The Dynamical Composite Higgs

Abstract

We present a simple microscopic realization of a pseudo-Nambu-Goldstone (pNGB) boson Higgs scenario arising from the breaking of $SO(5)\to SO(4)$. The Higgs constituents are explicitly identified as well as the interactions responsible for forming the bound state and breaking the electroweak symmetry. This outcome follows from the presence of four-fermion interactions with a super-critical coupling, and uses the Nambu-Jona-Lasinio mechanism to break the global $SO(5)$ symmetry. The Higgs potential is found to be insensitive to high energy scales due to the existence of an approximate infrared fixed point. The appearance of vector resonances is described and the correspondence with other proposals in the literature established. The model described here is significantly simpler than other recent ultraviolet completions of pNGB scenarios. The observed Higgs mass can be accommodated, and agreement with electroweak precision tests achieved in certain regions of parameter space. There are also new vector-like fermions, some of which may lie within reach of the LHC. In addition, we predict a heavy standard model singlet scalar in the multi-TeV range. The amount of fine-tuning required in the model is studied. Finally, we show that such a scheme can be completed in the ultraviolet by a renormalizable theory.

32 pages plus appendices, 7 figures - reference added

References in corpus (13)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The global electroweak fit at NNLO and prospects for the LHC and ILC
• Measurement of the Higgs boson mass from the $H\to \gamma \gamma$ and $H\to Z{Z}^{\ast }\to 4\ell$ channels with the ATLAS detector using 25 fb${}^{-1}$ of $pp$ collision data
• The Higgs boson from an extended symmetry
• Minimal Composite Higgs Models at the LHC
• On the Flavor Structure of Natural Composite Higgs Models & Top Flavor Violation
• Phenomenological aspects of supersymmetric composite Higgs models
• Top Seesaw with a Custodial Symmetry, and the 126 GeV Higgs
• A Composite Higgs Model with Minimal Fine-Tuning I.~The Large-N and Weak-technicolor Limit
• Fine Tuning in the Holographic Minimal Composite Higgs Model
• Unitarity in composite Higgs approaches with vector resonances
• Vacuum Alignment of the Top-Mode Pseudo-Nambu-Goldstone Boson Higgs Model

Cited by in corpus (2)

• The linear-non-linear frontier for the Goldstone Higgs
• The Global Higgs as a Signal for Compositeness at the LHC