# Implications of Vector Boson Scattering Unitarity in Composite Higgs Models

## TL;DR

This paper investigates how unitarity constraints in vector boson scattering inform the spectrum of composite resonances and non-resonant effects in Composite Higgs models, with implications for collider searches.

## Contribution

It introduces a unitarity-based approach to analyze the composite spectrum, including resonant and non-resonant effects, in realistic collider processes.

## Key findings

- Unitarity constrains the spectrum of composite resonances.
- Non-resonant effects significantly impact collider signatures.
- Potential to exclude certain Composite Higgs scenarios at hadron colliders.

## Abstract

The strong nature of Composite Higgs models manifests at high energies through the growing behavior of the scattering amplitudes of longitudinally polarized weak bosons that leads to the formation of composite resonances as well as non-resonant strong effects. In this work the unitarity of these scattering amplitudes is used as a tool to assess the profile of the composite spectrum of the theory, including non-resonant enhancements, vector resonances and the CP-even scalar excitation. These three signatures are then studied in realistic scattering processes at hadron colliders, aiming to estimate the potential to exclude dynamically motivated scenarios of Composite Higgs models.