Composite Higgses

Abstract

We present an overview of composite Higgs models in light of the discovery of the Higgs boson. The small value of the physical Higgs mass suggests that the Higgs quartic is likely loop generated, thus models with tree-level quartics will generically be more tuned. We classify the various models (including bona fide composite Higgs, little Higgs, holographic composite Higgs, twin Higgs and dilatonic Higgs) based on their predictions for the Higgs potential, review the basic ingredients of each of them, and quantify the amount of tuning needed, which is not negligible in any model. We explain the main ideas for generating flavor structure and the main mechanisms for protecting against large flavor violating effects, and present a summary of the various coset models that can result in realistic pseudo-Goldstone Higgses. We review the current experimental status of such models by discussing the electroweak precision, flavor and direct search bounds, and comment on UV completions and on ways to incorporate dark matter.

58 Pages, 5 Figures, 5 Tables. Invited review article accepted for publication in The European Physical Journal C

References in corpus (54)

• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Asymmetric Dark Matter
• A custodial symmetry for Zbb
• Light custodians in natural composite Higgs models
• The Flavor of the Composite Pseudo-Goldstone Higgs
• Beyond the Minimal Composite Higgs Model
• The Minimal Set of Electroweak Precision Parameters
• The Bulk RS KK-gluon at the LHC
• Light Kaluza-Klein States in Randall-Sundrum Models with Custodial SU(2)
• Dark Matter from new Technicolor Theories
• Delta F=2 Observables and Fine-Tuning in a Warped Extra Dimension with Custodial Protection
• The Higgs boson from an extended symmetry
• Towards Working Technicolor: Effective Theories and Dark Matter
• LHC Signals for Warped Electroweak Neutral Gauge Bosons
• Bounds in 4D Conformal Field Theories with Global Symmetry
• Disentangling a dynamical Higgs
• Very boosted Higgs in gluon fusion
• Radion Phenomenology in Realistic Warped Space Models
• Tasi 2009 lectures: The Higgs as a Composite Nambu-Goldstone Boson
• On Partial Compositeness and the CP asymmetry in charm decays
• Implications of a Light Higgs in Composite Models
• Probing the Randall-Sundrum geometric origin of flavor with lepton flavor violation
• Composite Higgs-Mediated FCNC
• A GIM Mechanism from Extra Dimensions
• Pseudo-Goldstone Higgs Production via Gluon Fusion
• LHC Signals for Warped Electroweak Charged Gauge Bosons
• Search for top-quark partners with charge 5/3 in the same-sign dilepton final state
• Minimal Flavor Protection: A New Flavor Paradigm in Warped Models
• Electroweak Symmetry Breaking and the Higgs Boson: Confronting Theories at Colliders
• Bounds and Decays of New Heavy Vector-like Top Partners
• Kaluza-Klein Gluons as a Diagnostic of Warped Models
• Collider Phenomenology of Gauge-Higgs Unification Scenarios in Warped Extra Dimensions
• Snowmass 2013 Top quark working group report
• Composite MFV and Beyond
• TASI Lectures on a Holographic View of Beyond the Standard Model Physics
• Standard Model couplings and collider signatures of a light scalar
• Vector-like quarks in a composite Higgs model
• Early discovery of top partners and test of the Higgs nature
• Alternatives to an Elementary Higgs
• Can the 125 GeV Higgs be the Little Higgs?
