Fundamental Composite Electroweak Dynamics: Status at the LHC

Abstract

We determine the current status of the fundamental composite electroweak dynamics paradigm after the discovery of the Higgs boson at the Large Hadron Collider experiments. Our analysis serves as universal and minimal template for a wide class of models with the two limits in parameter space being composite Goldstone Higgs models and Technicolor. This is possible because of the existence of a unified description, both at the effective and fundamental Lagrangian levels, of models of composite Higgs dynamics where the Higgs boson 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 constrain the available parameter space at the effective Lagrangian level. We show that a wide class of models of fundamental composite electroweak dynamics, including Technicolor, are compatible with experiments. The results are relevant for future searches of a fundamental composite nature of the Higgs mechanism at the Large Hadron Collider.

30 pages, 8 figures

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• Partially composite Higgs models: Phenomenology and RG analysis
• The renormalization group step scaling function of the 2-flavor SU(3) sextet model
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• Minimal Fundamental Partial Compositeness
• Dark matter in (partially) composite Higgs models
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• Improving Fine-tuning in Composite Higgs Models
• Tera-Zooming in on light (composite) axion-like particles
• Exploring extended Higgs sectors via pair production at the LHC
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• Implications of Vector Boson Scattering Unitarity in Composite Higgs Models
• Uncovering new strong dynamics via topological interactions at the 100 TeV collider
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• ${\beta }_{IR}^{\prime }$ at an Infrared Fixed Point in Chiral Gauge Theories
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• Partial compositeness under precision scrutiny
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