Search for weak vector boson and gluon-gluon fusion production of heavy resonances decaying to $\mathrm{Z}(\nu\bar{\nu})\mathrm{V}(\mathrm{qq})$

A search is presented for heavy bosons decaying to $\mathrm{Z}(\nu\bar{\nu})\mathrm{V}(\mathrm{qq})$, where V can either be a Z or a W boson. A sample of proton-proton collisions at $\sqrt{s}=13~\mathrm{TeV}$ were collected by the CMS experiment during 2016, 2017, and 2018. The data correspond to an integrated luminosity of $137~\mathrm{fb}^{-1}$. Events are categorized using substructure techniques and the presence of large missing transverse momentum to identify W and Z bosons decaying to quarks and neutrinos, respectively. Events are also categorized based on the presence of high-momentum jets in the forward region to identify production through weak vector boson fusion. The dominant standard model backgrounds are estimated using data taken from control regions. The data are interpreted in terms of radions, W' bosons, and gravitons, all under the assumption that these bosons are produced in gluon-gluon fusion, $\mathrm{q}\bar{\mathrm{q}}$-annihilation, or weak vector boson fusion processes. No evidence is found for physics beyond the standard model, and $95\%$ confidence level upper limits are set on various types of hypothetical new bosons. Exclusion limits on the masses of these bosons range from $1.2~\mathrm{TeV}$ to $4.0~\mathrm{TeV}$.