• $\Delta F=1$ constraints on composite Higgs models with LR parity
• A Weakly Coupled Ultraviolet Completion of the Littlest Higgs with T-parity
• Indirect Detection of Little Higgs Dark Matter
• Constraints on the Wtb vertex from early LHC data
• Implications of the Higgs discovery for the MSSM
• Supersymmetry with a pNGB Higgs and Partial Compositeness
• Higgs doublet as a Goldstone boson in perturbative extensions of the Standard Model
• T-parity, its problems and their solution
• Distinguishing Supersymmetry From Universal Extra Dimensions or Little Higgs Models With Dark Matter Experiments
• Buried Higgs
• Supersymmetric Fits after the Higgs Discovery and Implications for Model Building
• Lessons for SUSY from the LHC after the first run
• Topological Dark Matter in the Little Higgs Models
• SuSy: The Early Years (1966-1976)

Cited by in corpus (229)

• Jet Substructure at the Large Hadron Collider: Experimental Review
• Review of strongly-coupled composite dark matter models and lattice simulations
• Rays of light from the LHC
• Softness and Amplitudes' Positivity for Spinning Particles
• A unified explanation for dark matter and electroweak baryogenesis with direct detection and gravitational wave signatures
• The Twin Higgs mechanism and Composite Higgs
• Discovering Uncolored Naturalness in Exotic Higgs Decays
• A search for $t\bar{t}$ resonances using lepton-plus-jets events in proton-proton collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• A Holographic Twin Higgs Model
• Lattice tests of beyond Standard Model dynamics
• Symmetries, Sum Rules and Constraints on Effective Field Theories
• Fundamental Composite 2HDM: SU(N) with 4 flavours
• Composite scalars at the LHC: the Higgs, the Sextet and the Octet
• Light scalars in composite Higgs models
• Fundamental Composite Electroweak Dynamics: Status at the LHC
• Strong tW Scattering at the LHC
• Is the Relaxion an Axion?
• Direct and indirect signals of natural composite Higgs models
• Baryon spectrum of SU(4) composite Higgs theory with two distinct fermion representations
• Beyond the Minimal Top Partner Decay
• Supercool Composite Dark Matter Beyond 100 TeV
• A Review of Higgs Mass Calculations in Supersymmetric Models
• Search for $WW/WZ$ resonance production in $\ell \nu qq$ final states in $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS detector
• Di-boson signatures as Standard Candles for Partial Compositeness
• Cosmological Phase Transition of Spontaneous Confinement
• Goldstones in Diphotons
• Search for a massive resonance decaying into a Higgs boson and a W or Z boson in hadronic final states in proton-proton collisions at sqrt(s) = 8 TeV
• Searches for heavy diboson resonances in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Trigonometric Parity for the Composite Higgs
• Higgs Physics: It ain't over till it's over
• Automated Predictions from Polarized Matrix Elements
• Natural SUSY in Plain Sight
• Search for massive resonances decaying into WW, WZ, ZZ, qW, and qZ with dijet final states at $\sqrt{s}=$ 13 TeV
• Minimally extended SILH
• The Maximally Symmetric Composite Higgs
• Alternatives to an Elementary Higgs
• Diboson Excess from a New Strong Force
• Partial compositeness and baryon matrix elements on the lattice
• Search for single production of vector-like quarks decaying into $Wb$ in $pp$ collisions at $\sqrt{s}=$ 8 TeV with the ATLAS detector
• Charged Composite Scalar Dark Matter
• Determining the Shape of Higgs Potential at Future Colliders
• Dark matter shifts away from direct detection
• Mirror Neutron Stars
• Top quark induced effective potential in a composite Higgs model
• The Flavor of the Composite Twin Higgs
• Towards a No-Lose Theorem for Naturalness
• A multi-dimensional search for new heavy resonances decaying to boosted WW, WZ, or ZZ boson pairs in the dijet final state at 13 TeV
• Dark Mesons at the LHC
• Crunching Dilaton, Hidden Naturalness
• Cornering Natural SUSY at LHC Run II and Beyond
• Vacuum alignment in a composite 2HDM
• One-loop Chiral Perturbation Theory with two fermion representations
• Search for heavy resonances that decay into a vector boson and a Higgs boson in hadronic final states at sqrt(s) = 13 TeV
• Odd Top Partners at the LHC
• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• Effective potential in ultraviolet completions for composite Higgs models
• The Unnatural Composite Higgs
• Vector and Axial-vector resonances in composite models of the Higgs boson
• Phase Transitions from the Fifth Dimension
• Search for heavy resonances decaying into a vector boson and a Higgs boson in final states with charged leptons, neutrinos, and b quarks
• Saving Natural Inflation
• Radiative contribution to the composite-Higgs potential in a two-representation lattice model
• Vector-Boson Scattering at the LHC: unravelling the Electroweak sector
• Combination of searches for heavy resonances decaying to WW, WZ, ZZ, WH, and ZH boson pairs in proton-proton collisions at sqrt(s) = 8 and 13 TeV
• Exceptional Composite Dark Matter
• New physics of strong interaction and Dark Universe
• Top Partners Searches and Composite Higgs Models
• Gravity, Scale Invariance and the Hierarchy Problem
• Phase transitions in perturbative walking dynamics
• The Infrared Structure of Nambu-Goldstone Bosons
• Natural Supersymmetry without Light Higgsinos
• Classification of NLO operators for composite Higgs models
• New Physics in multi-Higgs boson final states
• Resolving gluon fusion loops at current and future hadron colliders
• Search for massive WH resonances decaying into the l nu b anti-b final state at sqrt(s) = 8 TeV
• The Bearable Compositeness of Leptons
• Looking behind the Standard Model with lattice gauge theory
• Gravitational Waves at Strong Coupling from an Effective Action
• Combination of CMS searches for heavy resonances decaying to pairs of bosons or leptons
• Tadpole-Induced Electroweak Symmetry Breaking and pNGB Higgs Models
• A Minimally Symmetric Higgs Boson
• Continuum Naturalness
• Probing TeV scale Top-Philic Resonances with Boosted Top-Tagging at the High Luminosity LHC
• The effective potential and universality in GUT inspired gauge-Higgs unification
• One-loop anomalous dimension of top-partner hyperbaryons in a family of composite Higgs models
• Signature of Pseudo Nambu-Goldstone Higgs boson in its Decay
• Resolving the degeneracy in top quark Yukawa coupling with Higgs pair production
• Minimal Neutral Naturalness Model
• Distinguishing A Higgs-Like Dilaton Scenario With A Complete Bosonic Effective Field Theory Basis
• Dissection of an SO(5) x U(1) Gauge-Higgs Unification Model
• Loop-Generated Neutrino Masses in Composite Higgs Models
• Search for a heavy resonance decaying to a pair of vector bosons in the lepton plus merged jet final state at $\sqrt{s}=$ 13 TeV
• Phenomenology of unusual top partners in composite Higgs models
• Fermion pair production at $e^{-}{e}^{+}$ linear collider experiments in GUT inspired gauge-Higgs unification
• Heavy Vector Partners of the Light Composite Higgs
• Universal Imprints of a Pseudo-Nambu-Goldstone Higgs Boson
• Strongly coupled theories beyond the Standard Model
• Phenomenology of flavorful composite vector bosons in light of $B$ anomalies
• A Diphoton Resonance from Bulk RS
• Lattice-Friendly Gauge Completion of a Composite Higgs with Top Partners
• Probing $Zt\bar{t}$ couplings using $Z$ boson polarization in $ZZ$ production at hadron colliders
• One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry
• Search for heavy resonances decaying to WW, WZ, or WH boson pairs in a final state consisting of a lepton and a large-radius jet in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Hypercharged Naturalness
• Boosted Event Topologies from TeV Scale Light Quark Composite Partners
• Search for heavy resonances decaying into two Higgs bosons or into a Higgs boson and a W or Z boson in proton-proton collisions at 13 TeV
• Examining the neutrino option
• Diphoton and Diboson Probes of Fermiophobic Higgs Bosons at the LHC
• E6 inspired composite Higgs model
• Natural Stabilization of the Higgs Boson's Mass and Alignment
• Lepton Flavour Violation in Composite Higgs Models
• Search for a heavy vector resonance decaying to a Z boson and a Higgs boson in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• $W$-Boson Mass, Electroweak Precision Tests and SMEFT
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• Single and double production of the Higgs boson at hadron and lepton colliders in minimal composite Higgs models
