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

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

2008-11-17

arxiv.org/abs/0811.2728v2

Physical Review D80(3) (2009) 034001

Physics

High Energy Physics

High Energy Physics - Phenomenology

49 pages in LaTeX, including 17 encapsulated PostScript figures

Scientific paper

10.1103/PhysRevD.80.034001

We determine the O(\alpha_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(\alpha_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.

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