A multi-dimensional search for new heavy resonances decaying to boosted $$\text{ W }{}{}$$W $$\text{ W }{}{}$$W , $$\text{ W }{}{}$$W $$\text{ Z }{}{}$$Z , or $$\text{ Z }{}{}$$Z $$\text{ Z }{}{}$$Z boson pairs in the dijet final state at 13 $$\text {Te}\text {V}$$Te

A search in an all-jet final state for new massive resonances decaying to $$\text{ W }{}{}$$ $$\text{ W }{}{}$$, $$\text{ W }{}{}$$ $$\text{ Z }{}{}$$, or $$\text{ Z }{}{}$$ $$\text{ Z }{}{}$$ boson pairs using a novel analysis method is presented. The analysis is performed on data corresponding to an integrated luminosity of 77.3 $$\,\text {fb}^{-1}$$ recorded with the CMS experiment at the LHC at a centre-of-mass energy of 13 $$\text {Te}\text {V}$$. The search is focussed on potential narrow-width resonances with masses above 1.2 $$\text {Te}\text {V}$$, where the decay products of each $$\text{ W }{}{}$$ or $$\text{ Z }{}{}$$ boson are expected to be collimated into a single, large-radius jet. The signal is extracted using a three-dimensional maximum likelihood fit of the two jet masses and the dijet invariant mass, yielding an improvement in sensitivity of up to 30% relative to previous search methods. No excess is observed above the estimated standard model background. In a heavy vector triplet model, spin-1 $${\text {Z}}^{\prime }$$ and $${\text {W}}^{\prime }$$ resonances with masses below 3.5 and 3.8  $$\text {Te}\text {V}$$, respectively, are excluded at 95% confidence level. In a bulk graviton model, upper limits on cross sections are set between 27 and 0.2 $$\,\text {fb}$$ for resonance masses between 1.2 and 5.2  $$\text {Te}\text {V}$$, respectively. The limits presented in this paper are the best to date in the dijet final state.