EW corrections and Heavy Boson Radiation at a high-energy muon collider

TL;DR

This paper analyzes electroweak corrections and heavy boson radiation at a high-energy muon collider, comparing approximation methods and assessing the significance of boson emissions at multi-TeV energies.

Contribution

It provides a detailed comparison of Sudakov approximation accuracy, evaluates the importance of EW Sudakov logarithm resummation, and examines heavy boson radiation effects using automated computational tools.

Findings

Sudakov approximation is accurate within certain energy ranges.

Resummation of EW Sudakov logarithms is relevant at multi-TeV energies.

Heavy boson radiation significantly impacts collider phenomenology.

Abstract

In this work we investigate several phenomenological and technical aspects related to electroweak (EW) corrections at a high-energy muon collider, focusing on direct production processes (no VBF configurations). We study in detail the accuracy of the Sudakov approximation, in particular the Denner-Pozzorini algorithm, comparing it with exact calculations at NLO EW accuracy. We also assess the relevance of resumming EW Sudakov logarithms (EWSL) at 3 and 10 TeV collisions. Furthermore, we scrutinise the impact of additional Heavy Boson Radiation (HBR), namely the weak emission of $W, Z$, and Higgs bosons in inclusive and semi-inclusive configurations. All results are obtained via the fully automated and publicly available code MadGraph5_aMC@NLO.