Strong dynamics, composite Higgs and the conformal window

Abstract

We review recent progress in the lattice investigations of near-conformal non-abelian gauge theories relevant for dynamical symmetry breaking and model building of composite Higgs models. The emphasis is placed on the mass spectrum and the running renormalized coupling. The role of a light composite scalar isosinglet particle as a composite Higgs particle is highlighted.

28 pages, 1 figure. Invited review for IJMPA special issue "Lattice gauge theories beyond QCD."

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• Can the nearly conformal sextet gauge model hide the Higgs impostor?
• Twelve massless flavors and three colors below the conformal window
• Mass anomalous dimension in SU(2) with two adjoint fermions
• Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
• Low-energy effective action for pions and a dilatonic meson
• Fundamental Composite Higgs Dynamics on the Lattice: SU(2) with Two Flavors
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• Novel phase in SU(3) lattice gauge theory with 12 light fermions
• Light composite scalar in twelve-flavor QCD on the lattice
• Universality and the approach to the continuum limit in lattice gauge theory
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• Scale-dependent mass anomalous dimension from Dirac eigenmodes
• Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Mesonic spectroscopy of Minimal Walking Technicolor
• Lattice study of conformality in twelve-flavor QCD
• Two Lectures on Technicolor
• 125 GeV Higgs from a not so light Technicolor Scalar
• Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
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• Determining the conformal window: SU(2) gauge theory with N_f = 4, 6 and 10 fermion flavours
• Scaling relations for the entire spectrum in mass-deformed conformal gauge theories
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• Finite-size scaling tests for spectra in SU(3) lattice gauge theory coupled to 12 fundamental flavor fermions
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Composite Higgs model at a conformal fixed point
• Mass anomalous dimension in SU(2) with six fundamental fermions
• Comments on lattice gauge theories with infrared-attractive fixed points
• Thermodynamics of lattice QCD with 2 flavours of colour-sextet quarks: A model of walking/conformal Technicolor
• Improved Lattice Spectroscopy of Minimal Walking Technicolor
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Finite size scaling of conformal theories in the presence of a near-marginal operator
• Improving the continuum limit of gradient flow step scaling
• Lectures on walking technicolor, holography and gauge/gravity dualities
• On the particle spectrum and the conformal window
• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• The Technicolor Higgs in the Light of LHC Data
• SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis
• Large volumes and spectroscopy of walking theories
• Mass anomalous dimension in sextet QCD
• Two-Color Theory with Novel Infrared Behavior
• Lattice Radial Quantization: 3D Ising
• Near the sill of the conformal window: gauge theories with fermions in two-index representations
• Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours
• Running coupling in SU(2) gauge theory with two adjoint fermions
• Finite size scaling in minimal walking technicolor
• Thermodynamics of lattice QCD with 2 sextet quarks on N_t=8 lattices
• Chiral effective theory with a light scalar and lattice QCD
• Orthogonal Technicolor with Isotriplet Dark Matter on the Lattice
• Mass anomalous dimension of Adjoint QCD at large N from twisted volume reduction
• The renormalization group step scaling function of the 2-flavor SU(3) sextet model
• The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box
• The Schroedinger functional coupling in quenched QCD at low energies
• Gradient Flow Coupling in the SU(2) gauge theory with two adjoint fermions
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• Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theories
• Technicolor Signals at the LHC
• Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks
• A novel approach to the study of conformality in the SU(3) theory with multiple flavors
• Can a light Higgs impostor hide in composite gauge models?
• Effective field theory for pions and a dilatonic meson
• The chiral phase transition for lattice QCD with 2 colour-sextet quarks
• Toward the minimal realization of a light composite Higgs
• Conformal finite size scaling of twelve fermion flavors
• Lattice radial quantization by cubature
• The chiral condensate from the Dirac spectrum in BSM gauge theories
• Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks II: N_t=6 and N_t=8
• Baryon spectrum in the composite sextet model
• Running coupling in SU(2) with adjoint fermions
• Conformal symmetry vs. chiral symmetry breaking in the SU(3) sextet model
• Approaching the conformal window: systematic study of the particle spectrum in SU(2) field theory with Nf=2, 4 and 6
• Renormalizability of the Schrödinger Functional

Cited by in corpus (33)

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Walking, Weak first-order transitions, and Complex CFTs
• Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
• On the order of the QCD chiral phase transition for different numbers of quark flavours
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• The large-mass regime of the dilaton-pion low-energy effective theory
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Gluequark Dark Matter
• Asymptotic behavior of cutoff effects in Yang-Mills theory and in Wilson's lattice QCD
• Effective potential in ultraviolet completions for composite Higgs models
• Application of dilaton chiral perturbation theory to $N_f=8$, $\mathrm{SU}(3)$ spectral data
• Large scale separation and resonances within LHC range from a prototype BSM model
• Large scale separation and hadronic resonances from a new strongly interacting sector
• Explorations beyond dilaton chiral perturbation theory in the eight-flavor SU(3) gauge theory
• Looking behind the Standard Model with lattice gauge theory
• Gradient flow step-scaling function for SU(3) with twelve flavors
• Continuous renormalization group $\beta$ function from lattice simulations
• Emergent strongly coupled ultraviolet fixed point in four dimensions with 8 Kähler-Dirac fermions
• Dilaton and Massive Hadrons in a Conformal Phase
• The spectrum and mass anomalous dimension of SU(2) adjoint QCD with two Dirac flavours
• Gradient flow step-scaling function for SU(3) with ten fundamental flavors
• Determination of ${\alpha }_s(m_Z)$ by the non-perturbative decoupling method
• Infrared fixed point of SU(2) gauge theory with six flavors
• A linear sigma model for multiflavor gauge theories
• The $\epsilon$-regime of dilaton chiral perturbation theory
• Slope of the beta function at the fixed point of SU(2) gauge theory with six or eight flavors
• Mass splittings in a linear sigma model for multiflavor gauge theories
• Finite-size scaling for four-dimensional Higgs-Yukawa model near the Gaussian fixed point
• Center vortices and the $\mathrm{SU}(3)$ conformal window
• Studies of Conformal Behavior in Strongly Interacting Quantum Field Theories
• Weakly coupled conformal gauge theories on the lattice
• Critical behavior of SU(3) lattice gauge theory with 12 light flavors