• Partially Composite Dark Matter
• Constraints on the relaxion mechanism with strongly interacting vector-fermions
• Dilaton-assisted generation of the Fermi scale from the Planck scale
• Phenomenological aspects of supersymmetric composite Higgs models
• Probing light top partners with CP violation
• Searches for Higgs boson production through decays of heavy resonances
• A concise review on some Higgs-related new physics models in light of current experiments
• Universal Relations in Composite Higgs Models
• Reheating with a Composite Higgs
• Into the multi-TeV scale with a Higgs golden ratio
• Effective Theories of Dark Mesons with Custodial Symmetry
• Higgs boson emerging from the dark
• Infrared fixed point and anomalous dimensions in a composite Higgs model
• The Quantum Critical Higgs
• Relevant Dilaton Stabilization
• Light (and darkness) from a light hidden Higgs
• Search for new heavy resonances decaying to WW, WZ, ZZ, WH, or ZH boson pairs in the all-jets final state in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Top Seesaw with a Custodial Symmetry, and the 126 GeV Higgs
• Twin Higgs with Exact $Z_2$
• Search for heavy resonances decaying into a vector boson and a Higgs boson in final states with charged leptons, neutrinos and b quarks at $\sqrt{s}=$ 13 TeV
• High Precision Calculations of the Higgs Boson Mass
• Neutrino Masses from Low Scale Partial Compositeness
• The Muon Smasher's Guide
• Sigma-assisted natural composite Higgs
• Displaced Vertices from Hidden Glue
• Future tests of Higgs compositeness: direct vs indirect
• Emergence of Maximal Symmetry
• Boosting New Physics Searches in $t\bar{t}Z$ and $tZj$ Production with Angular Moments
• A Composite Higgs Model with Minimal Fine-Tuning I.~The Large-N and Weak-technicolor Limit
• Status and Prospects of the Two-Higgs-Doublet SU(6)/Sp(6) little-Higgs Model and the Alignment Limit
• The Techni-Pati-Salam Composite Higgs
• Polarized ZZ pairs in gluon fusion and vector boson fusion at the LHC
• An analysis of a minimal vectorlike extension of the Standard Model
• Composite Dark Matter with Forbidden Annihilation
• Lepton Flavour Violation in Hadron Decays of the Tau Lepton in the Simplest Little Higgs Model
• LHC signatures of neutral pseudo-Goldstone boson in the E6CHM
• Running beyond ALPs: shift-breaking and CP-violating effects
• Electroweak Top Couplings, Partial Compositeness and Top Partner Searches
• The Diboson Excess: Experimental Situation and Classification of Explanations; A Les Houches Pre-Proceeding
• Direct Constraints, Flavor Physics, and Flavor Anomalies in Composite Higgs Models
• Effective field theory for pions and a dilatonic meson
• Exploring extended Higgs sectors via pair production at the LHC
• The Light Composite Higgs in Strong Extended Technicolor
• Gegenbauer Goldstones
• Fine Tuning in the Holographic Minimal Composite Higgs Model
• A Natural Composite Higgs via Universal Boundary Conditions
• Future lepton collider prospects for a ubiquitous composite pseudo-scalar
• Light 't Hooft Top Partners
• New Limits on Coloured Three Jet Resonances
• High Quality Axion via a Doubly Composite Dynamics
• Implications of Vector Boson Scattering Unitarity in Composite Higgs Models
• Uncovering the relation of a scalar resonance to the Higgs boson
• The Supersymmetric Georgi-Machacek Model
• Composite 2HDM with singlets: a viable dark matter scenario
• Baryon asymmetry generation in the E6CHM
• Uncovering new strong dynamics via topological interactions at the 100 TeV collider
• Generating a Higgs Quartic
• Modelling top partner-vector resonance phenomenology
• Hadronic Top Quark Polarimetry with ParticleNet
• Investigating the Quantum Properties of Jets and the Search for a Supersymmetric Top Quark Partner with the ATLAS Detector
• Tree-level Quartic for a Holographic Composite Higgs
• $a$-Anomalous Interactions of the Holographic Dilaton
• Effective Field Theory Perspective on Next-to-Minimal Composite Higgs
• Form Factors in Higgs Couplings from Physics Beyond the Standard Model
• Higgs-Precision Constraints on Colored Naturalness
• $W$ boson mass tension caused by its right-handed gauge coupling at high energies?
