Probing slepton signal at center of mass energy of 33 TeV in the compressed mass spectra

Although Standard Model, explaining elementary particles and their interactions, is one of the most successful theories, it is not a complete theory. One of its greatest flaws is that it cannot explain the existence of dark matter. In other words, there is no candidate for dark matter among the fundamental particles that make up the matter in the universe. While supersymmetry answers some other questions that the standard model cannot explain, in the minimal supersymmetric model where R parity is preserved, the lightest supersymmetric particle is a candidate for dark matter. Thus far, no traces of supersymmetry have been detected in data collected at CERN's Large Hadron Collider or at Fermilab's Tevatron, and these studies have set limits on the masses of supersymmetric particles. In this phenomenological study, the slepton signal produced in the proton-proton collision at center of mass of 33 TeV is probed in a final state with an ISR jet, two opposite sign-leptons and missing transverse momentum. The main objectives of this study are to separate the slepton signal from the standard model backgrounds, by optimizing the kinematic variables that increase the signal background ratio in the compressed scenario. As a result of the study, kinematic parameters and their optimum values were determined. In the light of these optimum values, with a data corresponding to $100 fb^{-1}$ luminosity, we show that a slepton signal with a mass of 235 GeV and LSP with a mass of 230 GeV could be observed with a signal significance of $7.4\sigma$.