The Composite Nambu-Goldstone Higgs

Abstract

The composite Higgs scenario, in which the Higgs emerges as a composite pseudo-Nambu-Goldstone boson, is extensively reviewed in these Notes. The material is presented in a pedagogical fashion, with great emphasis on the conceptual and technical foundations of the construction. A comprehensive summary of the flavor, collider and electroweak precision phenomenology is also presented.

Monograph prepared for Springer Lecture Notes in Physics; v2: typos corrected, published version

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• A custodial symmetry for Zbb
• Light custodians in natural composite Higgs models
• Search for high-mass dilepton resonances in pp collisions at sqrt(s) = 8 TeV with the ATLAS detector
• Measurements of the Higgs boson production and decay rates and coupling strengths using $pp$ collision data at $\sqrt{s}=7$ and $8$ TeV in the ATLAS experiment
• The Flavor of the Composite Pseudo-Goldstone Higgs
• Beyond the Minimal Composite Higgs Model
• The Minimal Set of Electroweak Precision Parameters
• QCD and dimensional deconstruction
• Light Kaluza-Klein States in Randall-Sundrum Models with Custodial SU(2)
• The Higgs boson from an extended symmetry
• Measurement of the single-top-quark t-channel cross section in pp collisions at sqrt(s) = 7 TeV
• Search for massive resonances in dijet systems containing jets tagged as W or Z boson decays in pp collisions at sqrt(s) = 8 TeV
• The Twin Higgs mechanism and Composite Higgs
• On Partial Compositeness and the CP asymmetry in charm decays
• Probing the Randall-Sundrum geometric origin of flavor with lepton flavor violation
• UV Completions of Partial Compositeness: The Case for a SU(4) Gauge Group
• A Holographic Twin Higgs Model
• Composite Higgs-Mediated FCNC
• A GIM Mechanism from Extra Dimensions
• Flavor Violation Tests of Warped/Composite SM in the Two-Site Approach
• Cornering New Physics in b --> s Transitions
• Minimal Flavor Protection: A New Flavor Paradigm in Warped Models
• A Simple Flavor Protection for RS
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• Effective potential in ultraviolet completions for composite Higgs models
• Phase Transitions from the Fifth Dimension
• On the road(s) to the Standard Model
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• Radiative contribution to the composite-Higgs potential in a two-representation lattice model
• Exceptional Composite Dark Matter
• Vector-Boson Scattering at the LHC: unravelling the Electroweak sector
• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• New physics of strong interaction and Dark Universe
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• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• Off-shell Higgs Probe to Naturalness
• Probing Quartic Higgs Self-Interaction
• Novel Interpretation Strategy for Searches of Singly Produced Vector-like Quarks at the LHC
• Extending the Analysis of Electroweak Precision Constraints in Composite Higgs Models
• The Infrared Structure of Nambu-Goldstone Bosons
• Probing the CP structure of the top quark Yukawa coupling: Loop sensitivity vs. on-shell sensitivity
• Anomalous dimensions of potential top-partners
• Exotic Vector-Like Quark Phenomenology in the Minimal Linear $\sigma$ Model
• Classification of NLO operators for composite Higgs models
• Modelling vector-like quarks in partial compositeness framework
• Looking behind the Standard Model with lattice gauge theory
• Higgs Couplings at High Scales
• Continuum Naturalness
• Relaxation of the Composite Higgs Little Hierarchy
• Sum Rules in the Standard Model Effective Field Theory from Helicity Amplitudes
• The Nelson-Barr Relaxion
• Signature of Pseudo Nambu-Goldstone Higgs boson in its Decay
• Minimal Neutral Naturalness Model
• Resolving the degeneracy in top quark Yukawa coupling with Higgs pair production
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• Universal Imprints of a Pseudo-Nambu-Goldstone Higgs Boson
• Non-perturbative analysis of the spectrum of meson resonances in an ultraviolet-complete composite-Higgs model
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• A leptoquark and vector-like quark extended model for the simultaneous explanation of the $W$ boson mass and muon $g-2$ anomalies
