Higgs Doublet and Singlet Extensions of the Minimal Supersymmetric Standard Model and Charged Higgs Discoveries

The Minimal Supersymmetric Standard Model (MSSM) has been studied as a shining example of the success of supersymmetry in adding structure and control to the Higgs sector. Along with the MSSM, supersymmetry can be used to house more diverse and complex models to take advantage of the new experimental discoveries. Recent developments in collider physics with the 7 and 8 TeV runs of the Large Hadron Collider (LHC) have provided a window into the Higgs sector. The 5 sigma discovery of a Higgs-like boson was announced in July 2012 with the analysis of the combined luminosity of 10 inverse fb. To that end, we explore Higgs doublet and singlet extensions of the MSSM with the goal of identifying possible new signals in the charged Higgs sector that could differentiate these models from the MSSM. Taking a cue from research on Standard Model (SM) singlet additions to the MSSM, the accidental symmetries inherent in the addition of new fields are studied for the cases of purely doublet additions and for a mixture of singlets and doublets in addition to the MSSM particle content.;Such models predict additional charged Higgs bosons, which, if detectable at the LHC, are an important probe of this class of theories. Using the most recent LHC data, we investigate the general features of the Higgs sectors of these theories. We find that only a minimal corner of parameter space exists in which two charged Higgses can both be measured at the 14 TeV LHC with 300 inverse fb. Discovery of these models in the near future will require the investigation of additional decay modes of the charged Higgs..