Publications (270)563.09 Total impact

Article: The NUHM2 after LHC Run 1
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ABSTRACT: We make a frequentist analysis of the parameter space of the NUHM2, in which the soft supersymmetry (SUSY)breaking contributions to the masses of the two Higgs multiplets, $m^2_{H_{u,d}}$, vary independently from the universal soft SUSYbreaking contributions $m^2_0$ to the masses of squarks and sleptons. Our analysis uses the MultiNest sampling algorithm with over $4 \times 10^8$ points to sample the NUHM2 parameter space. It includes the ATLAS and CMS Higgs mass measurements as well as their searches for supersymmetric jets + MET signals using the full LHC Run~1 data, the measurements of $B_s \to \mu^+ \mu^$ by LHCb and CMS together with other Bphysics observables, electroweak precision observables and the XENON100 and LUX searches for spinindependent dark matter scattering. We find that the preferred regions of the NUHM2 parameter space have negative SUSYbreaking scalar masses squared for squarks and sleptons, $m_0^2 < 0$, as well as $m^2_{H_u} < m^2_{H_d} < 0$. The tension present in the CMSSM and NUHM1 between the supersymmetric interpretation of $g_\mu  2$ and the absence to date of SUSY at the LHC is not significantly alleviated in the NUHM2. We find that the minimum $\chi^2 = 32.5$ with 21 degrees of freedom (dof) in the NUHM2, to be compared with $\chi^2/{\rm dof} = 35.0/23$ in the CMSSM, and $\chi^2/{\rm dof} = 32.7/22$ in the NUHM1. We find that the onedimensional likelihood functions for sparticle masses and other observables are similar to those found previously in the CMSSM and NUHM1.08/2014;  [Show abstract] [Hide abstract]
ABSTRACT: In 2012, the discovery of a particle compatible with a Higgs boson of a mass of roughly 125 GeV was announced. This great success is now being followed by the identification of the nature of this particle and the particle's properties are being measured. One of these properties is the Higgs boson mass which is already known very precisely with an experimental uncertainty of below 1 GeV. In some extensions of the Standard Model, like in supersymmetric extensions, the Higgs boson mass can be predicted and hence, the measured mass constrains the parameters of the model. For a full exploitation of this constraint, a precise theoretical prediction is needed. The presented combination of the results obtained by the Feynman diagrammatic approach and the renormalization group equation approach improves the known Higgs mass prediction for larger mass scales of the superpartner particles.07/2014;  [Show abstract] [Hide abstract]
ABSTRACT: For the interpretation of the signal discovered in the Higgs searches at the LHC it will be crucial in particular to discriminate between the minimal Higgs sector realized in the standard model (SM) and its most commonly studied extension, the minimal supersymmetric standard model (MSSM). The measured mass value, having already reached the level of a precision observable with an experimental accuracy of about 500 MeV, plays an important role in this context. In the MSSM the mass of the light CPeven Higgs boson, Mh, can directly be predicted from the other parameters of the model. The accuracy of this prediction should at least match the one of the experimental result. The relatively high mass value of about 126 GeV has led to many investigations where the scalar top quarks are in the multiTeV range. We improve the prediction for Mh in the MSSM by combining the existing fixedorder result, comprising the full oneloop and leading and subleading twoloop corrections, with a resummation of the leading and subleading logarithmic contributions from the scalar top sector to all orders. In this way for the first time a highprecision prediction for the mass of the light CPeven Higgs boson in the MSSM is possible all the way up to the multiTeV region of the relevant supersymmetric particles. The results are included in the code FeynHiggs.Physical Review Letters 04/2014; 112(14):141801. · 7.73 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: The signal discovered in the Higgs searches at the LHC can be interpreted as the Higgs boson of the Standard Model as well as the light CPeven Higgs boson of the Minimal Supersymmetric Standard Model (MSSM). In this context the measured mass value, having already reached the level of a precision observable with an experimental accuracy of about 500 MeV, plays an important role. This precision can be improved substantially below the level of about 50 MeV at the future International Linear Collider (ILC). Within the MSSM the mass of the light CPeven Higgs boson, M_h, can directly be predicted from the other parameters of the model. The accuracy of this prediction should match the one of the experimental measurements. The relatively high experimentally observed value of the mass of about 125.6 GeV has led to many investigations where the supersymmetric (SUSY) partners of the top quark have masses in the multiTeV range. We review the recent improvements for the prediction for M_h in the MSSM for large scalar top masses. They were obtained by combining the existing fixedorder result, comprising the full oneloop and leading and subleading twoloop corrections, with a resummation of the leading and subleading logarithmic contributions from the scalar top sector to all orders. In this way for the first time a highprecision prediction for the mass of the light CPeven Higgs boson in the MSSM is possible all the way up to the multiTeV region of the relevant supersymmetric particles. However, substantial further improvements will be needed to reach the ILC precision. The newly obtained corrections to M_h are included into the code FeynHiggs.04/2014; 
Article: Probing the Standard Model with Higgs signal rates from the Tevatron, the LHC and a future ILC
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ABSTRACT: We explore the room for possible deviations from the Standard Model (SM) Higgs boson coupling structure in a systematic study of Higgs coupling scale factor benchmark scenarios using the latest signal rate measurements from the Tevatron and LHC experiments. We employ a profile likelihood method based on a chisquared test performed with HiggsSignals, which takes into account detailed information on signal efficiencies and major correlations of theoretical and experimental uncertainties. All considered scenarios allow for additional nonstandard Higgs boson decay modes, and various assumptions for constraining the total decay width are discussed. No significant deviations from the SM Higgs boson coupling structure are found in any of the investigated benchmark scenarios. We derive upper limits on an additional (undetectable) Higgs decay mode under the assumption that the Higgs couplings to weak gauge bosons do not exceed the SM prediction. We furthermore discuss the capabilities of future facilities for probing deviations from the SM Higgs couplings, comparing the high luminosity upgrade of the LHC with a future International Linear Collider (ILC), where for the latter various energy and luminosity scenarios are considered. At the ILC modelindependent measurements of the coupling structure can be performed, and we provide estimates of the precision that can be achieved.03/2014;  [Show abstract] [Hide abstract]
ABSTRACT: We discuss the allowed parameter spaces of supersymmetric scenarios in light of improved Higgs mass predictions provided by FeynHiggs 2.10.0. The Higgs mass predictions combine Feynmandiagrammatic results with a resummation of leading and subleading logarithmic corrections from the stop/top sector, which yield a significant improvement in the region of large stop masses. Scans in the pMSSM parameter space show that, for given values of the soft supersymmetrybreaking parameters, the new logarithmic contributions beyond the twoloop order implemented in FeynHiggs tend to give larger values of the light CPeven Higgs mass, M_h, in the region of large stop masses than previous predictions that were based on a fixedorder Feynmandiagrammatic result, though the differences are generally consistent with the previous estimates of theoretical uncertainties. We reanalyze the parameter spaces of the CMSSM, NUHM1 and NUHM2, taking into account also the constraints from CMS and LHCb measurements of B_s to \mu+\mu and ATLAS searches for MET events using 20/fb of LHC data at 8 TeV. Within the CMSSM, the Higgs mass constraint disfavours tan beta lesssim 10, though not in the NUHM1 or NUHM2.12/2013; 
Article: The CMSSM and NUHM1 after LHC Run 1
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ABSTRACT: We analyze the impact of data from the full Run 1 of the LHC at 7 and 8 TeV on the CMSSM with mu > 0 and < 0 and the NUHM1 with mu > 0, incorporating the constraints imposed by other experiments such as precision electroweak measurements, flavour measurements, the cosmological density of cold dark matter and the direct search for the scattering of dark matter particles in the LUX experiment. We use the following results from the LHC experiments: ATLAS searches for events with MET accompanied by jets with the full 7 and 8 TeV data, the ATLAS and CMS measurements of the mass of the Higgs boson, the CMS searches for heavy neutral Higgs bosons and a combination of the LHCb and CMS measurements of B_s to mu+mu and B_d to mu+mu. Our results are based on samplings of the parameter spaces of the CMSSM for both mu>0 and mu<0 and of the NUHM1 for mu > 0 with 6.8 x 10^6, 6.2 x 10^6 and 1.6 x 10^7 points, respectively, obtained using the MultiNest tool. The impact of the Higgs mass constraint is assessed using FeynHiggs 2.10.0, which provides an improved prediction for the masses of the MSSM Higgs bosons in the region of heavy squark masses. It yields in general larger values of M_h than previous versions of FeynHiggs, reducing the pressure on the CMSSM and NUHM1. We find that the global chi^2 functions for the supersymmetric models vary slowly over most of the parameter spaces allowed by the Higgs mass and the MET searches, with bestfit values that are comparable to the chi^2/dof for the best Standard Model fit. We provide 95% CL lower limits on the masses of various sparticles and assess the prospects for observing them during Run 2 of the LHC.12/2013;  [Show abstract] [Hide abstract]
