Renormalization of fermion mixing

Precision measurements of phenomena related to fermion mixing require the inclusion of higher order corrections in the calculation of corresponding theoretical predictions. For this, a complete renormalization scheme for models that allow for fermion mixing is highly required. The correct treatment of unstable particles makes this task difficult and yet, no satisfactory and general solution can be found in the literature. In the present work, we study the renormalization of the fermion Lagrange density with Dirac and Majorana particles in models that involve mixing. The first part of the thesis provides a general renormalization prescription for the Lagrangian, while the second one is an application to specific models. In a general framework, using the on-shell renormalization scheme, we identify the physical mass and the decay width of a fermion from its full propagator. The so-called wave function renormalization constants are determined such that the subtracted propagator is diagonal on-shell. As a consequence of absorptive parts in the self-energy, the constants that are supposed to renormalize the incoming fermion and the outgoing antifermion are different from the ones that should renormalize the outgoing fermion and the incoming antifermion and not related by hermiticity, as desired. Instead of defining field renormalization constants identical to the wave function renormalization ones, we differentiate the two by a set of finite constants. Using the additional freedom offered by this finite difference, we investigate the possibility of defining field renormalization constants related by hermiticity. We show that for Dirac fermions, unless the model has very special features, the hermiticity condition leads to ill-defined matrix elements due to self-energy corrections of external legs. In the case of Majorana fermions, the constraints for the model are less restrictive. Here one might have a better chance to define field renormalization constants related by hermiticity. After analysing the complete renormalized Lagrangian in a general theory including vector and scalar bosons with arbitrary renormalizable interactions, we consider two specific models: quark mixing in the electroweak Standard Model and mixing of Majorana neutrinos in the seesaw mechanism. A counter term for fermion mixing matrices can not be fixed by only taking into account self-energy corrections or fermion field renormalization constants. The presence of unstable particles in the theory can lead to a non-unitary renormalized mixing matrix or to a gauge parameter dependence in its counter term. Therefore, we propose to determine the mixing matrix counter term by fixing the complete correction terms for a physical process to experimental measurements. As an example, we calculate the decay rate of a top quark and of a heavy neutrino. We provide in each of the chosen models sample calculations that can be easily extended to other theories.

Smart magnetic dispersions - from switchable release to well-defined hybrid nanofibers

The synthesis, characterization and application of aqueous dispersions of superparamagnetic/polymer hybrid nanoparticles and capsules is described. Implementation of the superparamagnetic moiety into the polymer matrix enables a response of the nanomaterials towards an external magnetic field. Application of the external field is used for two main purposes: i) As heat generator, when an alternating magnetic field is applied. ii) As structuring agent to self-assemble superparamagnetic nanoparticles in the external field.rnIn the first part, superparamagnetic nanoparticles were used as heat generators in order to achieve a magnetic field induced release of an active compound from nanocontainers. To achieve such a release in remote-controlled fashion, the encapsulation of superparamagnetic nanoparticles into polymer nanocapsules was combined with the integration of a thermolabile compound into the shell of the nanocontainers. The magnetic nanoparticles acted as generators for heat, which decomposed the thermolabile compound. Pores were created in the degrading shell and an active substance was released.rn Additionally, the self-assembly of polymer nanoparticles, which were labeled with a superparamagnetic moiety as structuring agent, could be demonstrated. A combination of a magnetic field induced self-assembly and a sintering of neighboring particles upon an increase in temperature above the glass transition temperature of the polymer was used to form stable architectures. Various structures with tunable periodicity could be obtained ranging from smooth linear nanofibers to zigzag fibers. Besides solely creating linear architectures, the frugal process additionally allowed the creation of arrangements in analogy to more complex polymer architectures: By the introduction of defined junction points, the generation of branched structures and networks was demonstrated. Additionally, by tailoring the interaction of differently sized particles, the preparation of nanoparticle arrangements in statistical or block copolymer fashion was shown. Moreover, a reversible linear assembly and linkage of the nanoparticles was demonstrated following a lock/unlock mechanism. Therefore, the particles were locked in their linear assembly by a stable iron(III) hydroxamato-complex and unlocked by addition of a reducing agent and formation of a less stable iron(II)-complex.Further, in various projects with collaboration partners, nanoparticles and nanocapsules were labeled with a superparamagnetic moiety for their use as contrast agents in magnetic resonance imaging or as magnetically separable dispersions.

Physiologische Konsequenzen eines gestörten Ceramid Stoffwechsels unter Beteiligung von Ceramidsynthase 3 und saurer Ceramidase = Physiological consequences of a disturbed ceramide metabolism due to altered activities of ceramide synthase 3 and acidic ceramidase

Tiefes Wissen über den Ceramid Stoffwechsel ist rudimentär für das Verständnis der Haut-Pathophysiologie (z.B. für atopische Dermatitis oder Psoriasis ) und unabdingbar für gezielte Therapieansätze. Wenn die zwei wichtigen Barriere Funktionen, gegen transepidermalen Wasserverlust und Pathogene Invasionen undicht werden, sind bestimmte Barriere Komponenten wie z.B. Ceramide stark verändert. In Haut und Hoden führt die Deletion der Ceramid-Synthase 3 zu einem Arrest der epidermalen Reifung und der Spermatogenese, welches ihre Bedeutung für eine intakte Barriere heraushebt. Sphingosin (So), ein Abbauprodukt von Cer, wurde als antimikrobielles Mittel identifiziert. So konnte das Wachstum von Candida albicans hemmen und die Invasion von Pathogenen in tiefere Hautschichten verringern, wodurch ihre mögliche Rolle in der Therapie von Hauterkrankungen gezeigt wurde. Auch eine neue Klasse von Ceramiden, die 1-O-acylceramide, wurde entdeckt. 1-O-acylceramide könnten zu einer funktionellen Wasserdurchlässigkeit Barriere beitragen, da sie zu den hydrophobesten der epidermalen Cers gehören. Die neutrale Glucosylceramidase scheint topologisch mit der 1-Oacylceramid Produktion verbunden zu sein, sowie die Enzyme der Diacylglycerol O-Acyltransferase-2 (DGAT2) Familie eine Rolle dabei spielen könnten. Die Identifizierung der für die 1-O-acylceramid Synthese verantwortlichen Enzyme wir Gegenstand weiterer Forschung sein, jedoch zeigten Untersuchungen an Mäusen, defizient für die saure Ceramidase (Farber-Krankheit), dass Makrophagen ein weiterer potenzieller Produktionsort sein könnten.