Abstract
Supersymmetry (SUSY) is one of the forefront candidates for the models beyond the Standard Model (SM) in resolving the gauge hierarchy problem by proposing new supersymmetric partners for the SM fields. In SUSY, stop, the supersymmetric partner of top quark, is of a special importance, since it cancels the largest quadratic contributions to the Higgs boson mass from top quark loop. Despite heavy stop mass requirement from the Higgs boson searches and fine-tuning demands, it is still possible to find stops of mass about a few hundred GeV, even as light as top quark. In this study, we search for light stop solutions within the SUSY Grand Unified Theory (GUT) models in light of acceptable fine-tuning and current experimental constraints. Afterwards, we analyze the possible signals through which the implications can be tested at the Large Hadron Collider (LHC) experiments.
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