ABSTRACT: We present the currently most precise W boson mass (M_W) prediction in the Minimal Supersymmetric Standard Model (MSSM) and discuss how it is affected by recent results from the LHC. The evaluation includes the full oneloop result and all known higher order corrections of SM and SUSY type. We show the MSSM prediction in the M_Wm_t plane, taking into account constraints from Higgs and SUSY searches. We point out that even if stops and sbottoms are heavy, relatively large SUSY contributions to M_W are possible if either charginos, neutralinos or sleptons are light. In particular we analyze the effect on the M_W prediction of the Higgs signal at about 125.6 GeV, which within the MSSM can in principle be interpreted as the light or the heavy CPeven Higgs boson. For both interpretations the predicted MSSM region for M_W is in good agreement with the experimental measurement. We furthermore discuss the impact of possible future LHC results in the stop sector on the M_W prediction, considering both the cases of improved limits and of the detection of a scalar top quark.11/2013;  [Show abstract] [Hide abstract]
ABSTRACT: We describe the new developments in version 4 of the public computer code HiggsBounds. HiggsBounds is a tool to test models with arbitrary Higgs sectors, containing both neutral and charged Higgs bosons, against the published exclusion bounds from Higgs searches at the LEP, Tevatron and LHC experiments. From the model predictions for the Higgs masses, branching ratios, production cross sections and total decay widths  which are specified by the user in the input for the program  the code calculates the predicted signal rates for the search channels considered in the experimental data. The signal rates are compared to the expected and observed cross section limits from the Higgs searches to determine whether a point in the model parameter space is excluded at 95% confidence level. In this document we present a modification of the HiggsBounds main algorithm that extends the exclusion test in order to ensure that it provides useful results in the presence of one or more significant excesses in the data, corresponding to potential Higgs signals. We also describe a new method to test whether the limits from an experimental search performed under certain model assumptions can be applied to a different theoretical model. Further developments discussed here include a framework to take into account theoretical uncertainties on the Higgs mass predictions, and the possibility to obtain the $\chi^2$ likelihood of Higgs exclusion limits from LEP. Extensions to the user subroutines from earlier versions of HiggsBounds are described. The new features are demonstrated by additional example programs.10/2013;  [Show abstract] [Hide abstract]
ABSTRACT: With the discovery of the Higgs boson, the spectrum of particles in the Standard Model (SM) is complete. It is more important than ever to perform precision measurements and to test for deviations from SM predictions in the electroweak sector. In this report, we investigate two themes in the arena of precision electroweak measurements: the electroweak precision observables (EWPOs) that test the particle content and couplings in the SM and the minimal supersymmetric SM, and the measurements involving multiple gauge bosons in the final state which provide unique probes of the basic tenets of electroweak symmetry breaking. Among the important EWPOs we focus our discussion on M_W and sin^2 theta_eff^l, and on anomalous quartic gauge couplings probed by triboson production and vector boson scattering. We investigate the thresholds of precision that need to be achieved in order to be sensitive to new physics. We study the precision that can be achieved at various facilities on these observables. We discuss the calculational tools needed to predict SM rates and distributions in order to perform these measurements at the required precision. This report summarizes the work of the Energy Frontier Precision Study of Electroweak Interactions working group of the 2013 Community Summer Study (Snowmass).10/2013; 
Article: ILC Higgs White Paper
