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Results of a search for nonresonant production of Higgs boson pairs, witheach Higgs boson decaying to a $\mathrm{b\overline{b}}$ pair are presented.This search uses data from proton-proton collisions at a centre-of-mass energyof 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$,collected by the CMS detector at the LHC. No signal is observed, and a 95%confidence level upper limit of 847 fb is set on the cross section for standardmodel nonresonant Higgs boson pair production times the squared branchingfraction of the Higgs boson decay to a $\mathrm{b\overline{b}}$ pair. The samesignature is studied, and upper limits are set, in the context of models ofphysics beyond the standard model that predict modified couplings of the Higgsboson.

Search for nonresonant Higgs boson pair production in the $\mathrm{b\overline{b}b\overline{b}}$ final state at $\sqrt{s} =$ 13 TeV