Books

This thesis presents the search for heavy neutral Higgs bosons, produced in associationwith b-quarks and decaying into a b-quark pair in proton-proton collisions at a centre-ofmassenergy of 13 TeV at the LHC with the CMS detector. The process is chosen, giventhat a considerable enhancement of the coupling to b-quarks is possible in theories beyondthe Standard Model, such as the Minimal Supersymmetric extension of the StandardModel (MSSM) and the Two Higgs Doublet Model (2HDM). [...]

This thesis presents differential and total charm cross section measurements at various centerof-mass energies in pp collisions. For the purpose of measuring the total charm cross section,the D∗+ differential cross sections are measured at √s = 7, 0.9 and 13 TeV in the CMSdetector by covering the largest possible phase space, resulting in the smallest extrapolationfactor ever introduced at the LHC. [...]

The MSSM is one of the most promising extensions of the SM. In the MSSM, the masses of the Higgs bosons can be predicted in terms of the other model parameters.In this thesis, we calculate for the first time the full electroweak two-loop contributions of $\mathcal{O}((\alpha_\text{em} + \alpha_\text{q})^2 N_c^2)$ to the MSSM Higgs boson masses using a Feynman-diagrammatic approach including the full dependence on the external momentum.These corrections are expected to constitute the dominant part of the two-loop corrections that were still missing up to now. [...]

Monte Carlo simulations are an important tool in high-energy physics, e.g. to test the predictions of theory models or to infer a priori unknown parameters of the models. [...]

Feynman integrals are central to the calculation of scattering amplitudes both in particle and gravitationalwave physics. This thesis presents advancements in both the analytical and algebraicstructure of these integrals and shows how this can be used for efficient evaluation of these integrals.Paper I. [...]

Precision measurements of Standard Model processes are a fundamental part of experimental particle physics. Diboson channels at the Large Hadron Collider (LHC) are interesting processes for precision measurements since the relatively high cross-sections and low background contamination allow for small uncertainties. [...]

Astronomy, perhaps the first of the sciences, was already well developed by the time of Christ. Seventeen centuries later, after Newton showed that the movements of the planets could be explained in terms of gravitation, it became the paradigm for the mathematical sciences. [...]

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. [...]

Quantum Theory is the most revolutionary discovery in physics since Newton. This book gives a lucid, exciting, and accessible account of the surprising and counterintuitive ideas that shape our understanding of the sub-atomic world. [...]