Muon Endcap Alignment for the CMS Experiment and Its Effect on the Search for $Z^\prime$ Bosons in the Dimuon Channel at LHC

The first 7 TeV proton-proton collisions produced by the LHC have been recorded by the CMS experiment in 2010. The CMS muon endcap alignment system succeeded in tracking muon detector movements of up to 18mm and rotations of a few milliradians under magnetic forces during the system com- missioning at full magnetic field in 2008. This dissertation describes in detail the reconstruction of chamber positions from alignment data. The system achieved chamber alignment precisions of 220 - 340 $\mu$m and 200 $\mu$rad. Systematic errors on displacements are estimated to be less than 500 $\mu$m. This dissertation describes the expected effect of muon misalignments on the search for $Z’ \to \mu^{+}\mu^{-}$ using fully reconstructed sets of simulated events of proton-proton collisions at $\sqrt{s}= 7 TeV$ with the CMS experiment. The simulation results show that the expected pT resolution for muons in the end-cap is about 14.4% (4.8%) with the startup (ideal) alignment scenario using a 1.2 TeV/c2 Z0 sample. The impact of systematic biases in the muon endcap po- sitions and rotations on the pT resolution is also studied and quantited. Using the Monte Carlo samples, the discovery potential for Sequential Standard Model $Z’_{SSM}$ with different muon misalignments and integrated luminosities is evaluated. A CMS detector better aligned than with the current startup alignment requires significantly less data. Preliminary results for dimuon events using $\sim 300 nb^{-1}$ of first collision data At $\sqrt{s} = 7 TeV$ with the CMS experiment are presented.