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The measurement of the mass of the $W$ boson is currently one of the most promising precision analyses of the Standard Model, that could ultimately reveal a hint for new physics.
The mass of the $W$ boson is determined by comparing the $W$ boson, which cannot be reconstructed directly, to the $Z$ boson, where the full decay signature is available. With the help of Monte Carlo simulations one can extrapolate from the $Z$ boson to the $W$ boson.
Technically speaking, the measurement of the $W$ boson mass is performed by comparing data taken by the ATLAS experiment to a set of calibrated Monte Carlo simulations, which reflect different mass hypotheses.\
A dedicated calibration of the reconstructed objects in the simulations is crucial for a high precision of the measured value.
The comparison of simulated $Z$ boson events to reconstructed $Z$ boson candidates in data allows to derive event weights and scale factors for the calibration.
This thesis presents a new approach to reweight the hadronic recoil in the simulations. The focus of the calibration is on the average hadronic activity visible in the mean of the scalar sum of the hadronic recoil $\Sigma E_T$ as a function of pileup. In contrast to the standard method, which directly reweights the scalar sum, the dependency to the transverse boson momentum is less strongly affected here.
The $\Sigma E_T$ distribution is modeled first by means of its pileup dependency. Then, the remaining differences in the resolution of the vector sum of the hadronic recoil are scaled. This is done separately for the parallel and the pterpendicular component of the hadronic recoil with respect to the reconstructed boson.
This calibration was developed for the dataset taken by the ATLAS experiment at a center of mass energy of $8\,\textrm{TeV}$ in 2012. In addition, the same reweighting procedure is applied to the recent dataset with a low pileup contribution, the \textit{lowMu} runs at $5\,\textrm{TeV}$ and at $13\,\textrm{TeV}$, taken by ATLAS in November 2017. The dedicated aspects of the reweighting procedure are presented in this thesis. It can be shown that this reweighting approach improves the agreement between data and the simulations effectively for all datasets.
The uncertainties of this reweighting approach as well as the statistical errors are evaluated for a $W$ mass measurement by a template fit to pseudodata for the \textit{lowMu} dataset. A first estimate of these uncertainties is given here. For the pfoEM algorithm a statistical uncertainty of $17\,\text{MeV}$ for the $5\,\textrm{TeV}$ dataset and of $18\,\text{MeV}$ for the $13\,\textrm{TeV}$ are found for the $W \rightarrow \mu \nu$ analysis. The systematic uncertainty introduced by the resolution scaling has the largest effect, a value of $15\,\text{MeV}$ is estimated for the $13\,\textrm{TeV}$ dataset in the muon channel.
This work deals with the development and application of novel quantum Monte Carlo methods to simulate fermion-boson models. Our developments are based on the path-integral formalism, where the bosonic degrees of freedom are integrated out exactly to obtain a retarded fermionic interaction. We give an overview of three methods that can be used to simulate retarded interactions. In particular, we develop a novel quantum Monte Carlo method with global directed-loop updates that solves the autocorrelation problem of previous approaches and scales linearly with system size. We demonstrate its efficiency for the Peierls transition in the Holstein model and discuss extensions to other fermion-boson models as well as spin-boson models. Furthermore, we show how with the help of generating functionals bosonic observables can be recovered directly from the Monte Carlo configurations. This includes estimators for the boson propagator, the fidelity susceptibility, and the specific heat of the Holstein model. The algorithmic developments of this work allow us to study the specific heat of the spinless Holstein model covering its entire parameter range. Its key features are explained from the single-particle spectral functions of electrons and phonons. In the adiabatic limit, the spectral properties are calculated exactly as a function of temperature using a classical Monte Carlo method and compared to results for the Su-Schrieffer-Heeger model.
