Search for Higgs boson decays to invisible particles produced in association with a top-quark pair or a vector boson in proton-proton collisions at \texorpdfstring{$\sqrt{s}=13~\mathrm{TeV}$} and combination across Higgs production modes

A search for Higgs boson decays to invisible particles, produced in association with a top quark pair or a vector boson decaying in a fully hadronic final state, has been performed using $138~\mathrm{fb^{-1}}$ of proton-proton collision data collected at $\sqrt{s}=13~\mathrm{TeV}$ by the CMS experiment at the LHC. Events are categorized based on jet multiplicity, the number of jets stemming from b quark decays as well as the number of hadronically decaying boosted top quarks and W bosons reconstructed as a single large-cone jet in the detector. The observed (expected) limit set on the invisible branching fraction of the $125~\mathrm{GeV}$ Higgs boson is 0.47$~$(0.40), assuming standard model production cross sections. Finally, the results of this analysis are combined with previous CMS measurements of the Higgs to invisible branching fraction carried out at $\sqrt{s}=7,~8,~$and $13~\mathrm{TeV}$ in complementary production modes. The combined limit on the branching fraction is 0.15$~$(0.08), the most stringent result from direct searches at CMS to date.