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Calculations for processes involving a high multiplicity of colouredparticles often employ a leading colour approximation, where only the leadingterms in the expansion of the number of colours $N_c$ and the number offlavours $n_f$ are retained. This approximation of the full colour result ismotivated by the $1/N_c^2$ suppression of the first subleading terms and by theincreasing complexity of including subleading colour contributions to thecalculation. In this work, we present the calculations using the antennasubtraction method in the NNLOJET framework for the NNLO QCD corrections atfull colour for several jet observables at the LHC. The single jet inclusivecross section is calculated doubly differential in transverse momentum andabsolute rapidity and compared with the CMS measurement at 13 TeV. Acalculation for dijet production doubly differential in dijet mass and rapiditydifference is also performed and compared with the ATLAS 7 TeV data. Lastly, atriply differential dijet cross section in average transverse momentum,rapidity separation and dijet system boost is calculated and compared with theCMS 8 TeV data. The impact of the subleading colour contributions to theleading colour approximation is assessed in detail for all three types ofobservables and as a function of the jet cone size. The subleading colourcontributions play a potentially sizable role in the description of the triplydifferential distributions, which probe kinematical configurations that are noteasily accessed by any of the other observables.

NNLO QCD corrections in full colour for jet production observables at the LHC