The Hellinger Correlation

In this paper, the defining properties of a valid measure of the dependence between two random variables are reviewed and complemented with two original ones, shown to be more fundamental than other usual postulates. While other popular choices are proved to violate some of these requirements, a class of dependence measures satisfying all of them is identified. One particular measure, that we call the Hellinger correlation, appears as a natural choice within that class due to both its theoretical and intuitive appeal. A simple and efficient nonparametric estimator for that quantity is proposed. Synthetic and real-data examples finally illustrate the descriptive ability of the measure, which can also be used as test statistic for exact independence testing

SFITTER: SUSY Parameter Analysis at LHC and LC

SFITTER is a new analysis tool to determine supersymmetric model parameters from collider measurements. Using the set of supersymmetric mass measurements at the LC and at the LHC we show how both colliders probe different sectors of the MSSM Lagrangian. This observation is a strong motivation to move from a parameter fit assuming a certain model to the unconstrained weak-scale MSSM Lagrangian. We argue how the technical challenges can be dealt with in a combined fit/grid approach with full correlations.Comment: contribution to LHC-LC Study Group, G.Weiglein et a

SUSY parameter determination

The impact of the LHC, SLHC and the ILC on the precision of the determination of supersymmetric parameters is investigated. In particular, in the point SPS1a the measurements performed at the ILC will improve by an order of magnitude the precision obtained by the LHC alone. The SLHC with respect to the LHC has the potential to reduce the errors by a factor two.Comment: Invited talk at 2005 International Linear Collider Physics and Detector Workshop and Second ILC Accelerator Workshop, Snowmass, CO(Snowmass05) 3 pages, LaTe

A uniform L1L^1 law of large numbers for functions of i.i.d. random variables that are translated by a consistent estimator

We develop a new $L^1$ law of large numbers where the $i$-th summand is given by a function $h(\cdot)$ evaluated at $X_i - \theta_n$, and where $\theta_n \circeq \theta_n(X_1,X_2,\ldots,X_n)$ is an estimator converging in probability to some parameter $\theta\in \mathbb{R}$. Under broad technical conditions, the convergence is shown to hold uniformly in the set of estimators interpolating between $\theta$ and another consistent estimator $\theta_n^{\star}$. Our main contribution is the treatment of the case where $|h|$ blows up at $0$, which is not covered by standard uniform laws of large numbers.Comment: 10 pages, 1 figur

SFitter: Reconstructing the MSSM Lagrangian from LHC data

Once supersymmetry is found at the LHC, the question arises what are the fundamental parameters of the Lagrangian. The answer to this question should thereby not be biased by assumptions on high-scale models. SFitter is a tool designed for this task. Taking LHC (and possibly ILC) data as input it scans the TeV-scale MSSM parameter space using its new weighted Markov chain technique. Using this scan it determines a list of best-fitting parameter points. Additionally a log-likelihood map is calculated, which can be reduced to lower-dimensional Frequentist's profile likelihoods or Bayesian probability maps.Comment: Submitted for the SUSY07 proceedings, 4 pages, LaTeX, 4 eps figure

Measuring Higgs Couplings from LHC Data

Following recent ATLAS and CMS publications we interpret the results of their Higgs searches in terms of Standard Model operators. For a Higgs mass of 125 GeV we determine several Higgs couplings from 2011 data and extrapolate the results towards different scenarios of LHC running. Even though our analysis is limited by low statistics we already derive meaningful constraints on modified Higgs sectors.Comment: 5 pages, 4 figure

ATLAS electromagnetic barrel calorimeter performance in recent testbeams

During the combined testbeam in summer 2004 a slice of the ATLAS barrel detector—including all detector sub systems from the inner tracker, the calorimetry to the muon system—was exposed to particle beams (electrons, pions, photons, muons) with different energies (1–350 GeV). The aim was to study the combined performance of the different detector sub systems in ATLAS-like conditions. We will present studies with different amounts of material in front of the calorimeter, representing various regions in the ATLAS detector, performance results from the electromagnetic calorimetry, including uniformity, resolution, and linearity as well as a discussion of the calibration scheme. The performance in the combined ATLAS-like set-up will be compared to the one obtained in stand-alone testbeams

Le critère d’absence d’envie dans les théories contemporaines de la justice

Le critère d’absence d’envie, introduit par J. Tinbergen et utilisé par certaines théories de la justice distributive, ne permet pas, dans tous les cas, d’identifier des allocations de biens respectant l’exigence de pareto-optimalité. Pour cette raison il a été, durant un temps, délaissé. Néanmoins, ce critère demeure utile dans certains contextes dont nous voudrions préciser les caractéristiques. En effet, plusieurs travaux récents d’économie normative ont montré que, sous certaines conditions et même dans un contexte de production, l’absence d’envie offre une solution à la recherche d’allocations équitables. Ainsi, nous voudrions examiner, à partir de ces résultats, sous quelles conditions le champ d’application du critère d’absence d’envie peut être étendu, en vue d’identifier des allocations équitables, dans un contexte économique d’échange comme de production.The non envy criterium, introduced by Tinbergen and convoqued by some theories of justice, cannot always be used to identify allocations which also satisfy the requirement of Pareto-optimality. This is the reason why it had been neglected for a while. Nevertheless, it is still useful in some contexts we would like to describe. In fact, recent conclusions of normative economy demonstrated that, in some conditions and even in the framework of production, this criterium provide a solution for fair allocations. Precisely, we would like, on the basis of these results, to determine which extent has the implementation of non envy criterium in order to identify fair distributive allocations in a context of exchange and production as well

Le critère d’absence d’envie dans les théories contemporaines de la justice

Le critère d’absence d’envie, introduit par J. Tinbergen et utilisé par certaines théories de la justice distributive, ne permet pas, dans tous les cas, d’identifier des allocations de biens respectant l’exigence de pareto-optimalité. Pour cette raison il a été, durant un temps, délaissé. Néanmoins, ce critère demeure utile dans certains contextes dont nous voudrions préciser les caractéristiques. En effet, plusieurs travaux récents d’économie normative ont montré que, sous certaines conditions et même dans un contexte de production, l’absence d’envie offre une solution à la recherche d’allocations équitables. Ainsi, nous voudrions examiner, à partir de ces résultats, sous quelles conditions le champ d’application du critère d’absence d’envie peut être étendu, en vue d’identifier des allocations équitables, dans un contexte économique d’échange comme de production.The non envy criterium, introduced by Tinbergen and convoqued by some theories of justice, cannot always be used to identify allocations which also satisfy the requirement of Pareto-optimality. This is the reason why it had been neglected for a while. Nevertheless, it is still useful in some contexts we would like to describe. In fact, recent conclusions of normative economy demonstrated that, in some conditions and even in the framework of production, this criterium provide a solution for fair allocations. Precisely, we would like, on the basis of these results, to determine which extent has the implementation of non envy criterium in order to identify fair distributive allocations in a context of exchange and production as well