The Perturbative QCD Potential and the ttbar Threshold

Details The Perturbative QCD Potential and the ttbar Threshold The Perturbative QCD Potential and the ttbar Threshold

1998-02-20

arxiv.org/abs/hep-ph/9802373v1

Phys.Rev. D58 (1998) 014006

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, LaTeX. Improved version of hep-ph/9801419 for submission to a journal

Scientific paper

10.1103/PhysRevD.58.014006

We include the full second-order corrections to the static QCD potential in the analysis of the ttbar threshold cross section. There is an unexpectedly large difference between the QCD potential improved by the renormalization-group equation in momentum space and the potential improved by the renormalization-group equation in coordinate space. This difference remains even at a fairly short distance 1/r \simeq 100 GeV and its origin can be understood within perturbative QCD. We scrutinize the theoretical uncertainties of the QCD potential in relation to the ttbar threshold cross section. In particular there exists a theoretical uncertainty which limits our present theoretical accuracy of the ttbar threshold cross section at the peak to be not better than 6% within perturbative QCD.

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