Two-loop electroweak corrections to Higgs boson pair production

Precision calculations are essential for advancing our understanding of fundamental physics. As collider experiments achieve ever-higher accuracy, matching this precision on the theoretical side is increasingly critical. This demands sophisticated computational tools to tackle complex higher-order corrections. This thesis focuses on techniques for handling Feynman integrals which are central to these corrections. We introduce a method to compute these integrals directly in the Minkowski kinematic regime without contour deformation, demonstrating its efficiency and robustness through multi-loop examples. We also present a calculation of next-to-leading-order electroweak corrections to Higgs pair production, detailing the computational framework and presenting results for the NLO EW corrections to both total and differential cross sections. Beyond this specific calculation, the techniques outlined in this thesis have broader applications in precision collider physics. By improving the efficiency and accuracy of multi-loop calculations, they contribute to reducing theoretical uncertainties and enhancing the search for deviations from the Standard Model.