Searches for ttˉHt\bar{t}H and tHtH with H→bbˉH\to b\bar b

The associated production of a Higgs boson with a top quark-antiquark pair ($\text{t}\bar{\text{t}}\text{H}$ production) or with a single top quark ($\text{tH}$ production) allows a direct measurement of the top-Higgs-Yukawa coupling with minimal model dependence. In this article, recent results of searches for $\text{t}\bar{\text{t}}\text{H}$ and $\text{tH}$ production in the $\text{H}\rightarrow\text{b}\bar{\text{b}}$ channel performed by the ATLAS and CMS experiments are reviewed. The analyses use pp collision data collected at a centre-of-mass energy of 13$\,$TeV corresponding to an integrated luminosity of up to 13.2$\,$fb${}^{-1}$.Comment: TOP2016 conferenc

Bounded time computation on metric spaces and Banach spaces

We extend the framework by Kawamura and Cook for investigating computational complexity for operators occurring in analysis. This model is based on second-order complexity theory for functions on the Baire space, which is lifted to metric spaces by means of representations. Time is measured in terms of the length of the input encodings and the required output precision. We propose the notions of a complete representation and of a regular representation. We show that complete representations ensure that any computable function has a time bound. Regular representations generalize Kawamura and Cook's more restrictive notion of a second-order representation, while still guaranteeing fast computability of the length of the encodings. Applying these notions, we investigate the relationship between purely metric properties of a metric space and the existence of a representation such that the metric is computable within bounded time. We show that a bound on the running time of the metric can be straightforwardly translated into size bounds of compact subsets of the metric space. Conversely, for compact spaces and for Banach spaces we construct a family of admissible, complete, regular representations that allow for fast computation of the metric and provide short encodings. Here it is necessary to trade the time bound off against the length of encodings

Representing Probability Measures using Probabilistic Processes

In the Type-2 Theory of Effectivity, one considers representations of topological spaces in which infinite words are used as “names ” for the elements they represent. Given such a representation, we show that probabilistic processes on infinite words generate Borel probability measures on the represented space. Conversely, for several well-behaved types of space, every Borel probability measure is represented by a corresponding probabilistic process. Accordingly, we consider probabilistic processes as providing “probabilistic names ” for Borel probability measures. We show that integration is computable with respect to the induced representation of measures.

Structural similarity between dry and wet sphere packings

The mechanical properties of granular materials change significantly in the presence of a wetting liquid which creates capillary bridges between the particles. Here we demonstrate, using X-ray tomographies of dry and wet sphere packings, that this change in mechanical properties is not accompanied by structural differences between the packings. We characterize the latter by the average numbers of contacts of each sphere $\langle Z\rangle$ and the shape isotropy $\langle \beta_0^{2,0} \rangle$ of the Voronoi cells of the particles. Additionally, we show that the number of liquid bridges per sphere $\langle B\rangle$ is approximately equal to $\langle Z\rangle + 2$, independent of the volume fraction of the packing. These findings will be helpful in guiding the development of both particle-based models and continuum mechanical descriptions of wet granular matter.Comment: slightly revised versio

The effect of saving subsidies on household saving: Evidence from Germany

Since 2002 the German government seeks to stimulate private retirement savings by means of special allowances and tax exemptions - the so-called Riester scheme. We apply matching and panel regression techniques to assess the impact of the Riester scheme on households' propensities to save in a natural experiment framework. Estimation results from both the German Socio-Economic Panel and the SAVE study indicate that private saving was hardly affected by the introduction of the Riester scheme. --Household saving,Saving incentives,Retirement,Riester scheme,Coarsened exact matching

The Eff ect of Saving Subsidies on Household Saving – Evidence from Germanys

Since 2002 the German government seeks to stimulate private retirement savings by means of special allowances and tax exemptions – the so-called Riester scheme. We apply matching and panel regression techniques to assess the impact of the Riester scheme on households’ propensities to save in a natural experiment framework. Estimation results from both the German Socio-Economic Panel and the SAVE study indicate that private saving was hardly aff ected by the introduction of the Riester scheme.Household saving; saving incentives; retirement; Riester scheme; coarsened exact matching

Can governments boost voluntary retirement savings via tax incentives and subsidies? A German case study for low-income households

Since 2002 the German government has promoted private retirement saving plans by means of special subsidies and tax incentives (Riester scheme). This policy mainly targets low-income households. Using data from the German Socio-economic Panel, we scrutinize the impact of the Riester scheme on private savings. Our empirical strategy consists of treating the introduction of the Riester scheme as a natural experiment. The estimation results cast some doubts on the effectiveness of the Riester scheme in raising private savings and call for enhanced systematic efforts to evaluate that policy. --retirement saving,Riester scheme,tax incentives,subsidy incentives,pensions,treatment analysis