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We present a calculation of the next-to-leading order (NLO) QCD correctionsto gluon-induced electroweak gauge boson pair production, $gg \to ZZ$ and $gg\to W^+W^-$, matched to the PYTHIA8 parton shower in the POWHEG approach. Thecalculation consistently incorporates the continuum background, theHiggs-mediated $gg\to H^* \to VV$ process, and their interference. We considerleptonic decay modes of the massive vector bosons and retain offshell andnon-resonant contributions. The processes considered are loop-induced atleading order and thus contain two-loop virtual contributions as well asloop-squared real contributions. Parton-shower effects are found to be marginalin inclusive observables and quite sizeable in observables that are exclusivein additional jet radiation. The Monte Carlo generator presented here allowsfor realistic experimental effects to be incorporated in state-of-the-artprecision analyses of diboson production and of the Higgs boson in the offshellregime.

Four-lepton production in gluon fusion at NLO matched to parton showers