The Perturbative QCD Potential and the ttbar Threshold

Abstract

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.

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

References in corpus (1)

• Two-loop QCD corrections to the heavy quark pair production cross section in e+e- annihilation near the threshold

Cited by in corpus (12)

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• Are there short distance non-perturbative contributions to the QCD static potential?
• Surviving the renormalon in heavy quark potential
• Static QCD Potential at r < 1/Lambda_QCD: Perturbative expansion and operator-product expansion
• O(alpha_s^2) Corrections to e+e- to ttbar Total and Differential Cross Sections Near Threshold
• Determination of ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ and analytic parameterization of the static quark-antiquark potential
• ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential
• Power Counting and βFunction in NRQCD
• Quark-Antiquark Potential and Generalized Borel Transform