The Excitation of the Global Symmetry-Breaking Vacuum in Composite Higgs Models

Abstract

We consider scenarios of Higgs compositeness where the Higgs doublet arises as a pseudo-Nambu Goldstone boson. Our focus is the physical scalar ("radial") excitation associated with the global symmetry breaking vacuum, which we call the "global Higgs". For the minimal case of a $SO(5)/SO(4)$ coset, the couplings of the global Higgs to Standard Model (SM) particles are fully determined by group theoretical factors and two decay constants. The global Higgs also couples to the composite resonances of the theory, inducing an interaction with the SM gauge bosons at one-loop. We thoroughly analyze representative fermionic sectors, considering a global Higgs both in the $5$ and $14$ representations of $SO(5)$ and taking into account the renormalization group evolution of couplings in the composite sector. We derive the one-loop effective couplings and all decays of the global Higgs, showing that its decay width over mass can range from $O(10^{-3})$ to $O(1)$. Because of the multiplicity of the resonances, the coupling of the global Higgs to gluons is sizeable, potentially opening a new window into composite models at the LHC.

27 pages, 2 figures. v3: References and comments added. Matches JHEP version

References in corpus (2)

• Light custodians in natural composite Higgs models
• Minimal Composite Higgs Models at the LHC

Cited by in corpus (12)

• Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
• Challenges and opportunities for heavy scalar searches in the $t\bar{t}$ channel at the LHC
• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• The linear-non-linear frontier for the Goldstone Higgs
• The Global Higgs as a Signal for Compositeness at the LHC
• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
• Toward minimal composite Higgs models from regular geometries in bottom-up holography
• Searching for anomalous top quark interactions with proton tagging and timing detectors at the LHC
• Constraints on vector resonances from a strong Higgs sector
• Physics with high-luminosity proton-nucleus collisions at the LHC
• The Radial Mode of Composite Higgs Theories at the LHC