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

Understand

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.