The Mu3e Tile Detector

The Mu3e experiment is designed to search for the lepton flavour violating decay μ→e⁺e⁺e^- with a sensitivity of one in 10¹⁶ decays. An observation of such a decay would be a clear sign of physics beyond the Standard Model. Achieving the targeted sensitivity requires a high precision detector with excellent momentum, vertex and time resolution. The Mu3e Tile Detector is a highly granular sub-detector system based on scintillator tiles with Silicon Photomultiplier (SiPM) readout, and aims at measuring the timing of the muon decay products with a resolution of better than 100 ps. This thesis describes the development of the Tile Detector concept and demonstrates the feasibility of the elaborated design. In this context, a comprehensive simulation framework has been developed, in order to study and optimise the detector performance. The central component of this framework is a detailed simulation of the SiPM response. The simulation model has been validated in several measurements and shows good agreement with the data. Furthermore, a 16-channel prototype of a Tile Detector module has been constructed and operated in an electron beam. In the beam tests, a time resolution up to 56 ps has been achieved, which surpasses the design goal. The simulation and measurement results demonstrate the feasibility of the developed Tile Detector design and show that the required detector performance can be achieved.