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This thesis presents the projection study of the Run 2 search for new physics in hadronic final states with boosted W bosons or top quarks using razor variables for High-Luminosity LHC and High-Energy LHC that experiment after the Hadron Large Collider. Data event yields and signal/background cross-sections from the 2016 analysis are scaled to obtain the HL-LHC and HE-LHC sensitivity for center-of-mass energies of 14 and 27 TeV and integrated luminosities of 3 and 15 ab$^{-1}$, respectively. Three different scenarios for systematic uncertainties are considered. The projection results are interpreted in terms of gluino pair production, where each gluino decays top-quark pair and a neutralino. Gluino pair production each gluino decays to a top quark, and a top squark decays to a charm quark and neutralino. Direct top squark pair production where each top squark decays to a top quark and a neutralino. These models are called T1tttt, T5ttcc, and T2tt. As a result of this study, the exclusion limit with gluino mass reaching up to 2.6 TeV and top squark mass up to 1.5 TeV for HL-LHC and least to above 3.5 TeV and least to above 2 TeV for HE-LHC. The discovery results in HL-LHC. The discovery limit with gluino mass reaching up to 2.35 TeV top squark mass up to 1.4 TeV for HL-LHC and above 3.5 TeV and above 2 TeV for HE-LHC.
Thesis Advisor: Prof. Sehwook Lee