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We obtain a soft plus virtual approximation to the NNLO QCD contributions tothe top-pair invariant mass distribution at hadron colliders. It is valid up tocorrections of order m_t^2/M^2, with M the pair invariant mass. This iscurrently the most complete QCD calculation for a differential cross section intop-quark pair production, and is useful for describing the high invariant massregion characteristic of boosted top quarks. We use our results to construct animproved NNLO approximation for the pair invariant mass distribution andcompare it with previous, less complete approximations based on logarithmicterms from NNLL soft-gluon resummation alone. We find that the new NNLOapproximation produces moderate enhancements of the differential cross sectioncompared to previous ones, the effect being slightly more important at lowvalues of invariant mass than at high ones. On the other hand, at high valuesof invariant mass the new NNLO corrections are dominated by even higher-ordereffects included in NNLL soft-gluon resummation, reaffirming the need forresummation in describing the highly boosted regime.

Top-quark pair production at high invariant mass: an NNLO soft plus virtual approximation