The Minimal Simple Composite Higgs Model

Abstract

Most of the analysis of composite Higgs have focussed on the Minimal Composite Higgs Model, based on the coset SO(5)$\times$U(1)${}_X$/SO(4)$\times$U(1)${}_X$. We consider a model based on the coset of simple groups SO(7)/SO(6), with SO(4)$\times$U(1)${}_X$ embedded into SO(6). This extension of the minimal model leads to a new complex pNGB that has hypercharge and is a singlet of SU(2)${}_L$, with properties mostly determined by the pattern of symmetry breaking and a mass of order TeV. Composite electroweak unification also leads to new bosonic and fermion resonances with exotic charges, not present in the minimal model. The lightest of these resonances is stable, and in some cases could provide candidates for dark matter. A new rich phenomenology is expected at LHC.

arXiv comment39 pages, 9 figures, v2, published version, we have added discussions concerning the lightest state and a new representation for fermions, references added

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• Supercool Composite Dark Matter Beyond 100 TeV
• A Minimal Model for Neutral Naturalness and pseudo-Nambu-Goldstone Dark Matter
• Composite dark matter phenomenology in the presence of lighter degrees of freedom
• An Exceptional G(2) Extension of the Standard Model from the Correspondence with Cayley-Dickson Algebras Automorphism Groups
• Softly shifting away from dark matter direct detection
• The Resurgence of the G(2) Group for the Strong Sector and the Emergence of Dark Matter
• Following the muon track of hierarchical sectors at LHCb