A search for heavy resonances decaying into pairs of standard model Higgs bosons is performed using data from proton-proton collisions at a centre-of-mass energy of 13 TeV collected by the CMS experiment in 2016, and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The final state consists of both Higgs bosons decaying to b quark-antiquark pairs. For resonance masses above 1 TeV the Higgs bosons are Lorentz-boosted and each ${\rm H}\rightarrow{\rm b\overline{b}}$ is reconstructed as one hadronic jet. The signal is characterized as a peak over the invariant mass spectrum of dijet events from standard model multijet processes. The signal strengths for different assumptions of resonance masses are estimated by a combined likelihood fit of the background and the signal shapes to the data. The results are consistent with the standard model expectations, and are interpreted as upper limits on the $s$-channel production cross sections of narrow bulk gravitons and scalar radions in warped extra-dimensional models for resonance masses between 800 and 3000 GeV.

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