Studies of Models with Large Extra Dimensions in CMS

This thesis presents Monte Carlo studies of models with Large Extra Dimensions (LEDs) in the dimuon channel and their discovery potential with early data taken by the Compact Muon Solenoid, shortly CMS detector. LEDs are additional compactified spatial dimensions where only gravity can propergate into. The postulation of LEDs has been motivated by the fact that gravity had never been tested at distances shorter than a millimeter. Assuming LEDs, the fundamental scale of gravity decreases from the so called Planck Scale, M$_{Planck}$∼10$^{16}$ TeV to the Electroweak Scale, which is much lower at M$_{EW}$∼1TeV and thus solves the Hierarchy Problem. Although at former accelerators like LEP at CERN and Tevatron at Fermilab searches for LEDs have been performed, there has been no evidence of LEDs so far. Due to the significantly higher center of mass energies up to 14TeV at LHC compared to Tevatron and LEP, already early data of 100 pb−1 will extend the limits for parameter points, which have been inaccessible for the other two accelerators. The analysis shown in this thesis is a cut-based one, meaning that only rectangular cuts have been applied. The Monte Carlo simulations have been done using the multipurpose event-generation framework SHERPA (Simulation for High-Energy Reactions of PArticles) and afterwards the CMS Software (CMSSW) to get a full simulation of the CMS detector.