The study of top-quark production and decay is central in the LHC physics programme, allowing to test the Standard Model and offering a window on possible new physics. Precise theoretical predictions are crucial for these analysis.
In this talk, we report on a new calculation of the next-to-next-to-leading order QCD radiative corrections to the inclusive production of top-quark pairs at hadron colliders. The calculation is performed by using the $q_T$-subtraction formalism to handle and cancel infrared singular contributions at intermediate stages of the computation, and represents its first complete application to the hadroproduction of a colorful high-mass system at next-to-next-to-leading order. The numerical results are also presented and discussed.