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

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.

Figures (24)

• Figure 1: The top quark $p_T$ distribution in $\mu^+\mu^- \to t {\bar{t}}$. The left (right) plot shows results at $\sqrt S=3$ TeV ($\sqrt S=10$ TeV). The histograms show $\sigma_{\rm LO}$ (blue) and $\sigma_{\rm NLO_{EW}}$ (orange) as well as predictions in the Sudakov approximation in different approaches, i.e., $\sigma_{{\rm SDK_{weak}}}$ (red) and $\sigma_{{\rm SDK_0}}$ (green).
• Figure 2: Same as Fig. \ref{['fig:mmtt_ptt']}, for the $m(t{\bar{t}})$ distribution in $\mu^+\mu^- \to t {\bar{t}}$.
• Figure 3: Same as Fig. \ref{['fig:mmtt_ptt']}, for the $p_T(W_2)$ distribution in $\mu^+\mu^- \to W^+ W^-$.
• Figure 4: Same as Fig. \ref{['fig:mmtt_ptt']}, for the $p_T(Z_2)$ distribution in $\mu^+\mu^- \to Z Z$.
• Figure 5: Same as Fig. \ref{['fig:mmtt_ptt']}, for the $p_T(H)$ distribution in $\mu^+\mu^- \to Z H$.