# Modification of Higgs Couplings in Minimal Composite Models

## TL;DR

This paper investigates how Higgs couplings are modified in minimal composite models, analyzing the effects of different fermionic embeddings and their implications for Higgs phenomenology at the LHC.

## Contribution

It provides a detailed analysis of Higgs coupling modifications in SO(5)/SO(4) composite models, highlighting the impact of fermionic embeddings and the relationship between tth and ggh couplings.

## Key findings

- tth and bbh couplings are suppressed in 5 and 10 embeddings
- In 14 embedding, couplings can be enhanced or suppressed
- The tth to ggh coupling ratio is typically less than the Standard Model ratio

## Abstract

We present a comprehensive study of the modifications of Higgs couplings in the SO(5)/SO(4) minimal composite model. We focus on three couplings of central importance to Higgs phenomenology at the LHC: the couplings to top and bottom quarks and the coupling to two gluons. We consider three possible embeddings of the fermionic partners in 5, 10 and 14 of SO(5) and find tth and bbh couplings to be always suppressed in 5 and 10, while in 14 they can be either enhanced or suppressed. Assuming partial compositeness, we analyze the interplay between the tth coupling and the top sector contribution to the Coleman-Weinberg potential for the Higgs boson, and the correlation between tth and ggh couplings. In particular, if the electroweak symmetry breaking is triggered radiatively by the top sector, we demonstrate that the ratio of the tth coupling in composite Higgs models over the Standard Model expectation is preferred to be less than the corresponding ratio of the ggh coupling.