Softened Goldstone-Symmetry Breaking

Abstract

We propose a new way of breaking the Goldstone symmetry in composite Higgs models, restoring the global symmetry in the mixings between the elementary and composite fermions by completing the former to full representations of this symmetry. The Goldstone symmetry is in turn broken softly by vector-like mass terms in the {\it elementary} sector only. The resulting softened explicit breaking allows for a light Higgs boson, as found at the LHC, and a heavy top quark, without the need of light top partners around the Goldstone scale $f\sim \mathrm{TeV}\ll m_{comp.}$, which remain elusive at the LHC, while we recover the standard scenario in the limit of infinite vector-like masses.

arXiv comment14 pages, 5 figures

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• SU(6) Gauge-Higgs Grand Unification: Minimal Viable Models and Flavor
• A Natural Composite Higgs via Universal Boundary Conditions
• Supersoft Stops
• The Hierarchy Problem and the Top Yukawa: An Alternative to Top Partner Solutions
• Convergent Bayesian Global Fits of 4D Composite Higgs Models
• Softly shifting away from dark matter direct detection
• The quantum criticality of the Standard Model and the hierarchy problem
• Holographic Composite Higgs Model Building: Soft Breaking, Maximal Symmetry, and the Higgs Mass
• Restoring Naturalness via Conjugate Fermions