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We calculate a comprehensive set of spin correlations and differentialdistributions in top-quark pair production and decay to dilepton final states.This is the first time such a complete study is performed at next-to-next-toleading order in QCD. Both inclusive and fiducial distributions are presentedand analyzed. Good agreement between NNLO QCD predictions and data is found. Wedemonstrate that it is possible to perform high-precision comparisons offixed-order calculations with fiducial-level data. Subtleties of the top quarkdefinition are raised and clarified. Some of those are found to have a verysignificant impact on top-quark pair production at absolute threshold.

NNLO QCD corrections to leptonic observables in top-quark pair production and decay