Extensive optimization of a simulation model for the electric dipole moment measurement at the cooler synchrotron COSY

The excess of matter in the known part of the universe still poses a puzzle to physics and cannot be explained by the Standard Model of particle physics. Many explanation attempts are based on mechanisms that violate CP symmetry. Such mechanisms exist in the Standard Model but are too weak to explain the observed asymmetry. Therefore, additional theories beyond the Standard Model are needed, which are mostly based on additional CP violating sources. Permanent Electrical Dipole Moments (EDMs) of elementary particles violate CP symmetry and are therefore a promising starting point for investigations of the underlying problem. EDMs of charged particles can be studied using storage rings as particle traps, where the polarization behavior of the beam in electric fields provides information about the size of the EDM. The JEDI (Jülich Electric Dipole moment Investigations) collaboration is specialized in the search for EDMs of hadrons using storage rings. It is engaged in design studies for dedicated storage rings for the investigation of protons and deuterons and uses the magnetic storage ring, the cooler synchrotron, COSY at Forschungszentrum Jülich for the first direct deuteron EDM experiment. In this experiment, an EDM leads to a vertical polarization buildup that is directly proportional to the size of the EDM. However, the vertical polarization component is also influenced by systematic effects such as magnet misalignments. In order to investigate systematic effects individually and to support the data analysis, a realistic simulation model is required. In this thesis the development of such a model based on the Bmad software library is presented. Furthermore, various systematic effects and their impact on the spin motion in COSY are investigated and quantified using tracking simulations. The consideration of measured magnet misalignments and their measurement errors results in a minimum resolvable EDM of d = 1.49 · 10${}^{-19}$ e · cm. For a more realistic description of the experimental situation, algorithms are implemented which fit the simulation model to the real conditions by variation of selected machine parameters. The algorithms are successfully tested by means of simulations and afterwards applied to measurement data. The fit results confirm additional magnetic displacements and lead overall to a significantly increased agreement between simulation model and reality.