# Higgs boson compositeness: from $e^+e^-\to ZH$ to $e^+e^-\to Z_L,W_L +anything $

## TL;DR

This paper explores how a composite Higgs boson could lead to observable form factors affecting various electroweak processes at electron-positron colliders, revealing potential signs of Higgs compositeness.

## Contribution

It introduces the concept of form factors from Higgs compositeness impacting multiple collider processes, providing a framework for experimental tests of Higgs structure.

## Key findings

- Observable effects in $e^+e^- o ZH$ due to form factors.
- Significant modifications in $e^+e^- o Z_L+anything$ processes.
- Altered $W^+W^-$ production and other collider signatures.

## Abstract

We assume that the Higgs doublet has a composite structure, respecting the main standard model properties, and therefore called Composite Standard Model (CSM), but leading (through Goldstone equivalence) to $Z_L$ and $W_L$ form factors. We illustrate how such a form factor affecting the $ZZ_LH$ coupling will be directly observable in $e^+e^-\to ZH$. We then show the spectacular consequences which would appear in the inclusive processes $e^+e^-\to Z_L+anything $. Such a form factor could also affect the $\gamma W^+_LW^-_L$ and $Z W^+_LW^-_L$ vertices and we show what effects this would generate in $e^+e^-\to W^+W^-$ (especially in $e^+e^-_R\to W^+_LW^-_L$) and in $e^+e^-\to W_L+anything $. We finally mention the $\gamma\gamma\to W^+W^-$ process and several other processes in hadronic collisions which could be similarly affected.