QCD corrections to ZZ production in gluon fusion at the LHC

Abstract

We compute the next-to-leading order QCD corrections to the production of two Z-bosons in the annihilation of two gluons at the LHC. Being enhanced by a large gluon flux, these corrections provide distinct and, potentially, the dominant part of the N${}^3$LO QCD contributions to Z-pair production in proton collisions. The $gg\to ZZ$ annihilation is a loop-induced process that receives the dominant contribution from loops of five light quarks, that are included in our computation in the massless approximation. We find that QCD corrections increase the $gg\to ZZ$ production cross section by $\mathcal{O}(50\%-100\%)$ depending on the values of the renormalization and factorization scales used in the leading order computation, and the collider energy. The large corrections to $gg\to ZZ$ channel increase the $pp\to ZZ$ cross section by about six to eight percent, exceeding the estimated theoretical uncertainty of the recent NNLO QCD calculation.

18 pages, 2 tables, 3 figures

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