Bound-state/elementary-particle duality in the Higgs sector and the case for an excited 'Higgs' within the standard model

Abstract

Though being weakly interacting, QED can support bound states. In principle, this can be expected for the weak interactions in the Higgs sector as well. In fact, it has been argued long ago that there should be a duality between bound states and the elementary particles in this sector, at least in leading order in an expansion in the Higgs condensate. Whether this remains true beyond the leading order is investigated using lattice simulations, and support is found. This provides a natural interpretation of peaks in cross sections as bound states. Unambiguously, this would imply the existence of (possibly very broad) resonances of Higgs and W and Z bound states within the standard model.

15 pages, 3 figures v2: added appendix with technical details, some minor improvements

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• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
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• On the Ambiguity of Spontaneously Broken Gauge Symmetry
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• Brout-Englert-Higgs physics: From foundations to phenomenology
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• Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory
• Impact of generalized Yukawa interactions on the lower Higgs mass bound
• On the observable spectrum of theories with a Brout-Englert-Higgs effect
• Gauge-invariant description of the Higgs resonance and its phenomenological implications
• Predicting the singlet vector channel in a partially Higgsed gauge theory
• A spectroscopical analysis of the phase diagram of Yang-Mills-Higgs theory
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• The spectrum of an SU(3) gauge theory with a fundamental Higgs field
• Analytical relations for the bound state spectrum of gauge theories with a Brout-Englert-Higgs mechanism
• Asymptotically free scaling solutions in nonabelian Higgs models
• Nonabelian Higgs models: paving the way for asymptotic freedom
• Gauge invariance and the physical spectrum in the two-Higgs-doublet model
• Exploratory study of the off-shell properties of the weak vector bosons
• Higgs stability-bound and fermionic dark matter
• Pair production processes and flavor in gauge-invariant perturbation theory
• Asymptotic freedom in $Z_2$-Yukawa-QCD models
• Higgs and W boson spectrum from lattice simulations
• On the Landau-gauge adjoint quark propagator
• Vector boson scattering from the lattice
• A composite massless vector boson
• Evidences for a pseudo scalar resonance at 400 GeV Possible interpretations
• Phase structure and the gluon propagator of SU(2) gauge-Higgs model in two dimensions
• Constraining the Higgs valence contribution in the proton
• Center phase transition from matter propagators in (scalar) QCD
• The quenched SU(2) fundamental scalar propagator in minimal Landau gauge
• Testing the mechanism of lepton compositness
• The Fröhlich-Morchio-Strocchi mechanism: A underestimated legacy