Analytical results for O(α_s) radiative corrections to e+ e- -> tbar t(pol.) up to a given gluon energy cut

Abstract

We determine the O(α_s) radiative corrections to polarized top quark pair production in e+ e- -annihilations with a specified gluon energy cut. We write down fully analytical results for the unpolarized and polarized O(α_s) cross sections e+ e- -> tbar t (G) and e+ e- -> tbar t(pol.) (G) including their polar orientation dependence relative to the beam direction. In the soft gluon limit we recover the usual factorizing form known from the soft gluon approximation. In the limit when the gluon energy cut takes its maximum value we recover the totally inclusive unpolarized and polarized cross sections calculated previously. We provide some numerical results on the cut-off dependence of the various polarized and unpolarized cross sections and discuss how the exact results numerically differ from the approximate soft-gluon results.

arXiv comment49 pages in LaTeX, including 17 encapsulated PostScript figures

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Cited by in corpus (4)

• A survey of top quark polarization at a polarized linear e^+ e^- collider
• Fully analytical O(α_s) results for on-shell and off-shell polarized W-boson decays into massive quark pairs
• Analytical $O({\alpha }_s)$ corrections to the beam frame double-spin density matrix elements of $e^{+}{e}^{-}\to t\bar{t}$
• The anomalous $Wtb$ vertex and top-pair production at the LHC