  Conversion-driven freeze-out is an appealing mechanism to explain the
observed relic density while naturally accommodating the null-results from
direct and indirect detection due to a very weak dark matter coupling.
Interestingly, the scenario predicts long-lived particles decaying into dark
matter with lifetimes favorably coinciding with the range that can be resolved
at the LHC. However, the small mass splitting between the long-lived particle
and dark matter renders the decay products soft, challenging current search
strategies. We consider four different classes of searches covering the entire
range of lifetimes: heavy stable charge particles, disappearing tracks,
displaced vertices, and missing energy searches. We discuss the applicability
of these searches to conversion-driven freeze-out and derive current
constraints highlighting their complementarity. For the displaced vertices
search, we demonstrate how a slight modification of the current analysis
significantly improves its sensitivity to the scenario.
