Modelling strong interactions and longitudinally polarized vector boson scattering

TL;DR

This paper analyzes how 5D warped models describe the unitarity of longitudinal vector boson scattering, connecting the Higgs and vector resonances to the underlying geometry, and bridging composite and Higgsless scenarios.

Contribution

It provides a detailed study of vector boson scattering in 5D warped models, identifying key scales and linking them to the warp factor, thus offering a unified description of different electroweak symmetry breaking scenarios.

Findings

Three scales govern the scattering dynamics.

Models interpolate between composite Higgs and Higgsless limits.

Holographic approach relates 5D models to 4D strongly coupled sectors.

Abstract

We study scattering of the electroweak gauge bosons in 5D warped models. Within two different models we determine the precise manner in which the Higgs boson and the vector resonances ensure the unitarity of longitudinal vector boson scattering. We identify three separate scales that determine the dynamics of the scattering process in all cases. For a quite general background geometry of 5D, these scales can be linked to a simple functional of the warp factor. The models smoothly interpolate between a `composite' Higgs limit and a Higgsless limit. By holographic arguments, these models provide an effective description of vector boson scattering in 4D models with a strongly coupled electroweak breaking sector.