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ABSTRACT: The ILC Higgs White Paper is a review of Higgs Boson theory and experiment at the International Linear Collider (ILC). Theory topics include the Standard Model Higgs, the twoHiggs doublet model, alternative approaches to electroweak symmetry breaking, and precision goals for Higgs boson experiments. Experimental topics include the measurement of the Higgs cross section times branching ratio for various Higgs decay modes at ILC center of mass energies of 250, 500, and 1000 GeV, and the extraction of Higgs couplings and the total Higgs width from these measurements. Luminosity scenarios based on the ILC TDR machine design are used throughout. The gammagamma collider option at the ILC is also discussed.10/2013;  [Show abstract] [Hide abstract]
ABSTRACT: This Report summarizes the results of the activities in 2012 and the first half of 2013 of the LHC Higgs Cross Section Working Group. The main goal of the working group was to present the state of the art of Higgs Physics at the LHC, integrating all new results that have appeared in the last few years. This report follows the first working group report Handbook of LHC Higgs Cross Sections: 1. Inclusive Observables (CERN2011002) and the second working group report Handbook of LHC Higgs Cross Sections: 2. Differential Distributions (CERN2012002). After the discovery of a Higgs boson at the LHC in mid2012 this report focuses on refined prediction of Standard Model (SM) Higgs phenomenology around the experimentally observed value of 125126 GeV, refined predictions for heavy SMlike Higgs bosons as well as predictions in the Minimal Supersymmetric Standard Model and first steps to go beyond these models. The other main focus is on the extraction of the characteristics and properties of the newly discovered particle such as couplings to SM particles, spin and CPquantum numbers etc.07/2013;  [Show abstract] [Hide abstract]
ABSTRACT: The interpretation of the Higgs signal at \sim 126 GeV within the Minimal Supersymmetric Standard Model (MSSM) depends crucially on the predicted properties of the other Higgs states of the model, as the mass of the charged Higgs boson, MH+. This mass is calculated in the Feynmandiagrammatic approach within the MSSM with real parameters. The result includes the complete oneloop contributions and the twoloop contributions of O(alpha_t alpha_s). The oneloop contributions lead to sizable shifts in the MH+ prediction, reaching up to \sim 8 GeV for relatively small values of M_A. Even larger effects can occur depending on the sign and size of the mu parameter that enters the corrections affecting the relation between the bottomquark mass and the bottom Yukawa coupling. The twoloop O(alpha_t alpha_s) terms can shift MH+ by more than 2 GeV. The twoloop contributions amount to typically about 30% of the oneloop corrections for the examples that we have studied. These effects can be relevant for precision analyses of the charged MSSM Higgs boson.Physical review D: Particles and fields 06/2013; 88(5). 
Article: HiggsSignals: Confronting arbitrary Higgs sectors with measurements at the Tevatron and the LHC
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ABSTRACT: HiggsSignals is a Fortran90 computer code that allows to test the compatibility of Higgs sector predictions against Higgs rates and masses measured at the LHC or the Tevatron. Arbitrary models with any number of Higgs bosons can be investigated using a modelindependent input scheme based on HiggsBounds. The test is based on the calculation of a chisquared measure from the predictions and the measured Higgs rates and masses, with the ability of fully taking into account systematics and correlations for the signal rate predictions, luminosity and Higgs mass predictions. It features two complementary methods for the test. First, the peakcentered method, in which each observable is defined by a Higgs signal rate measured at a specific hypothetical Higgs mass, corresponding to a tentative Higgs signal. Second, the masscentered method, where the test is evaluated by comparing the signal rate measurement to the theory prediction at the Higgs mass predicted by the model. The program allows for the simultaneous use of both methods, which is useful in testing models with multiple Higgs bosons. The code automatically combines the signal rates of multiple Higgs bosons if their signals cannot be resolved by the experimental analysis. We compare results obtained with HiggsSignals to official ATLAS and CMS results for various examples of Higgs property determinations and find very good agreement. A few examples of HiggsSignals applications are provided, going beyond the scenarios investigated by the LHC collaborations. For models with more than one Higgs boson we recommend to use HiggsSignals and HiggsBounds in parallel to exploit the full constraining power of Higgs search exclusion limits and the measurements of the signal seen at around 125.5 GeV.05/2013;  [Show abstract] [Hide abstract]
