# TTP97-40 O(\alpha_s^2) Corrections to Top Quark Production at e^+e^- Colliders

TTP97-40 O(\alpha_s^2) Corrections to Top Quark Production at e^+e^- Colliders

TTP97-40 O(\alpha_s^2) Corrections to Top Quark Production at e^+e^- Colliders

In this article we evaluate mass corrections up to $O((m^2/q^2)^6)$ to the three-loop polarization function induced by an axial-vector current. Special emphasis is put on the evaluation of the singlet diagram which is absent in the vector case. As a physical application $O(\alpha_s^2)$ corrections to the production of top quarks at future $e^+e^-$ colliders is considered. It is demonstrated that for center of mass energies $\sqrt{s} >~ 500$ GeV the inclusion of the first seven terms into the cross section leads to a reliable description.

 R. Harlander and M. Steinhauser Eur. Phys. J. C 2 151-158 1998 PDF PostScript arXiv