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%0 Thesis %A Simon, Lukas %T Precision phenomenology in higgs-strahlung with fully-differential cross sections at next-to-next-to-leading order %I RWTH Aachen University %V Dissertation %C Aachen %M RWTH-2023-11269 %P 1 Online-Ressource : Illustrationen %D 2023 %Z Veröffentlicht auf dem Publikationsserver der RWTH Aachen University 2024 %Z Dissertation, RWTH Aachen University, 2023 %X In this thesis, we present the novel Monte Carlo Event Generator <tt>history</tt> which is designed to predict fully-differential cross sections for color-singlet final states at next-to-next-to-leading order accuracy in perturbative quantum chromodynamics. This precision level is achieved through the application of the Nested Soft-Collinear Subtraction scheme, a fully local method to subtract infrared divergences that arise during phase-space integrations. We review the concepts behind this scheme and present the essential components which are crucial for a practical implementation. This includes a collection of the explicit expressions for all subtraction functions that are substantial for arbitrary color-singlet-production processes initiated by a quark-antiquark pair at leading order. Furthermore, we outline the adopted phase-space parametrization, that originally has been introduced in the <tt>STRIPPER</tt> framework. In conclusion, we obtain a flexible program that enables fast and numerically stable evaluations of higher-order corrections. The code of <tt>history</tt> contains a process-independent implementation of the subtraction scheme that has to be combined with process-specific matrix elements. The current version provides a phenomenological application to Higgs boson production in association with a weak gauge boson in hadron collisions. Thereby, the focus lies on the Drell-Yan-like production mechanism, pp → V<sup>∗</sup> → VH, where V represents either a W or a Z boson, but also the loop-induced gluon-fusion process, which exclusively contributes to ZH production, is included at <i>O</i>(α<sub>s</sub><sup>2</sup>). Cross-section predictions can be made within the Standard Model and in theories beyond the Standard Model. Particularly, the Two-Higgs-Doublet Model and the B-L Model are accessible. Finally, we validate the correctness of the software with cross-checks against established results within the Standard Model and illustrate first physical applications that are affected by New Physics scenarios to demonstrate the potential of <tt>history</tt> as a versatile tool for fully-differential cross-section computations with high precision. %F PUB:(DE-HGF)11 %9 Dissertation / PhD Thesis %R 10.18154/RWTH-2023-11269 %U https://publications.rwth-aachen.de/record/974370