ABSTRACT: A Higgslike particle with a mass of about 125.5 GeV has been discovered at the LHC. Within the current experimental uncertainties, this new state is compatible with both the predictions for the Standard Model (SM) Higgs boson and with the Higgs sector in the Minimal Supersymmetric Standard Model (MSSM). We propose new lowenergy MSSM benchmark scenarios that, over a wide parameter range, are compatible with the mass and production rates of the observed signal. These scenarios also exhibit interesting phenomenology for the MSSM Higgs sector. We propose a slightly updated version of the wellknown mhmax scenario, and a modified scenario (mhmod), where the light CPeven Higgs boson can be interpreted as the LHC signal in large parts of the MAtan \beta\ plane. Furthermore, we define a light stop scenario that leads to a suppression of the lightest CPeven Higgs gluon fusion rate, and a light stau scenario with an enhanced decay rate of h to \gamma\gamma\ at large tan \beta. We also suggest a \tauphobic Higgs scenario in which the lightest Higgs can have suppressed couplings to downtype fermions. We propose to supplement the specified value of the \mu\ parameter in some of these scenarios with additional values of both signs. This has a significant impact on the interpretation of searches for the non SMlike MSSM Higgs bosons. We also discuss the sensitivity of the searches to heavy Higgs decays into light charginos and neutralinos, and to decays of the form H to hh. Finally, in addition to all the other scenarios where the lightest CPeven Higgs is interpreted as the LHC signal, we propose a lowMH scenario, where instead the heavy CPeven Higgs boson corresponds to the new state around 125.5 GeV.European Physical Journal C 02/2013; · 5.25 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We report on recent developments in the public computer code HiggsBounds, which confronts arbitrary Higgs sector predictions with 95% C.L. exclusion limits from Higgs searches at the LEP, Tevatron and LHC experiments. We discuss in detail the performance of the Standard Model (SM) likeness test as implemented in the latest version HiggsBounds3.8.0, whose outcome decides whether a search for a SM Higgs boson can be applied to a model beyond the SM. Furthermore, we give a preview of features in the upcoming version HiggsBounds4.0.0 and the new program HiggsSignals, which performs a chisquared test of Higgs sector predictions against the signal rate and mass measurements from Higgs boson analyses at the Tevatron and LHC. This is illustrated with an example where the heavier CPeven Higgs boson of the Minimal Supersymmetric Standard Model (MSSM) is considered as an explanation of the LHC Higgs signal at ~126 GeV.01/2013;  [Show abstract] [Hide abstract]
ABSTRACT: At a future linear collider, very precise measurements, typically with errors of <1%, are expected to be achievable. Such an accuracy yields sensitivity to quantum corrections, which therefore must be incorporated into theoretical calculations in order to determine the underlying new physics parameters from linear collider measurements. In the context of the charginoneutralino sector of the minimal supersymmetric standard model, this involves fitting oneloop predictions to prospective measurements of cross sections, forwardbackward asymmetries and the accessible chargino and neutralino masses. Taking recent results from LHC SUSY and Higgs searches into account, we consider three phenomenological scenarios, each displaying characteristic features. Our analysis demonstrates how an accurate determination of the desired parameters is possible, and could additionally provide access to the stop masses and mixing angle.European Physical Journal C 11/2012; 73(6). · 5.25 Impact Factor 
Article: Consistent on shell renormalisation of electroweakinos in the complex MSSM: LHC and LC predictions
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ABSTRACT: We extend the formalism developed in Ref. [20] for the renormalisation of the charginoneutralino sector to the most general case of the MSSM with complex parameters. We show that products of imaginary parts arising from MSSM parameters and from absorptive parts of loop integrals can already contribute to predictions for physical observables at the oneloop level, and demonstrate that the consistent treatment of such contributions gives rise to nontrivial structure, either in the field renormalisation constants or the corrections associated with the external legs of the considered diagrams. We furthermore point out that the phases of the parameters in the charginoneutralino sector do not need to be renormalised at the oneloop level, and demonstrate that the appropriate choice for the mass parameters used as input for the onshell conditions depends both on the process and the region of MSSM parameter space under consideration. As an application, we compute the complete oneloop results in the MSSM with complex parameters for the process h(a) to chi(i)+chi(j) (Higgspropagator corrections have been incorporated up to the twoloop level), which may be of interest for SUSY Higgs searches at the LHC, and for chargino pairproduction at an e+e Linear Collider, e+e to