Search for resonant double Higgs production with $bbZZ$ decays in the $b\bar{b} \ell\ell\nu\nu$ final state

A search for the resonant double Higgs boson production is performed using 2016 data collected with the CMS experiment at $\sqrt{s} = 13~\mathrm{TeV}$ corresponding to an integrated luminosity of 35.9 fb$^{-1}$. Events in which one Higgs boson decays to a pair of $b$ quarks, and the other Higgs boson to a pair of $Z$ bosons are studied. Decays to electron and muon pairs are selected to reconstruct an on-shell $Z$ boson, while the other $Z$ boson is allowed to be off-shell and required to decay to neutrinos: $X \to HH \to b\bar{b}ZZ^{*} \to b\bar{b} \ell\ell\nu\nu$. Limits are set on the resonant double Higgs boson production cross section for a resonance with a mass in the range from 250 to 1000 $\mathrm{GeV}$ for spin 0 and spin 2 hypotheses.