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

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.

Comments: 46 pages, 3 figures and 2 tables; v2 We add some discussion for unequal TF singlet masses and typos are corrected; v3 the final version accepted by JHEP