Discrete symmetries in the MSSM [Elektronische Ressource] / Roland Schieren

TECHNISCHEUNIVERSITÄTMÜNCHENPhysik-DepartmentInstitutfürTheoretischePhysikT30eUniv.-Prof. Dr. MichaelRatzDiscreteSymmetriesintheMSSMRolandSchierenVollständiger Abdruck der von der Fakultät für Physik der Technischen Universität MünchenzurErlangungdesakademischenGradeseinesDoktorsderNaturwissenschaften(Dr. rer. nat.)genehmigtenDissertation.Vorsitzender: Univ.-Prof. Dr. LotharOberauerPrüferderDissertation: 1. Univ.-Prof. Dr. MichaelRatz2. Univ.-Prof. Dr. AlejandroIbarraDieDissertationwurdeam4.November2010beiderTechnischenUniversitätMüncheneinge-reichtunddurchdieFakultätfürPhysikam2.Dezember2010angenommen.Abstract:Theuseofdiscretesymmetries,especiallyabelianones,inphysicsbeyondthestandardmodelof particle physics is discussed. A method is developed how a general, abelian, discrete sym-metrycanbeobtainedviaspontaneoussymmetrybreaking. Inaddition,anomaliesaretreatedin the path integral approach with special attention to anomaly cancellation via the Green-Schwarz mechanism. All this is applied to the minimal supersymmetric standard model. ARunique symmetry is discovered which solves the m-problem as well as problems with pro-4ton decay and allows to embed the standard model gauge group into a simple group, i.e. theR is compatible with grand unification. Also the flavor problem in the context of minimal4flavor violation is addressed. Finally, a string theory model is presented which exhibits theRmentioned symmetryandotherdesirablefeatures.