Physik-Department Technische Universit¨at M¨unchen Institut f¨ur Theoretische Physik Lehrstuhl Univ.-Prof. Dr. Andrzej J. Buras Supersymmetric SO(10) unification and flavor-changing weak decays Sebastian Jager¨ Technische Universit¨at M¨unchen Physik-Department James-Franck-Straße 85748 Garching Germany Email:
[email protected] Physik-Department Technische Universit¨at M¨unchen Institut f¨ur Theoretische Physik Lehrstuhl Univ.-Prof. Dr. Andrzej J. Buras Supersymmetric SO(10) unification and flavor-changing weak decays Sebastian Jager¨ Vollst¨andiger Abdruck der von der Fakult¨at f¨ur Physik der Technischen Univer- sit¨at M¨unchen zur Erlangung des akademischen Grades eines Doktors der Naturwissenschaften (Dr. rer. nat.) genehmigten Dissertation. Vorsitzender: Univ.-Prof. Dr. Stefan Paul Pr¨ufer der Dissertation: 1. Univ.-Prof. Dr. Andrzej J. Buras 2. Univ.-Prof. Dr. Manuel Drees Die Dissertation wurde am 9.10.2003 bei der Technischen Universit¨at M¨unchen eingereicht und durch die Fakult¨at f¨ur Physik am 21.10.2003 angenommen. Abstract We study flavor-changing decays of hadrons and leptons in supersymmetric grand unified theories with universal soft-breaking terms at the Planck scale. Specifi- cally, we study an SO(10) model with a flavor structure motivated by the observed large atmospheric mixing angle. In such models, the large top Yukawa coupling leads to a predictive pattern of flavor violation among the sfermion mass matrices both in the slepton and squark sectors. The steps taken are the following. • We perform the first study of this model utilizing a full renormalization- group analysis to relate Planck-scale parameters to weak-scale parameters.