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In this paper, we examine the strategies and prospects for distinguishingbetween traditional dark-matter models and models with non-minimal dark sectors--- including models of Dynamical Dark Matter (DDM) --- at hadron colliders.For concreteness, we focus on events with two hadronic jets and large missingtransverse energy at the Large Hadron Collider (LHC). As we discuss, simple"bump-hunting" searches are not sufficient; probing non-minimal dark sectorstypically requires an analysis of the actual shapes of the distributions ofrelevant kinematic variables. We therefore begin by identifying those kinematicvariables whose distributions are particularly suited to this task. However, aswe demonstrate, this then leads to a number of additional subtleties, sincecuts imposed on the data for the purpose of background reduction can at thesame time have the unintended consequence of distorting these distributions inunexpected ways, thereby obscuring signals of new physics. We therefore proceedto study the correlations between several of the most popular relevantkinematic variables currently on the market, and investigate how imposing cutson one or more of these variables can impact the distributions of others.Finally, we combine our results in order to assess the prospects fordistinguishing non-minimal dark sectors in this channel at the upgraded LHC.

Strategies for Probing Non-Minimal Dark Sectors at Colliders: The Interplay Between Cuts and Kinematic Distributions