  Supersymmetry is a prime candidate for physics beyond the Standard Model
because low-energy supersymmetry stabilizes the Higgs mass avoiding fine-tuning
and leads to natural electroweak symmetry breaking. However, searches at the
Large Hadron Collider (LHC) for supersymmetric particles have not found any
signal and give strong limits on mass of gluino and squark. Also, the observed
Higgs mass of 125 GeV is not easily accommodated in the minimal supersymmetric
Standard Model (MSSM) where one has to rely on the radiative corrections to
boost the Higgs mass accompanied with fine-tuning. I study aspects of
supersymmetry in light of these LHC results. In this thesis, I focus on the
Compact Supersymmetry model based on arXiv:1206.4993 and the Dirac Next-to-MSSM
based on arXiv:1308.0792 and investigate them in more detail.
