The Interplay Between Natural and Accidental Supersymmetry
Brust, Christopher Peter
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In this thesis, we will explore the subject of the little hierarchy problem which plagues solutions to the big hierarchy problem of the Standard Model of particle physics. In the first half of this thesis, we study the theoretical framework for a supersymmetric resolution of the little hierarchy problem, known as natural supersymmetry, and argue that regions of the parameter space of this model have been missed by search strategies employed at the large hadron collider, but could be searched for with new search strategies. In the second half of this thesis, we explore the possibility of embedding natural supersymmetry in models of warped extra dimensions in order to UV-complete them by utilizing a mechanism known as accidental supersymmetry. We study the mechanism of accidental supersymmetry in the Randall-Sundrum framework by focusing on a toy model, and argue that accidental supersymmetry is capable solving the little hierarchy problem in that toy model. Finally, as models in the Randall-Sundrum framework themselves require UV completions, we demonstrate that it is possible to realize the mechanism of accidental supersymmetry within the UV-complete framework of type IIB superstring theory.