Metal nanostructures have been known for a long time to exhibit optical resonances via localized surface plasmons. The high electric fields in close proximity to the metal surface have prospects to dramatically change the dynamics of electronic transitions, such as an enhanced spontaneous decay rate of a single emitter. However, there have been two major issues which impede advances in the experimental realization of enhanced light-matter interaction. (i) The fabrication of high-quality resonant structures requires state-of-the-art patterning techniques in combination with superior materials. (ii) The tiny extension of the optical near-field requires precise control of the single emitter with respect to the nanostructure. This work demonstrates a solution to these problems by combining scanning probe and optical confocal microscopy. Here, a novel type of scanning probe is introduced which features a tip composed of the edge of a single crystalline gold sheet. The patterning via focused ion beam milling makes it possible to introduce a plasmonic nanoresonator directly at the apex of the tip. Numerical simulations demonstrate that the optical properties of this kind of scanning probe are ideal to analyze light-matter interaction. Detailed experimental studies investigate the coupling mechanism between a localized plasmon and single colloidal quantum dots by dynamically changing coupling strength via their spatial separation. The results have shown that weak interaction affects the shape of the fluorescence spectrum as well as the polarization. For the best probes it has been found that it is possible to reach the strong coupling regime at the single emitter level at room temperature. The resulting analysis of the experimental data and the proposed theoretical models has revealed the differences between the established far-field coupling and near-field coupling. It has been found that the broad bandwidth of plasmonic resonances are able to establish coherent coupling to multiple transitions simultaneously giving rise to an enhanced effective coupling strength. It has also been found that the current model to numerically calculate the effective mode volume is inaccurate in case of mesoscopic emitters and strong coupling. Finally, light-matter interaction is investigated by the means of a quantum-dot-decorated microtubule which is traversing a localized nearfield by gliding on kinesin proteins. This biological transport mechanism allows the parallel probing of a meta-surface with nm-precision. The results that have been put forward throughout this work have shed new light on the understanding of plasmonic light-matter interaction and might trigger ideas on how to more efficiently combine the power of localized electric fields and novel excitonic materials.
Dynamic light scattering is a popular technique to determine the size distribution of small particles in the sub micrometer region. It operates in reciprocal space, by analyzing the signal fluctuations with the photon auto correlation function. Equally, pulsed field gradient magnetic resonance is a technique generating data in the reciprocal space of the density distribution of an object. Here we show the feasibility of employing a magnetic resonance imaging system as a dynamic scattering device similar to dynamic light scattering appliances. By acquiring a time series of single data points from reciprocal space, analogue to dynamic light scattering, we demonstrate the examination of motion patterns of microscopic particles. This method allows the examination of particle dynamics significantly below the spatial resolution of magnetic resonance imaging. It is not limited by relaxation times and covers a wide field of applications for particle or cell motion in opaque media.
Purpose
4D flow cardiovascular magnetic resonance (CMR) and the assessment of wall shear stress (WSS) are non-invasive tools to study cardiovascular risks in vivo. Major limitations of conventional triggered methods are the long measurement times needed for high-resolution data sets and the necessity of stable electrocardiographic (ECG) triggering. In this work an ECG-free retrospectively synchronized method is presented that enables accelerated high-resolution measurements of 4D flow and WSS in the aortic arch of mice.
Methods
4D flow and WSS were measured in the aortic arch of 12-week-old wildtype C57BL/6 J mice (n = 7) with a radial 4D-phase-contrast (PC)-CMR sequence, which was validated in a flow phantom. Cardiac and respiratory motion signals were extracted from the radial CMR signal and were used for the reconstruction of 4D-flow data. Rigid motion correction and a first order B0 correction was used to improve the robustness of magnitude and velocity data.
The aortic lumen was segmented semi-automatically. Temporally averaged and time-resolved WSS and oscillatory shear index (OSI) were calculated from the spatial velocity gradients at the lumen surface at 14 locations along the aortic arch. Reproducibility was tested in 3 animals and the influence of subsampling was investigated.
Results
Volume flow, cross-sectional areas, WSS and the OSI were determined in a measurement time of only 32 min. Longitudinal and circumferential WSS and radial stress were assessed at 14 analysis planes along the aortic arch. The average longitudinal, circumferential and radial stress values were 1.52 ± 0.29 N/m2, 0.28 ± 0.24 N/m2 and − 0.21 ± 0.19 N/m2, respectively. Good reproducibility of WSS values was observed.
