# Composite Higgs and Dark Matter Model in SU(6)/SO(6)

## TL;DR

This paper explores a composite Higgs model based on SU(6)/SO(6) symmetry, featuring dark matter candidates, two Higgs doublets, and custodial triplets, analyzing its vacuum structure, spectra, and phenomenological constraints.

## Contribution

It introduces a novel SU(6)/SO(6) composite Higgs model with dark matter candidates and detailed vacuum and spectrum analysis, including CP and dark matter parity.

## Key findings

- Model features custodial bi-triplet and two Higgs doublets.
- Vacuum structure characterized by a single angle from top partial compositeness.
- Constraints from electroweak precision tests and light CP-odd singlet.

## Abstract

We consider a realisation of composite Higgs models in the context of $SU(6)/ SO(6)$ symmetry, which features a custodial bi-triplet, two Higgs doublets and dark matter candidates. This model can arise from an underlying gauge-fermion theory. The general vacuum structure is explored using the top partial compositeness to generate a special vacuum characterised by a single angle aligned with the first Higgs doublet. We present the CP and Dark Matter $\mathbb{Z}_2$ parity in two different pNGB bases and analyse the spectra in the absence of tadpoles and tachyons. For the phenomenology, we discuss the constraints from electroweak precision tests and from a potentially light CP-odd singlet (other than the Dark Matter) in the model.