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Supervisor's Foreword; Abstract; Acknowledgements; Contents; 1 Introduction; 1.1 The Standard Model; 1.2 Problems with the Standard Model; 1.3 Going Beyond the Standard Model; 1.3.1 Effective Field Theories; 1.3.2 Supersymmetry; 1.4 Where to Look for BSM Physics; References; 2 Multiple Higgs and Vector Boson Production; 2.1 Overview; 2.2 Multiparticle Cross Sections and Unitarity; 2.3 Naive Estimates of Unitarity Violation; 2.4 Anomalous Higgs Couplings and Partial Unitarisation; 2.5 Sensitivity of 2rightarrow3, 4 Cross Section to Anomalous Couplings

2.6 Cross Sections in the SM with Anomalous Higgs Couplings2.7 Impact of Multiparticle Production at the LHC and Future Colliders; 2.8 Conclusion; References; 3 VLVL toVLVL Scattering as a Model Independent Probe of the Higgs Coupling to Vector Bosons; 3.1 Motivation; 3.2 Recent Developments; 3.3 Goal of Study; 3.4 Analysis at the VV toVV Level; 3.5 LHC Sensitivity to Longitudinal Vector Boson Scattering and Higgs Boson Couplings to Gauge Bosons; 3.6 Conclusions; References; 4 Supersymmetric Higgs; 4.1 Overview; 4.2 MSSM Setup and the Parameter Space

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