Heavy neutrinos and rare decays

In dieser Dissertation wird der seltene Zerfall K_L->emu imRahmen eines verallgemeinerten Standardmodells detailliertstudiert. In diesem Prozess bleibt die zu einer gegebenen Familie gehoerende Leptonenzahl nicht erhalten. Deswegenwerden unsere Untersuchungen im Rahmen der SU(2)_L x U(1)_Y-und SU(2)_R x SU(2)_L x U(1)_{B-L}-Modelle mit schwerenMajorana-Neutrinos ausgefuehrt. Die wichtigsten Ergebnisse dieser Arbeit betreffen dieBerechnung des Verzweigungsverhaeltnisses fuer den ZerfallK_L->emu. Im SU(2)_L x U(1)_Y-Modell mit schwerenMajorana-Neutrinos wird eine deutliche Steigerung desVerzweigungsverhaeltnisses gefunden, jedoch liegen dieerhaltenen Ergebnisse um einige Groessenordnungen unter derjetzigen experimentellen Grenze. Benutzt man das gewaehlte,auf der SU(2)_R x SU(2)_L x U(1)_{B-L}$-Eichgruppebasierende Modell mit Links-Rechts-Symmetrie, dann erhoehtdie Anwesenheit der links- und rechtshaendigen Stroeme inden Schleifendiagrammen deutlich den Wert desVerzweigungsverhaeltnisses. Dadurch koennen sich Werte inder Naehe der aktuellen experimentellen Grenze vonB(K_L->emu) < 4.7 x 10^{-12} ergeben. Um unsere Ergebnisse zu untermauern, wird die Frage derEichinvarianz bei diesem Zerfallsprozess auf demEin-Schleifen-Niveau mit besonderer Aufmerksamkeitbehandelt. Ein sogenanntes ,,on-shell skeleton``Renormierungsschema wird benutzt, um die erste vollstaendigeAnalyse der Eichinvarianz fuer den Prozess K_L->emuauszufuehren.

Hyperbranched polyglycerols as building blocks for complex amphiphilic structures: synthesis, characterization and applications

Among hyperbranched polymers, polyglycerol is one of the most promising and commonly used macromolecules due to its biocompatibility and versatility. However, the synthesis of high molecular weight polyglycerols still involves many intricacies and has only been understood to a limited extent. Furthermore, only few complex structures like star or block copolymers incorporating polyglycerol have been realized so far. Particularly biocompatible block copolymers are considered promising candidates for biomedical applications.rnThe scope of this thesis was the enhancement of the synthetic process leading to polyglycerol derivatives which implies improved molecular weight control for a broad molecular weight range as well as the assembly of more complex structures like amphiphilic block copolymers. Further insight into the relation between reaction solvent, degree of deprotonation during the ring-opening multibranching polymerization of glycidol and the characteristics of the obtained polymers were achieved within the scope of this work. Based on these results, a novel concept for the preparation of hyperbranched polyglycerols with molecular weights up to 20,000 g/mol was developed, applying a two step synthesis pathway. Starting from a partially deprotonated TMP core, low molecular weight hb-PGs were prepared using the known synthetic protocol that has been established since the late 1990ies. In a subsequent reaction sequence, these well defined polymers were used as hyperbranched macroinitiator cores in order to obtain high molecular weight hb-PGs with remarkably low polydispersity (Mw/Mn < 1.8). Molecular weight control was shown to be excellent and undesired low molecular weight side products were absent. Furthermore, the technique of continuous spin fractionation has been discovered as an efficient method for polyglycerol work-up to remove quantitatively residual monomer- and oligomer traces from hb-PG compositions to result in samples with significantly reduced polydispersities. Based on these results the synthesis of amphiphilic block copolymers containing hydrophilic hyperbranched polyglycerol blocks and linear, apolar poly(propylene oxide) blocks has been significantly improved and augmented to hb-PG-b-l-PPO-b-hb-PG ABA block copolymers. The influence of different polyglycerol-based amphiphiles on the fibril formation was studied by Thioflavin T Fluorescence showing remarkable increasing lag times which is promising in order to enhance the stability of this protein. In addition the first synthesis of poly(glyceryl glycerols) (PGG), introducing a new solketyl glycidyl ether monomer (IGG) was shown. It was furthermore demonstrated that core-functional carbosilane wedges allow application in block copolymer synthesis. Bisglycidolized amine functional polymers were successfully employed as macroinitiators for glycidol polymerization. This resulted in the first example of amphiphilic hyperbranched-hyperbranched polymer structures. Finally, it has been shown that the previously reported synthetic pathway to carboxylated hyperbranched polyglycerol polyelectrolytes can also be applied for the amphiphilic linear-hyperbranched block copolymers. These novel biocompatible and highly amphiphilic polyelectrolytes offer great potential for further investigations. rnrn