  In ongoing and upcoming hadron collider experiments, top quark physics will
play an important role in testing the Standard Model and its possible
extensions. In this work we present analytic results for the differential cross
sections of top quark pair production in hadronic collisions at next-to-leading
order in the QCD coupling, keeping the full dependence on the spins of the top
quarks. These results are combined with the corresponding next-to-leading order
results for the decay of polarized top quarks into dilepton, lepton plus jets,
and all jets final states. As an application we predict double differential
angular distributions which are due to the QCD-induced top quark spin
correlations in the intermediate state. In addition to the analytic results, we
give numerical results in terms of fit functions that can easily be used in an
experimental analysis.
