Lepton Flavor Violation in the Standard Model with general Dimension-Six Operators

We study lepton flavor observables in the Standard Model (SM) extended with all dimension-6 operators which are invariant under the SM gauge group. We calculate the complete one-loop predictions to the radiative lepton decays μ → eγ, τ → μγ and τ → eγ as well as to the closely related anomalous magnetic moments and electric dipole moments of charged leptons, taking into account all dimension-6 operators which can generate lepton flavor violation. Also the 3-body flavor violating charged lepton decays τ ± → μ ± μ + μ −, τ ± → e ± e + e −, τ ± → e ± μ + μ −, τ ± → μ ± e + e −, τ ± → e ∓ μ ± μ ±, τ ± → μ ∓ e ± e ± and μ ± → e ± e + e − and the Z 0 decays Z 0 → ℓ+iℓ−j are considered, taking into account all tree-level contributions.

Is the acetabular cup orientation after total hip arthroplasty on a two dimension or three dimension model accurate?

Purpose Malposition of the acetabular component in total hip arthroplasty (THA) is a common surgical problem that can lead to hip dislocation, reduced range of motion and may result in early loosening. The aim of this study is to validate the accuracy and reproducibility of a single x-ray image based 2D/3D reconstruction technique in determining cup inclination and anteversion against two different computer tomography (CT)-based measurement techniques. Methods Cup anteversion and inclination of 20 patients after cementless primary THA was measured on standard anteroposterior (AP) radiographs with the help of the single x-ray 2D/3D reconstruction program and compared with two different 3D CT-based analyses [Ground Truth (GT) and MeVis (MV) reconstruction model]. Results The measurements from the single x-ray 2D/3D reconstruction technique were strongly correlated with both types of CT image-processing protocols for both cup inclination [R²=0.69 (GT); R²=0.59 (MV)] and anteversion [R²=0.89 (GT); R²=0.80 (MV)]. Conclusions The single x-ray image based 2D/3D reconstruction technique is a feasible method to assess cup position on postoperative x-rays. CTscans remain the golden standard for a more complex biomechanical evaluation when a lower tolerance limit (+/-2 degrees) is required.

Solution of the relativistic Schrödinger equation for the δ ′ -Function potential in one dimension using cutoff regularization

We study the relativistic version of the Schrödinger equation for a point particle in one dimension with the potential of the first derivative of the delta function. The momentum cutoff regularization is used to study the bound state and scattering states. The initial calculations show that the reciprocal of the bare coupling constant is ultraviolet divergent, and the resultant expression cannot be renormalized in the usual sense, where the divergent terms can just be omitted. Therefore, a general procedure has been developed to derive different physical properties of the system. The procedure is used first in the nonrelativistic case for the purpose of clarification and comparisons. For the relativistic case, the results show that this system behaves exactly like the delta function potential, which means that this system also shares features with quantum filed theories, like being asymptotically free. In addition, in the massless limit, it undergoes dimensional transmutation, and it possesses an infrared conformal fixed point. The comparison of the solution with the relativistic delta function potential solution shows evidence of universality.

Die Erschliessung der dritten Dimension. Entstehung und Entwicklung der zivilen Luftfahrtinfrastruktur in der Schweiz, 1919-1990

Weshalb liegt der grösste Flughafen der Schweiz heute in Zürich-Kloten? Welche Rolle spielte der Fluglärm bei der Entwicklung der Flughäfen Genf-Cointrin und Basel-Mülhausen? Wie entstanden in der Schweiz die ersten Luftstrassen und seit wann gibt es Fluglotsen? Erstmals wird die Geschichte der Flughäfen, der Flugplätze und der Flugsicherung in der Schweiz von den Anfängen bis zum Ende des 20. Jahrhunderts umfassend dargestellt. Der Autor fokussiert nicht auf einzelne Anlagen, sondern nimmt eine gesamtschweizerische Perspektive ein, die er in einen globalen Zusammenhang stellt. Aus dem umfangreichen Quellenmaterial rekonstruiert er die Entstehung und Entwicklung der Luftfahrtinfrastruktur in der Schweiz und beleuchtet die Auswirkung verschiedener Rahmenbedingungen und ­Akteure auf diese Entwicklung. Dabei berücksichtigt er ein breites Spektrum an Faktoren: beispielsweise die im Luftverkehr besonders wichtigen internationalen Einflüsse, den seit der Zwischenkriegszeit bestehenden Konkurrenzkampf zwischen den Flugplatzstandorten, die Rolle des Bundes oder die nach dem Zweiten Weltkrieg aufkommende Fluglärmthematik. Nebst den heute noch bestehenden Standorten werden auch längst aufgehobene Infrastrukturen sowie nie verwirklichte Projekte thematisiert, darunter der europäische Zentralflughafen für interkontinentale Grosswasserflugzeuge am Bodensee sowie die schweizerischen Zentralflughäfen in Bern-Utzenstorf und auf dem Neuenburgersee.

Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law

We investigate the consequences of one extra spatial dimension for the stability and energy spectrum of the non-relativistic hydrogen atom with a potential defined by Gauss' law, i.e. proportional to 1 /| x | 2 . The additional spatial dimension is considered to be either infinite or curled-up in a circle of radius R. In both cases, the energy spectrum is bounded from below for charges smaller than the same critical value and unbounded from below otherwise. As a consequence of compactification, negative energy eigenstates appear: if R is smaller than a quarter of the Bohr radius, the corresponding Hamiltonian possesses an infinite number of bound states with minimal energy extending at least to the ground state of the hydrogen atom.