• The Charm of Theoretical Physics (1958-1993)
• Dispersion Relations for Electroweak Observables in Composite Higgs Models
• Baryons, multi-hadron systems, and composite dark matter in non-relativistic QCD
• Higgs Assisted Q-balls from Pseudo-Nambu-Goldstone Bosons
• Dilaton portal in strongly interacting twin Higgs models
• Probing a ${\mathrm{Z}}^{\prime }$ with non-universal fermion couplings through top quark fusion, decays to bottom quarks, and machine learning techniques
• Composite Higgs Models with a Hidden Sector
• Holographic Completion of Minimal Neutral Naturalness Model and Deconstruction
• On the $ZH\eta$ vertex in the simplest Little Higgs Model
• Low-energy constant $L_{10}$ in a two-representation lattice theory
• Schwinger-Dyson equation boundary conditions induced by ETC radiative corrections
• E6 inspired composite Higgs model and 750 GeV diphoton excess
• E_6 inspired composite Higgs model and baryon asymmetry generation
• Geometrical hierarchies in classical supergravity
• Novel flavour-changing neutral currents in the top quark sector
• Pseudoscalar pair production via off-shell Higgs in composite Higgs models
• Recent Progress in Flavor Model Building
• Schwinger-Dyson approach and its application to generate a light composite scalar
• Electroweak Scattering at the Muon Shot
• Partial compositeness under precision scrutiny
• Flavor Violating Higgs Couplings in Minimal Flavor Violation
• Convergent Bayesian Global Fits of 4D Composite Higgs Models
• A second Higgs near 0.5 TeV from bottom-up holographic modeling of beyond the Standard Model strong sector
• Soft Wall holographic model for the minimal Composite Higgs
• Strongly Coupled Sectors in Inflation: Gapless Theories and Unparticles
• The hierarchy problem and fine-tuning in a decoupling approach to multi-scale effective potentials
• A Tale of Two Twin Higgses: Addressing Little Hierarchy in Natural 2HDM Framework
• Naturalness Sum Rules and Their Collider Tests
• Models of hypercolor based on symplectic gauge group with three heavy vectorlike hyperquarks
• Anomalous mass dimensions and Schwinger-Dyson equations boundary condition
• Holographic Composite Higgs Model Building: Soft Breaking, Maximal Symmetry, and the Higgs Mass
• LHC vector resonance searches in the $t\bar{t}Z$ final state
• What can we learn from the total width of the Higgs boson?
• Narrow Resonances Revisited -- Simplifying Multidimensional Constraints
• Theoretical Aspects of Flavour and CP Violation in the Lepton Sector
• Restoring Naturalness via Conjugate Fermions
• Strongly Coupled Sectors in Inflation: Gapped Theories of Unparticles
• Multi-boson splashes at future colliders from electroweak compositeness
• Impact of hidden heavy Higgs channels of VLB-Quarks below 1 TeV in 2HDM
• Non-perturbative reheating and Nnaturalness
• Dark-technicolour at colliders
• Accidentally light scalars from large representations
• Search for a heavy resonance decaying into a Z and a Higgs boson in events with an energetic jet and two electrons, two muons, or missing transverse momentum in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Combination of searches for heavy vector boson resonances in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Searching for diboson resonances in the boosted all-hadronic final state at $\sqrt{\mathrm{s}}=13$ TeV with CMS
• The Radial Mode of Composite Higgs Theories at the LHC
• Directly Probing the Higgs-top Coupling at High Scales
• Limit on Higgs boson trilinear self-coupling in coupled technicolor models