  The Higgs field in the standard model (SM) may couple to new physics sectors
related with dark matter and/or massive neutrinos. In this paper we propose a
novel signature, the boosted di-Higgs boson plus \ET (which is either a dark
matter or neutrino), to probe those new physics sectors. In a large class of
models, in particular the supersymmetric SMs and low scale seesaw mechanisms,
this signature can play a key role. The signature has clear background, and at
the $\sqrt s=$14 TeV high luminosity (HL-)LHC, we can probe it with production
rate as low as $\sim$ 0.1 fb. We apply it to benchmark models, supersymmetry in
the bino-Higgsino limit, the canonical seesaw model and little Higgs model,
finding that masses of Higgsino, right-handed neutrino and heavy vector boson
can be probed up to $\sim$ 500 GeV, 650 GeV and 900 GeV, respectively.
