Next-to-next-to-leading order QCD predictions for single-, double- and even
triple-differential distributions of jet events in proton-proton collisions
have recently been obtained using the NNLOjet framework based on antenna
subtraction. These results are an important input for Parton Distribution
Function fits to hadron-collider data. While these calculations include all of
the partonic channels occurring at this order of the perturbative expansion,
they are based on the leading-color approximation in the case of channels
involving quarks and are only exact in color in the pure-gluon channel. In the
present publication, we verify that the sub-leading color effects in the
single-jet inclusive double-differential cross sections are indeed negligible
as far as phenomenological applications are concerned. This is the first
independent and complete calculation for this observable. We also take the
opportunity to discuss the necessary modifications of the sector-improved
residue subtraction scheme that made this work possible