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• Into the conformal window: multi-representation gauge theories
• Low-Scale D-term Inflation and the Relaxion
• The top-quark window on compositeness at future lepton colliders
• A model for the Singlet-Triplet Leptoquarks
• Asymptotic Scale Invariance and its Consequences
• Monojet searches for momentum-dependent dark matter interactions
• Hypercharged Naturalness
• High-Temperature Electroweak Symmetry Breaking by SM Twins
• Sigma Decomposition: The CP-Odd Lagrangian
• The linear-non-linear frontier for the Goldstone Higgs
• Broad composite resonances and their signals at the LHC
• Hidden Conformal Symmetry from the Lattice
• Minimal Fundamental Partial Compositeness
• Effective Field Theory in AdS: Continuum Regime, Soft Bombs, and IR Emergence
• The Schwinger-Keldysh Coset Construction
• Composite Higgses with seesaw EWSB
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• Revisiting the $t\bar{t}hh$ channel at the FCC-hh
• $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology
• Probing light top partners with CP violation
• On the behaviour of composite resonances breaking lepton flavour universality
• New Physics from High Energy Tops
• Higgs boson emerging from the dark
• Off-shell Higgs Couplings in $H^{\ast }\to ZZ\to \ell \ell \nu \nu$
• Infrared fixed point and anomalous dimensions in a composite Higgs model
• The Global Higgs as a Signal for Compositeness at the LHC
• Coset Cosmology
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• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
• Small instantons and the strong CP problem in composite Higgs models
• Impact of Yukawa-like dimension-5 operators on the Georgi-Machacek model
• Relevant Dilaton Stabilization
• Twin Higgs with Exact $Z_2$
• Toward minimal composite Higgs models from regular geometries in bottom-up holography
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• Boosting New Physics Searches in $t\bar{t}Z$ and $tZj$ Production with Angular Moments
• Emergence of Maximal Symmetry
• Improving Fine-tuning in Composite Higgs Models
• The Muon Smasher's Guide
• Exploring the Landscape for Soft Theorems of Nonlinear Sigma Models
• Flavour Deconstructing the Composite Higgs
• The Techni-Pati-Salam Composite Higgs
• Probing the Higgs boson through Yukawa force
• Anarchy with linear and bilinear interactions
• Probing composite Higgs boson substructure at the HL-LHC
• Enhancing the Large Hadron Collider Sensitivity to Charged and Neutral Broad Resonances of New Gauge Sectors
• Revisiting Isocurvature Bounds on the Minimal QCD Axion
• Gravitational waves from $\mathrm{SU}($$N$$)/Sp($$N$$)$ composite Higgs models
• A Common Origin for the QCD Axion and Sterile Neutrinos from $SU(5)$ Strong Dynamics
• Current status on pair-produced muon-philic vectorlike leptons in multilepton channels at the LHC
• Vector-Like Top Quark Production via an Electroweak Dipole Moment at a Muon Collider
• Effective field theory for vector-like leptons and its collider signals
• The Diboson Excess: Experimental Situation and Classification of Explanations; A Les Houches Pre-Proceeding
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• A Natural Composite Higgs via Universal Boundary Conditions
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• Direct Constraints, Flavor Physics, and Flavor Anomalies in Composite Higgs Models
• Coloured spin-1 states in composite Higgs models
• Light 't Hooft Top Partners
• Implications of Vector Boson Scattering Unitarity in Composite Higgs Models
• Future lepton collider prospects for a ubiquitous composite pseudo-scalar
• Exploring the Flavor Symmetry Landscape
• Form Factors in Higgs Couplings from Physics Beyond the Standard Model
• Effective Field Theory Perspective on Next-to-Minimal Composite Higgs
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• Modelling top partner-vector resonance phenomenology
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• Spin-1 resonances
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• Accidentally light scalars from large representations
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