# The Minimal Simple Composite Higgs Model

## TL;DR

This paper introduces an extended composite Higgs model based on the SO(7)/SO(6) coset, predicting new resonances and a potential dark matter candidate, with distinctive phenomenology at the LHC.

## Contribution

It proposes a novel composite Higgs model with a different symmetry breaking pattern, leading to new particles and dark matter candidates.

## Key findings

- Predicts a new complex pNGB with hypercharge and TeV-scale mass.
- Identifies new bosonic and fermionic resonances with exotic charges.
- Suggests potential dark matter candidates among the stable resonances.

## Abstract

Most of the analysis of composite Higgs have focussed on the Minimal Composite Higgs Model, based on the coset SO(5)$\times$U(1)$_X$/SO(4)$\times$U(1)$_X$. We consider a model based on the coset of simple groups SO(7)/SO(6), with SO(4)$\times$U(1)$_X$ embedded into SO(6). This extension of the minimal model leads to a new complex pNGB that has hypercharge and is a singlet of SU(2)$_L$, with properties mostly determined by the pattern of symmetry breaking and a mass of order TeV. Composite electroweak unification also leads to new bosonic and fermion resonances with exotic charges, not present in the minimal model. The lightest of these resonances is stable, and in some cases could provide candidates for dark matter. A new rich phenomenology is expected at LHC.