The European Physical Journal C

ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)

Table of Contents

Abstract Volume 2 Issue 1 (1998) pp 151-158

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

R. Harlander (1) (*), M. Steinhauser (2)

(1) Institut für Theoretische Teilchenphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany
(2) Max-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 $\sqrt{s}\gsim500$ GeV the inclusion of the first seven terms into the cross section leads to a reliable description.

(*) Supported by the "Landesgraduiertenförderung" at the University of Karlsruhe

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Online publication: March 3, 1998
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