Fundamental Composite (Goldstone) Higgs Dynamics

Abstract

We provide a unified description, both at the effective and fundamental Lagrangian level, of models of composite Higgs dynamics where the Higgs itself can emerge, depending on the way the electroweak symmetry is embedded, either as a pseudo-Goldstone boson or as a massive excitation of the condensate. We show that, in general, these states mix with repercussions on the electroweak physics and phenomenology. Our results will help clarify the main differences, similarities, benefits and shortcomings of the different ways one can naturally realize a composite nature of the electroweak sector of the Standard Model. We will analyze the minimal underlying realization in terms of fundamental strongly coupled gauge theories supporting the flavor symmetry breaking pattern SU(4)/Sp(4) $\sim$ SO(6)/SO(5). The most minimal fundamental description consists of an SU(2) gauge theory with two Dirac fermions transforming according to the fundamental representation of the gauge group. This minimal choice enables us to use recent first principle lattice results to make the first predictions for the massive spectrum for models of composite (Goldstone) Higgs dynamics. These results are of the upmost relevance to guide searches of new physics at the Large Hadron Collider.

31 pages. v2: reference added, to appear on JHEP. v3: minor typos

References in corpus (21)

• The Minimal Composite Higgs Model
• Beyond the Minimal Composite Higgs Model
• Fermionic UV completions of Composite Higgs models
• The Other Natural Two Higgs Doublet Model
• Decaying Dark Matter can explain the electron/positron excesses
• Composite Higgs from Higher Representations
• UV descriptions of composite Higgs models without elementary scalars
• Composite Scalar Dark Matter
• Phase diagram of SU(2) with 2 flavors of dynamical adjoint quarks
• The Intermediate Higgs
• UV Completions of Composite Higgs Models with Partial Compositeness
• Determining the conformal window: SU(2) gauge theory with N_f = 4, 6 and 10 fermion flavours
• Stable Higgs Bosons as Cold Dark Matter
• A Very Light Dilaton
• Enhanced Global Symmetry Constraints on epsilon Terms
• Higher representations on the lattice: perturbative studies
• Study of the Change from Walking to Non-Walking Behavior in a Vectorial Gauge Theory as a Function of Nf
• Light Dilaton at Fixed Points and Ultra Light Scale Super Yang Mills
• Conformal House
• Jumping Dynamics
• Mass and width of a composite Higgs boson

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