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We determine the O(\alpha_s) radiative corrections to polarized top quarkpair production in e+ e- -annihilations with a specified gluon energy cut. Wewrite down fully analytical results for the unpolarized and polarizedO(\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. Inthe soft gluon limit we recover the usual factorizing form known from the softgluon approximation. In the limit when the gluon energy cut takes its maximumvalue we recover the totally inclusive unpolarized and polarized cross sectionscalculated previously. We provide some numerical results on the cut-offdependence of the various polarized and unpolarized cross sections and discusshow the exact results numerically differ from the approximate soft-gluonresults.

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