  The production of pairs of Higgs bosons at hadron colliders provides unique
information on the Higgs sector and on the mechanism underlying electroweak
symmetry breaking (EWSB). Most studies have concentrated on the gluon fusion
production mode which has the largest cross section. However, despite its small
production rate, the vector-boson fusion channel can also be relevant since
even small modifications of the Higgs couplings to vector bosons induce a
striking increase of the cross section as a function of the invariant mass of
the Higgs boson pair. In this work, we exploit this unique signature to propose
a strategy to extract the $hhVV$ quartic coupling and provide model-independent
constraints on theories where EWSB is driven by new strong interactions. We
take advantage of the higher signal yield of the $b\bar b b\bar b$ final state
and make extensive use of jet substructure techniques to reconstruct signal
events with a boosted topology, characteristic of large partonic energies,
where each Higgs boson decays to a single collimated jet . Our results
demonstrate that the $hhVV$ coupling can be measured with 45% (20%) precision
at the LHC for $\mathcal{L}=$ 300 (3000) fb$^{-1}$, while a 1% precision can be
achieved at a 100 TeV collider.
