O(α_s^2) Corrections to Top Quark Production at $e^+e^-$ Colliders

Details O(α_s^2) Corrections to Top Quark Production at $e^+e^-$ Colliders O(α_s^2) Corrections to Top Quark Production at $e^+e^-$ Colliders

1997-10-20

arxiv.org/abs/hep-ph/9710413v1

Eur.Phys.J.C2:151-158,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 13 pages, 10 figures included as ps-files. The complete paper, including figures, is also available via anonymous ftp a

Scientific paper

10.1007/s100520050129

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.

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