  We discuss how systems with a large number of degrees of freedom and disorder
in their mass matrix can play a role in particle physics. We derive results on
their mass spectra using, where applicable, QFT techniques. We study concrete
realizations of these scenarios in the context of the LHC and HL-LHC, showing
that collider events with a large number of soft b-quark jets can be common.
Such final states can hide these models from current searches at the LHC. This
motivates the ongoing effort aimed at lowering trigger thresholds and expanding
data scouting.
