Abstract
We consider QCD radiative corrections to the production of four charged leptons in hadron collisions. We present the computation of the next-to-leading order QCD corrections to the loop-induced gluon fusion contribution. Our predictions include, for the first time, also the quark-gluon partonic channels. The computed corrections, which are formally of mathcal{O}left({alpha}_{mathrm{S}}^3right) , turn out to increase the loop-induced Born-level result by an amount ranging from 75% to 71% as sqrt{s} ranges from 8 to 13 TeV. We combine our result with state-of-the-art NNLO corrections to the quark annihilation channel, and present updated predictions for fiducial cross sections and distributions for this process.
Highlights
An analogous situation is the one of W +W − production, for which NNLO QCD corrections [45, 46] to quark annihilation are available, and NLO QCD corrections to the loopinduced gluon fusion contribution were computed recently [47]
We introduce an approximation of the full N3LO corrections, denoted by “nNNLO”, which represents the most advanced perturbative QCD prediction available at present for this process
For the first time,quark-gluon partonic channels. We have combined these results with state-of-theart NNLO QCD corrections to the quark annihilation channel, yielding an approximation of the full N3LO QCD corrections for ZZ production, denoted by nNNLO
Summary
Diagram (c) is instead driven by gluon fusion through a quark loop, and it enters the calculation at NNLO as it is of O(αS2). This contribution is enhanced by the large gluon luminosity. The loopinduced gluon fusion contribution enters the cross section through the square of diagrams like the one in figure 1 (c) The fact that this O(αS2) contribution is quite large and formally only LO accurate motivates the inclusion of NLO corrections to the loop-induced gluon fusion channel, which are part of the N3LO corrections. Our approximation includes all contributions at O(αS2) together with the complete NLO corrections to the loop-induced gluon fusion channel at O(αS3). The NLO calculation is performed by using the Catani-Seymour dipole-subtraction method [74, 75] and with qT subtraction [53], which provides an additional cross-check of our results
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