Precision calculations for electroweak multi-boson processes

TL;DR

This paper reviews next-to-leading-order QCD and electroweak corrections for multi-boson processes at the LHC, highlighting the significant impact of electroweak effects on cross sections.

Contribution

It provides detailed calculations of electroweak corrections for specific multi-boson processes and compares approximation methods to full off-shell results.

Findings

Electroweak corrections can reduce cross sections by up to 16%.

The vector-boson scattering approximation closely reproduces full off-shell calculations.

Electroweak effects are substantial even in integrated cross sections.

Abstract

We review the salient features of next-to-leading-order QCD and electroweak corrections to the scattering of two and the production of three weak gauge bosons at the Large Hadron Collider. Results for the tower of $O(\alpha_s^m\alpha^n)$ corrections are shown for the exemplary processes of like-sign WW scattering and triple-W production, emphasizing the large impact of purely electroweak corrections which generically grow to $\sim-16\%$ and $\sim-7\%$ for these process types, respectively, even for integrated cross sections. Moreover, we discuss the possibility to reproduce the results of full off-shell calculations by the "vector-boson scattering approximation", "leading-pole approximations", and the "effective vector-boson approximation".