The study discussed in this thesis considers the hypothetical production of top squarks at hadron colliders, with the assumption that top squarks will always decay into top quarks and neutralinos of a small mass of approximately $0\,\mathrm{GeV}$. Targeting the dileptonic final states, the $\Delta{\phi}$ distribution between the two charged lepton final products in the laboratory frame are used to set limits on the production of top squarks of various masses. Limits are first derived from the results of the CMS measurement using $35.9\,\mathrm{ fb }$ of data recorded at the LHC in 2016, with a center of mass energy of $13\,\mathrm{TeV}$. Then, an extrapolation is made by scaling the 2016 data to a higher luminosity of $300\,\mathrm{fb^{-1}}$ and reducing the systematic uncertainties. It is shown that no exclusion on the top squark range can be made for the combination of a top squark mass range of $160\,\mathrm{GeV}$ to $300\,\mathrm{GeV}$ with a fixed small neutralino mass almost equal to zero.