| Summary: | In this thesis up-to-date global fits are presented of four benchmark models within the R-parity conserving Minimal Supersymmetric extension of the Standard Model (MSSM): the constrained MSSM (CMSSM) and two Non-Universal Higgs Mass (NUHM) models, for which soft supersymmetry-breaking input parameters are defined at the Grand Unified Theory (GUT) scale, as well as a 10-parameter phenomenological MSSM model (pMSSM10) for which the input parameters are defined at the MSUSY scale. These global fits take into account experimental constraints from flavour physics, electroweak precision observables, the anomalous magnetic dipole moment of the muon, cosmological constraints on the dark matter relic density, direct detection experiments for dark matter, properties of the Higgs boson, and searches for supersymmetric particles from Run 1 of the LHC with 20 fb−1 of proton proton collisions at √s = 8 TeV. This thesis contains a careful assessment of the impact of experimental constraints on the parameter spaces of the models. Predictions for physical observables and the corresponding prospects for future runs of the LHC, as well as other experiments, are discussed in detail. Novel features of the global fits of the CMSSM, NUHM1, and NUHM2 presented in this thesis include a comprehensive characterisation of the annihilation processes that bring the dark matter relic density in the cosmologically allowed range. The global fit of the pMSSM10 is the first global fit of a pMSSMn model that fully implements searches for supersymmetric particles from Run 1 of the LHC. The validation of these implementations is discussed in detail.
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