Search for a W' boson decaying to a vector-like quark and a top or bottom quark in the all-jets final state

A search for a heavy ${\mathrm{W}^\prime}$ resonance decaying to one ${\mathrm{B}}$ or ${\mathrm{T}}$ vector-like quark and either a top or bottom quark, respectively, is presented using proton-proton collision data collected in 2016 by the CMS detector at the LHC. Both decay channels result in a top quark, Higgs boson, and a b quark, each produced with significant energy. The high energy of the final state jets can be investigated with boosted heavy resonance identification techniques, which help suppress standard model backgrounds. The ${\mathrm{W}^\prime}$ decay channel to ${\mathrm{B}}$ and ${\mathrm{T}}$ is analyzed using the invariant mass of these boosted jets. The primary background in this final state is comprised uniquely of jets produced through the strong interaction, and is estimated from data using control regions based on inverting the boosted jet identification criteria. No significant deviations are observed, and cross section upper limits as a function of the ${\mathrm{W}^\prime}$ invariant mass are presented using 35.9$~\mathrm{fb}^{-1}$ of integrated luminosity.