The standard model of particle physics is an extremely successful theory of fundamental interactions, but it has many known limitations. It is therefore widely believed to be an effective field theory that describes interactions near the TeV scale. A plethora of strategies exist to extend the standard model, many of which contain predictions of new particles or dynamics that could manifest in proton-proton collisions at the Large Hadron Collider (LHC). As of now, none have been observed, and much of the available phase space for natural solutions to outstanding problems is excluded. If new physics exists, it is therefore either heavy (i.e. above the reach of current searches) or hidden (i.e. currently indistinguishable from standard model backgrounds). We summarize the existing searches, and discuss future directions at the LHC. discrepancy in the anomalous magnetic moment of the muon (g-2) [48], and the strong CP problem [49][50][51]. Even further, there are open questions about long-standing observations, such as whether or not there is an extended Higgs sector [52], why there are multiple generations of fermions with a large mass hierarchy [32,[53][54][55], and why no magnetic monopoles are observed to exist [56]. For these reasons, the SM is considered to be an effective field theory, and that physics beyond the SM (BSM) should exist.There is no shortage of models to explain these elusive phenomenon, with varying degrees of complexity and explanatory power. One very popular group of theories to explain several of these phenomena involve supersymmetric (SUSY) extensions to the SM [12,13]. Many SUSY models contain a particle that only interacts very weakly with ordinary matter (the "lightest SUSY particle", or LSP), providing a simple DM candidate. At the same time, SUSY also attempts to address questions about the hierarchy problem, the nature of space-time, grand unified theories, and even string theory. For this reason, SUSY has long been held as a very attractive BSM physics model, because it can explain a wide range of phenomena with simple assumptions.Unfortunately, as of yet, no easily detectable signals have been observed at the LHC. This, in and of itself, is not necessarily a problem, because the scale of SUSY could always either be heavier than we can currently access, or exists in a region where the signals are hidden among SM backgrounds. The former case, however, limits the ability for SUSY to mitigate the hierarchy problem.The infrared divergences of the mass of the Higgs boson are only canceled if the masses of the SUSY particles are very close to their SM counterparts. This raises questions of whether or not the models themselves "naturally" explain the hierarchy problem. For the case of subtle signatures, of course, such questions of naturalness are less pressing, and can still preserve solutions to the hierarchy problem with a DM candidate.Despite those attractive theoretical features, there is really no a priori reason (other than our personal aesthetic) that one model should address all of ...