A Concrete Composite 2-Higgs Doublet Model

TL;DR

This paper develops a detailed composite Higgs model with two Higgs doublets, calculating their properties and potential signals at the LHC, including modifications to Higgs couplings and new resonance signatures.

Contribution

It explicitly computes the Higgs potential and phenomenology in a two-doublet composite Higgs model derived from SO(6) symmetry breaking.

Findings

Higgs potential derived at one-loop level using Coleman-Weinberg mechanism.

Predicted modifications to SM Higgs couplings and new heavy Higgs signatures.

Analysis of flavor constraints relevant to the model.

Abstract

We consider a Composite Higgs Model (CHM) with two isospin doublet Higgs fields arising as pseudo Nambu-Goldstone bosons from a ${\rm SO}(6)\to {\rm SO}(4)\times {\rm SO}(2)$ breaking. The main focus of this work is to explicitly compute the properties of these Higgses in terms of the fundamental parameters of the composite sector such as masses, Yukawa and gauge couplings of the new spin-1 and spin-1/2 resonances. Concretely, we calculate the Higgs potential at one-loop level through the Coleman-Weinberg mechanism from the explicit breaking of the ${\rm SO(6)}$ global symmetry by the partial compositeness of fermions and gauge bosons. We derive then the phenomenological properties of the Higgs states and highlight the main signatures of this Composite 2-Higgs Doublet Model at the Large Hadron Collider, including modifications to the SM-like Higgs couplings as well as production and decay channels of heavier Higgs bosons. We also consider flavour bounds that are typical of CHMs with more than one Higgs doublet.