EPJ

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EPJ C - Particles and Fields
Particles and Fields
Eur. Phys. J. C 2, 151-158

$\bf{\cal O}(\alpha_s^2)$ corrections to top quark production at e+e- colliders

R. Harlander1 - M. Steinhauser2

1Institut für Theoretische Teilchenphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany
2Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, D-80805 Munich, Germany

Received: 20 October 1997

Abstract
In this article we evaluate mass corrections up to ${\cal O}((m^2/q^2)^6)$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 ${\cal O}(\alpha_s^2)$ corrections to the production of top quarks at future e+e- colliders are considered. It is demonstrated that for center of mass energies $\sqrt{s}\;\rlap{\lower 3.5 pt \hbox{$\mathchar \sim$}} \raise 1pt \hbox {$\gt$}\;500$ GeV the inclusion of the first seven terms into the cross section leads to a reliable description.

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