Top quark production near threshold: NNLO QCD correction

Abstract

We calculate the cross section of the process e^+e^- \to t\bar t near threshold by resumming Coulomb-like terms with next-to-next-to-leading (NNLO) accuracy. The nonrelativistic Green function formalism and the method of ``direct matching'' are used. The NNLO correction turns out to be large, of the same size as the NLO correction. It changes the position and the normalization of the 1S-peak. The obtained results are compared with results existing in the literature.

LaTeX, 12 pages, 4 ps figures, journal version

References in corpus (5)

• Two-loop Correction to the Leptonic Decay of Quarkonium
• The static potential in QCD - a full Two-Loop Calculation
• Two-loop QCD corrections to the heavy quark pair production cross section in e+e- annihilation near the threshold
• Top quark production at threshold with O(alpha_s^2) accuracy
• Perturbative O(alpha_s^2) Corrections to the Hadronic Cross Section Near Heavy Quark-Antiquark Thresholds in e+e- Annihilation

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