chi(i)+chi(j). We investigate the dependence of the theoretical predictions on the phases of the MSSM parameters, analysing in particular the numerical relevance of the absorptive parts of loop integrals.Journal of High Energy Physics 11/2012; 2013(5). · 5.62 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: A Higgslike particle with a mass of about 126 GeV has been discovered at the LHC. Within the experimental uncertainties, the measured properties of this new state are compatible with those of the Higgs boson in the Standard Model (SM). While not statistically significant at present, the results show some interesting patterns of deviations from the SM predictions, in particular a higher rate in the \gamma\gamma\ decay mode observed by ATLAS and CMS, and a somewhat smaller rate in the \tau\tau\ mode. The LHC discovery is also compatible with the predictions of the Higgs sector of the Minimal Supersymmetric Standard Model (MSSM), interpreting the new state as either the light or the heavy CPeven MSSM Higgs boson. Within the framework of the MSSM with seven free parameters (pMSSM7), we fit the various rates of cross section times branching ratio as measured by the LHC and Tevatron experiments under the hypotheses of either the light or the heavy CPeven Higgs boson being the new state around 126 GeV, with and without the inclusion of further lowenergy observables. We find an overall good quality of the fits, with the best fit points exhibiting an enhancement of the \gamma\gamma rate, as well as a small suppression of the bb and \tau\tau\ channels with respect to their SM expectations, depending on the details of the fit. For the fits including the whole data set the light CPeven Higgs interpretation in the MSSM results in a higher relative fit probability than the SM fit. On the other hand, we find that the present data also permit the more exotic interpretation in terms of the heavy CPeven MSSM Higgs, which could give rise to experimental signatures of additional Higgs states in the near future.European Physical Journal C 11/2012; 73(4). · 5.25 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We make a frequentist analysis of the parameter space of the CMSSM and NUHM1, using a Markov Chain Monte Carlo (MCMC) with 95 (221) million points to sample the CMSSM (NUHM1) parameter spaces. Our analysis includes the ATLAS search for supersymmetric jets + [InlineEquation not available: see fulltext.] signals using ˜5/fb of LHC data at 7 TeV, which we apply using PYTHIA and a Delphes implementation that we validate in the relevant parameter regions of the CMSSM and NUHM1. Our analysis also includes the constraint imposed by searches for BR( B s → μ + μ ) by LHCb, CMS, ATLAS and CDF, and the limit on spinindependent dark matter scattering from 225 live days of XENON100 data. We assume M h ˜125 GeV, and use a full set of electroweak precision and other flavourphysics observables, as well as the cold dark matter density constraint. The ATLAS5/fb constraint has relatively limited effects on the 68 and 95 % CL regions in the ( m 0, m 1/2) planes of the CMSSM and NUHM1. The new BR( B s → μ + μ ) constraint has greater impacts on these CL regions, and also impacts significantly the 68 and 95 % CL regions in the ( M A ,tan β) planes of both models, reducing the bestfit values of tan β. The recent XENON100 data eliminate the focuspoint region in the CMSSM and affect the 68 and 95 % CL regions in the NUHM1. In combination, these new constraints reduce the bestfit values of m 0, m 1/2 in the CMSSM, and increase the global χ 2 from 31.0 to 32.8, reducing the pvalue from 12 % to 8.5 %. In the case of the NUHM1, they have little effect on the bestfit values of m 0, m 1/2, but increase the global χ 2 from 28.9 to 31.3, thereby reducing the pvalue from 15 % to 9.1 %.European Physical Journal C 11/2012; · 5.25 Impact Factor
Publication Stats
8k  Citations  
563.09  Total Impact Points  
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Institutions

2013

University of Bonn
 Physics Institute
Bonn, North RhineWestphalia, Germany


2010–2013

Deutsches ElektronenSynchrotron
Hamburg, Hamburg, Germany


2002–2010

Durham University
 Institute for Particle Physics Phenomenology "IPPP"
Durham, England, United Kingdom


2007–2008

Paul Scherrer Institut
Aargau, Switzerland 
Petersburg Nuclear Physics Institute
Krasnogwardeisk, Leningrad, Russia


1999–2004

CERN
 Physics Department (PH)
Genève, GE, Switzerland


2003

University of Chicago
 Enrico Fermi Institute
Chicago, IL, United States


2001

University of Warsaw
 Institute of Theoretical Physics
Warsaw, Masovian Voivodeship, Poland


1997–1999

Karlsruhe Institute of Technology
 Institute of Theoretical Physics
Karlsruhe, BadenWuerttemberg, Germany


1994–1998

University of Wuerzburg
 Department of Theoretical and Astrophysics
Würzburg, Bavaria, Germany


1996

Bielefeld University
 Faculty of Physics
Bielefeld, North RhineWestphalia, Germany
