TY - GEN Y1 - 2018/// A1 - Perrevoort, Ann-Kathrin ID - heidok24585 AV - public UR - https://archiv.ub.uni-heidelberg.de/volltextserver/24585/ N2 - The upcoming Mu3e experiment aims to search for the lepton flavour violating decay mu+->e+e-e+ with a final sensitivity of one signal decay in 10^16 muon decays. As this decay is forbidden in the Standard Model of particle physics, an observation would be a clear indication for New Physics beyond the Standard Model. The ambitious sensitivity goal imposes several challenges on the experiment, among which a high track and data rate. In the context of this thesis, an on-line algorithm for hit sorting by time stamp is developed as part of the firmware of the pixel detector front-end. System integration tests in test beam measurements with pixel sensor prototypes yield data transfer efficiencies in excess of 99.95% and demonstrate the suitability of the concept for the data acquisition system of Mu3e. The feasibility of background-free mu->eee searches in the first phase of the experiment is confirmed in detailed simulation studies. A single event sensitivity to the signal decay of 2.3*10^-15 is estimated - an improvement by more than two orders of magnitude compared to existing limits. In addition, a model-independent effective field theory approach is developed and used to estimate the sensitivity for different New Physics interactions. Furthermore, the physics programme of the experiment is expanded by exploring two additional processes involving New Physics: lepton flavour violating two-body decays of the muon and muon decays with promptly decaying dark photons. For both channels, it is shown that a highly competitive sensitivity can be achieved. This work thus highlights the unique possibilities of New Physics searches with rare muon decays in the Mu3e experiment. TI - Sensitivity Studies on New Physics in the Mu3e Experiment and Development of Firmware for the Front-End of the Mu3e Pixel Detector ER -