  It is widely believed that fully hadronic final states are not competitive in
searches for new physics at the Large Hadron Collider due to the overwhelming
QCD backgrounds. In this letter, we present a particle-level study of the
topology arising when a TeV-scale resonance decays to two Higgs bosons and
these subsequently decay to $b\bar{b}$, leading to two back-to-back boosted
dijet systems. We show that selecting events with this topology dramatically
reduces all backgrounds, thus enabling very competitive searches for new
physics in a variety of models. For a resonance with mass 1 TeV and width
around 60 GeV, we find that ATLAS or CMS could have a sensitivity to a $\sigma
\times BR$ as small as a few fb with the LHC data collected in 2012. These
conclusions are also relevant to the boosted $Zh\rightarrow b\bar{b}b\bar{b}$
and $ZZ\rightarrow b\bar{b}b\bar{b}$ final states, which would further increase
the potential sensitivity to new physics as well as to Standard Model processes
like longitudinal vector boson scattering.
