Exploring natural supersymmetry at the LHC

Date
2014
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University of Delaware
Abstract
This dissertation demonstrates how a variety of supersymmetric grand unified theories can resolve the little hierarchy problem in the minimal supersymmetric standard model and also explain the observed deviation in the anomalous magnetic moment of the muon. The origin of the little hierarchy problem lies in the sensitive manner in which the Z boson mass depends on parameters that can be much larger than its mass. Large values of these parameters imply that a large fine tuning is required to obtain the correct Z boson mass. With large fine tuning supersymmetry appears unnatural which is why models that attempt to resolve this problem are referred to as natural SUSY models. We show that a possible way to exhibit natural supersymmetry is to assume non-universal gauginos in a class of supersymmetric grand unified models. We further show that considering non-universal gauginos in a class of supersymmetric models can help explain the apparent anomaly in the magnetic moment of the muon.
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