Conclusion
This work presents a robust measurement of 4D flow and WSS in mice without the need of ECG trigger signals. The retrospective approach provides fast flow quantification within 35 min and a flexible reconstruction framework.
We review the physics opportunities of the Future Circular Collider, covering its e(+)e(-), pp, ep and heavy ion programmes. We describe the measurement capabilities of each FCC component, addressing the study of electroweak, Higgs and strong interactions, the top quark and flavour, as well as phenomena beyond the Standard Model. We highlight the synergy and complementarity of the different colliders, which will contribute to a uniquely coherent and ambitious research programme, providing an unmatchable combination of precision and sensitivity to new physics.
In response to the 2013 Update of the European Strategy for Particle Physics, the Future Circular Collider (FCC) study was launched, as an international collaboration hosted by CERN. This study covers a highest-luminosity high-energy lepton collider (FCC-ee) and an energy-frontier hadron collider (FCC-hh), which could, successively, be installed in the same 100 km tunnel. The scientific capabilities of the integrated FCC programme would serve the worldwide community throughout the 21st century. The FCC study also investigates an LHC energy upgrade, using FCC-hh technology. This document constitutes the second volume of the FCC Conceptual Design Report, devoted to the electron-positron collider FCC-ee. After summarizing the physics discovery opportunities, it presents the accelerator design, performance reach, a staged operation scenario, the underlying technologies, civil engineering, technical infrastructure, and an implementation plan. FCC-ee can be built with today's technology. Most of the FCC-ee infrastructure could be reused for FCC-hh. Combining concepts from past and present lepton colliders and adding a few novel elements, the FCC-ee design promises outstandingly high luminosity. This will make the FCC-ee a unique precision instrument to study the heaviest known particles (Z, W and H bosons and the top quark), offering great direct and indirect sensitivity to new physics.
In response to the 2013 Update of the European Strategy for Particle Physics (EPPSU), the Future Circular Collider (FCC) study was launched as a world-wide international collaboration hosted by CERN. The FCC study covered an energy-frontier hadron collider (FCC-hh), a highest-luminosity high-energy lepton collider (FCC-ee), the corresponding 100km tunnel infrastructure, as well as the physics opportunities of these two colliders, and a high-energy LHC, based on FCC-hh technology. This document constitutes the third volume of the FCC Conceptual Design Report, devoted to the hadron collider FCC-hh. It summarizes the FCC-hh physics discovery opportunities, presents the FCC-hh accelerator design, performance reach, and staged operation plan, discusses the underlying technologies, the civil engineering and technical infrastructure, and also sketches a possible implementation. Combining ingredients from the Large Hadron Collider (LHC), the high-luminosity LHC upgrade and adding novel technologies and approaches, the FCC-hh design aims at significantly extending the energy frontier to 100TeV. Its unprecedented centre of-mass collision energy will make the FCC-hh a unique instrument to explore physics beyond the Standard Model, offering great direct sensitivity to new physics and discoveries.
This thesis describes the growth and characterization of epitaxial MnSi thin films on Si substrates. The interest in this material system stems from the rich magnetic phase diagram resulting from the noncentrosymmetric B20 crystal structure. Here neighboring spins prefer a tilted relative arrangement in contrast to ferro- and antiferromagnets, which leads to a helical ground state where crystal and spin helix chirality are linked [IEM+85]. This link makes the characterization and control of the crystal chirality the main goal of this thesis.
After a brief description of the material properties and applied methods, the thesis itself is divided into four main parts. In the first part the advancement of the MBE growth process of MnSi on Si\((111)\) substrate as well as the fundamental structural characterization are described. Here the improvement of the substrate interface by an adjusted substrate preparation process is demonstrated, which is the basis for well ordered flat MnSi layers. On this foundation the influence of Mn/Si flux ratio and substrate temperature on the MnSi layer growth is investigated via XRD and clear boundaries to identify the optimal growth conditions are determined. The nonstoichiometric phases outside of this optimal growth window are identified as HMS and Mn\(_5\)Si\(_3\).
