Abstract

We report on a new fully differential calculation of the next-to-next-to-leading-order (NNLO) QCD radiative corrections to the production of top-quark pairs at hadron colliders. The calculation is performed by using the qT subtraction formalism to handle and cancel infrared singularities in real and virtual contributions. The computation is implemented in the Matrix framework, thereby allowing us to efficiently compute arbitrary infrared-safe observables for stable top quarks. We present NNLO predictions for several single- and double-differential kinematical distributions in pp collisions at the centre-of-mass energy sqrt{s}=13 TeV, and we compare them with recent LHC data by the CMS collaboration.

Highlights

  • We report on a new fully differential calculation of the next-to-next-to-leadingorder (NNLO) QCD radiative corrections to the production of top-quark pairs at hadron colliders

  • In this paper we have presented a new fully differential NNLO calculation of top-quark pair production at hadron colliders

  • The calculation is carried out by using the qT subtraction formalism to handle IR divergences from real and virtual contributions, and it is implemented in the Matrix framework

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Summary

Calculation within the MATRIX framework

Our fully differential NNLO computation of ttproduction is carried out within the Matrix [72] framework. According to the qT subtraction method, the NNLO differential cross section dσNttNLO for the production process pp → tt+ X can be written as dσNttNLO = HNttNLO ⊗ dσLttO + dσNttL+Ojet − dσNttN, CLTO ,. In the flavour off-diagonal channels the process-dependent contributions to HNttNLO involve only amplitudes of the partonic processes qq → ttand gg → ttup to the one-loop level, and the explicit results on the NLO azimuthal-correlation terms in the transverse-momentum resummation formalism [78]. The result with the lowest χ2/degrees-of-freedom value is taken as the best fit, while the remaining results are used to estimate the extrapolation uncertainty In addition to this analysis at the level of the total cross section, we have performed a similar bin-wise extrapolation in the computation of differential cross sections. We find that the results are in good agreement with those obtained by directly using a sufficiently low value of rcut (rcut 0.15%)

Results
Single-differential distributions
Double-differential distributions
Summary and outlook
A Comparison with existing results
Full Text
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