  In many extensions of the Standard Model the Higgs boson can decay into two
light scalars each of which then subsequently decay into two photons. The
underlying event is h $\to$ 4$\gamma$, but the kinematics from boosted light
scalar decays combined with realistic detector resolutions may fail to register
the events in straightforward categories and thus may be lost. In this article
we investigate the phase space for highly boosted di-photon events from these
exotic Higgs decays and discuss search strategies that aim to capture and label
events in this difficult region. In the process we develop a new category,
$\xi$-jets, which identifies with high selectivity highly collimated di-photon
decay modes of the Higgs boson.
