Electroweak Sudakov corrections for processes at a future Muon Collider

Precision calculations are crucial for the validation or falsification of our understanding of fundamental interactions at colliders. One relevant aspect for present and future colliders is the impact of effects coming from electroweak (EW) corrections. In this thesis, we study the structure of the so-called virtual Electroweak Sudakov logarithms, which are the dominant contribution of EW higher-order corrections in the high-energy regime. In particular, we investigate the phenomenological impact for production processes at a future high-energy muon collider, for which EW Sudakov logarithms are expected to be very large. After reviewing the structure of the Denner and Pozzorini (DP) algorithm for the calculation of EW Sudakov logarithms, and its recent revisitation in the literature, we (re)produce results for a proton–proton machine at 100 TeV. Then we consider the case of a muon collider at 3, 10 and 30 TeV. We therefore comment the results obtained for relevant representative processes, and we discuss the phenomenological differences with respect to the proton–proton machine. Finally, we study the partial cancellations induced by the Heavy-Boson-Radiation (HBR) at a high-energy muon collider. In the thesis, we show several numerical results for both differential and inclusive cross sections, which we have produced with the help of the MadGraph framework.