Additionally, a regime at high substrate temperatures and low Mn flux is discovered, where MnSi islands are growing incorporated in a Si layer, which could be interesting for further investigations as a size confinement can change the magnetic phase diagram [DBS+18]. XRD measurements demonstrate the homogeneity of the grown MnSi layers over most of the 3 inch wafer diameter and a small \(\omega\)-FWHM of about 0.02° demonstrates the high quality of the layers. XRD and TEM measurements also show that relaxation of the layers happens via misfit dislocations at the interface to the substrate.
The second part of the thesis is concerned with the crystal chirality. Here azimuthal \(\phi\)-scans of asymmetric XRD reflections reveal twin domains with a \(\pm\)30° rotation to the substrate. These twin domains seem to consist of left and right-handed MnSi, which are connected by a mirror operation at the \((\bar{1}10)\) plane. For some of the asymmetric XRD reflections this results in different intensities for the different twin domains, which reveals that one of the domains is rotated +30° and the other is rotated -30°. From XRD and TEM measurements an equal volume fraction of both domains is deduced. Different mechanisms to suppress these twin domains are investigated and successfully achieved with the growth on chiral Si surfaces, namely Si\((321)\) and Si\((531)\). Azimuthal \(\phi\)-scans of asymmetric XRD reflections demonstrate a suppression of up to 92%. The successful twin suppression is an important step in the use of MnSi for the proposed spintronics applications with skyrmions as information carriers, as discussed in the introduction.
Because of this achievement, the third part of the thesis on the magnetic properties of the MnSi thin films is not only concerned with the principal behavior, but also with the difference between twinned and twin suppressed layers. Magnetometry measurements are used to demonstrate, that the MnSi layers behave principally as expected from the literature. The analysis of saturation and residual magnetization hints to the twin suppression on Si\((321)\) and Si\((531)\) substrates and further investigations with more samples can complete this picture. For comparable layers on Si\((111)\), Si\((321)\) and Si\((531)\) the Curie-Weiss temperature is identical within 1 K and the critical field within 0.1 T.
Temperature dependent magnetoresistivity measurements also demonstrate the expected \(T^2\) behavior not only on Si\((111)\) but also on Si\((321)\) substrates. This demonstrates the successful growth of MnSi on Si\((321)\) and Si\((531)\) substrates. The latter measurements also reveal a residual resistivity of less then half for MnSi on Si\((321)\) in comparison to Si\((111)\). This can be explained with the reduced number of domain boundaries demonstrating the successful suppression of one of the twin domains. The homogeneity of the residual resistivity as well as the charge carrier density over a wide area of the Si\((111)\) wafer is also demonstrated with these measurements as well as Hall effect measurements.
The fourth part shows the AMR and PHE of MnSi depending on the angle between in plane current and magnetic field direction with respect to the crystal direction. This was proposed as a tool to identify skyrmions [YKT+15]. The influence of the higher C\(_{3\mathrm{v}}\) symmetry of the twinned system instead of the C\(_3\) symmetry of a B20 single crystal is demonstrated. The difference could serve as a useful additional tool to prove the twin suppression on the chiral substrates. But this is only possible for rotations with specific symmetry surfaces and not for the studied unsymmetrical Si\((321)\) surface. Measurements for MnSi layers on Si\((111)\) above the critical magnetic field demonstrate the attenuation of AMR and PHE parameters for increasing resistivity, as expected from literature [WC67]. Even if a direct comparison to the parameters on Si\((321)\) is not possible, the higher values of the parameters on Si\((321)\) can be explained considering the reduced charge carrier scattering from domain boundaries. Below the critical magnetic field, which would be the region where a skyrmion lattice could be expected, magnetic hysteresis complicates the analysis. Only one phase transition at the critical magnetic field can be clearly observed, which leaves the existence of a skyrmion lattice in thin epitaxial MnSi layers open.
