Analytical results for $e^{+}{e}^{-}\to t\bar{t}$ and $\gamma \gamma \to t\bar{t}$ observables near the threshold up to the next-to-next-to-leading order of NRQCD

Abstract

We present an analytical description of top-antitop pair production near the threshold in $e^{+}{e}^{-}$ annihilation and $\g\g$ collisions. A set of basic observables considered includes the total cross sections, forward-backward asymmetry and top quark polarization. The threshold effects relevant for the basic observables are described by three universal functions related to S wave production, P wave production and S-P interference. These functions are computed analytically up to the next-to-next-to-leading order of NRQCD. The total $e^{+}{e}^{-}\to t\bar{t}$ cross section near the threshold is obtained in the next-to-next-to-leading order in the closed form including the contribution due to the axial coupling of top quark and mediated by the Z-boson. The effects of the running of the strong coupling constant and of the finite top quark width are taken into account analytically for the P wave production and S-P wave interference.

46 pages LaTeX, editorial changes

References in corpus (2)

• Top Quark Pair Production close to Threshold: Top Mass, Width and Momentum Distribution
• Ultrasoft Effects in Heavy-Quarkonium Physics

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