  This paper provides an overview of supersymmetry (SUSY) and the ongoing
efforts to detect SUSY particles at the Large Hadron Collider (LHC). SUSY
proposes corresponding "sparticles" for each Standard Model particle, with the
potential to resolve the hierarchy problem, identify dark matter, and unify
forces at high energy scales. We explore the key observables central to SUSY
searches at the LHC, such as effective mass ($M_{\text{eff}}$), scalar sum of
transverse momenta ($H_T$), and stransverse mass ($M_{T2}$)--each of which is
instrumental in distinguishing SUSY particles by their mass scales and decay
characteristics. The paper also discusses the challenges of differentiating
SUSY signals from Standard Model backgrounds, particularly in scenarios without
significant missing transverse momentum ($E_T^{\text{miss}}$).
  A critical aspect of these searches is achieving high signal purity while
effectively managing background detection. The LHC employs sophisticated
detection techniques to enhance the signal-to-noise ratio--crucial for
isolating genuine SUSY events from prevalent Standard Model processes such as
multijet productions, gauge bosons with jets, and top quark pairs. Through this
examination, the paper aims to illuminate the challenges and potential
breakthroughs in SUSY searches, assessing their broader implications for
fundamental physics.