The best method to solve this question seems to be a more direct approach in the form of Lorentz-TEM, which was also successfully used to visualize the skyrmion lattice for thin plates of bulk MnSi [TYY+12]. For the detection of in plane skyrmions, lamellas would have to be prepared for a side view, which seems in principle possible.
The demonstrated successful twin suppression for MnSi on Si\((321)\) and Si\((531)\) substrates may also be applied to other material systems.
Suppressing the twinning in FeGe on Si\((111)\) would lead to a single chirality skyrmion lattice near room temperature [HC12]. This could bring the application of skyrmions as information carriers in spintronics within reach.
Glossary:
MBE Molecular Beam Epitaxy
XRD X-Ray Diffraction
HMS Higher Manganese Silicide
FWHM Full Width Half Maximum
TEM Tunneling Electron Microscopy
AMR Anisotropic MagnetoResistance
PHE Planar Hall Effect
Bibliography:
[IEM+85] M. Ishida, Y. Endoh, S. Mitsuda, Y. Ishikawa, and M. Tanaka. Crystal Chirality and Helicity of the Helical Spin Density Wave in MnSi. II. Polarized Neutron Diffraction. Journal of the Physical Society of Japan, 54(8):2975, 1985.
[DBS+18] B. Das, B. Balasubramanian, R. Skomski, P. Mukherjee, S. R. Valloppilly, G. C. Hadjipanayis, and D. J. Sellmyer. Effect of size confinement on skyrmionic properties of MnSi nanomagnets. Nanoscale, 10(20):9504, 2018.
[YKT+15] T. Yokouchi, N. Kanazawa, A. Tsukazaki, Y. Kozuka, A. Kikkawa, Y. Taguchi, M. Kawasaki, M. Ichikawa, F. Kagawa, and Y. Tokura. Formation of In-plane Skyrmions in Epitaxial MnSi Thin Films as Revealed by Planar Hall Effect. Journal of the Physical Society of Japan, 84(10):104708, 2015.
[WC67] R. H. Walden and R. F. Cotellessa. Magnetoresistance of Nickel-Copper Single-Crystal Thin Films. Journal of Applied Physics, 38(3):1335, 1967.
[TYY+12] A. Tonomura, X. Yu, K. Yanagisawa, T. Matsuda, Y. Onose, N. Kanazawa, H. S. Park, and Y. Tokura. Real-Space Observation of Skyrmion Lattice in Helimagnet MnSi Thin Samples. Nano Letters, 12(3):1673, 2012.
[HC12] S. X. Huang and C. L. Chien. Extended Skyrmion Phase in Epitaxial FeGe(111) Thin Films. Physical Review Letters, 108(26):267201, 2012.
In response to the 2013 Update of the European Strategy for Particle Physics (EPPSU), the Future Circular Collider (FCC) study was launched as a world-wide international collaboration hosted by CERN. The FCC study covered an energy-frontier hadron collider (FCC-hh), a highest-luminosity high-energy lepton collider (FCC-ee), the corresponding 100 km tunnel infrastructure, as well as the physics opportunities of these two colliders, and a high-energy LHC, based on FCC-hh technology. This document constitutes the third volume of the FCC Conceptual Design Report, devoted to the hadron collider FCC-hh. It summarizes the FCC-hh physics discovery opportunities, presents the FCC-hh accelerator design, performance reach, and staged operation plan, discusses the underlying technologies, the civil engineering and technical infrastructure, and also sketches a possible implementation. Combining ingredients from the Large Hadron Collider (LHC), the high-luminosity LHC upgrade and adding novel technologies and approaches, the FCC-hh design aims at significantly extending the energy frontier to 100 TeV. Its unprecedented centre-of-mass collision energy will make the FCC-hh a unique instrument to explore physics beyond the Standard Model, offering great direct sensitivity to new physics and discoveries.