Fundamental Composite 2HDM: SU(N) with 4 flavours

TL;DR

This paper introduces a new composite Higgs model based on an SU(N) gauge group with four flavors, featuring two Higgs doublets and potential dark matter candidates, with detailed analysis of top mass generation and vacuum alignment.

Contribution

The paper proposes a novel composite 2HDM based on SU(N) with four flavors, analyzing vacuum alignment, top mass generation, and dark matter stability.

Findings

Vacuum can always be aligned with one Higgs doublet.

Under certain conditions, the second doublet and triplets are stable.

The model serves as a composite inert-2HDM with dark matter candidates.

Abstract

We present a new model of composite Higgs based on a gauged SU(N) group with 4 Dirac fermions in the fundamental representation. At low energy, the model has a global symmetry SU(4)$\times$SU(4) broken to the diagonal SU(4), containing 2 Higgs doublets in the coset. We study in detail the generation of the top mass via 4-fermion interactions, and the issue of the vacuum alignment. In particular, we prove that, without loss of generality, the vacuum can always be aligned with one doublet. Under certain conditions on the top pre-Yukawas, the second doublet, together with the additional triplets, is stable and can thus play the role of Dark Matter. This model can therefore be an example of composite inert-2HDM model.