Positron Annihilation to Order  $\alpha_s^2$ ======
 
 
   <hidden TTP97-42  Massive Quark Production in Electron Positron Annihilation to Order  $\alpha_s^2$ > 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.
 
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|**K.G. Chetyrkin, A.H. Hoang, J.H. K\"uhn, M. Steinhauser and T. Teubner**  | 
|** Eur.Phys.J. C 2 137-150 1998  **  |
| {{preprints:1997:ttp97-42.pdf|PDF}} {{preprints:1997:ttp97-42.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9711327|arXiv]]   |
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