The Strongly-Interacting Light Higgs

Abstract

We develop a simple description of models where electroweak symmetry breaking is triggered by a light composite Higgs, which emerges from a strongly-interacting sector as a pseudo-Goldstone boson. Two parameters broadly characterize these models: m_rho, the mass scale of the new resonances and g_rho, their coupling. An effective low-energy Lagrangian approach proves to be useful for LHC and ILC phenomenology below the scale m_rho. We identify two classes of operators: those that are genuinely sensitive to the new strong force and those that are sensitive to the spectrum of the resonances only. Phenomenological prospects for the LHC and the ILC include the study of high-energy longitudinal vector boson scattering, strong double-Higgs production and anomalous Higgs couplings. We finally discuss the possibility that the top quark could also be a composite object of the strong sector.

45 pages, 1 figure. v2: references added

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• Electroweak phase transition in the nearly aligned Higgs effective field theory
• The LHC potential of Vector-like quark doublets
• Search for resonant $WZ\to \ell \nu {\ell }^{\prime }{\ell }^{\prime }$ production in proton$-$proton collisions at $\sqrt{\mathbf{s}}=13$ TeV with the ATLAS detector
• Dispelling the $\sqrt{L}$ myth for the High-Luminosity LHC
• Multi-Higgs Boson Production with Anomalous Interactions at Current and Future Proton Colliders
• Probing 6D Operators at Future $e^{-}{e}^{+}$ Colliders
• The EFT Bootstrap at Finite $M_{PL}$
• Vector-Vector scattering at the LHC with two charged leptons and two neutrinos in the final state
• Off-shell effects in Higgs processes at a linear collider and implications for the LHC
• Exploring holographic Composite Higgs models
• Effective Theories with Dark Matter Applications
• Universal Relations in Composite Higgs Models
• Composite dark matter phenomenology in the presence of lighter degrees of freedom
• A new Higgs effective field theory and the new no-lose theorem
• The Quantum Critical Higgs
• Status and prospects of precision analyses with $e^{+}{e}^{-}\to W^{+}{W}^{-}$
• Buried Higgs
• Radiative stability and observational constraints on dark energy and modified gravity
• Unitarity Bounds on Effective Field Theories at the LHC
• Impact of Yukawa-like dimension-5 operators on the Georgi-Machacek model
• Off-shell Higgs production at the LHC as a probe of the trilinear Higgs coupling
• Primary Observables for Indirect Searches at Colliders
• Twin Higgs with Exact $Z_2$
• Relevant Dilaton Stabilization
• Generalized Skyrmions in QCD and the Electroweak Sector
• Top Seesaw with a Custodial Symmetry, and the 126 GeV Higgs
• Collider signatures of the SO(5) x U(1) gauge-Higgs unification
• The process gg->WW as a probe into the EWSB mechanism
• New physics and signal-background interference in associated $pp\to HZ$ production
• SUSY breaking scales in the gauge-Higgs unification
• Precision from the diphoton Zh channel at FCC-hh
• UV Constraints on Massive Spinning Particles: Lessons from the Gravitino
• EFTs meet Higgs Nonlinearity, Compositeness and (Neutral) Naturalness
• A UV Complete Compositeness Scenario: LHC Constraints Meet The Lattice
• Searching new physics in rare $B$-meson decays into multiple muons
• Theories for the Fermi Scale
• Measurement of Higgs boson self-couplings through $2\to 3$ vector bosons scattering in future muon colliders
• Infrared weak corrections to strongly interacting gauge bosons scattering
• Neutral-naturalness from a holographic SO(6)/SO(5) composite Higgs model
• The Muon Smasher's Guide
• Tree-level Interference in VBF production of Vh
• Diboson production in the SMEFT from gluon fusion
• Interpreting a 2 TeV resonance in WW scattering
• Study of Higgs-gauge boson anomalous couplings through $e^{-}{e}^{+}\to W^{-}{W}^{+}H$ at ILC
• Higher dimensional operators in 2HDM
• Improving Fine-tuning in Composite Higgs Models
• An almost elementary Higgs: Theory and Practice
• BSM WW production with a jet veto
• Hadron Collider Searches for Diboson Resonances
• Flavour Deconstructing the Composite Higgs
• Enhancing the Large Hadron Collider Sensitivity to Charged and Neutral Broad Resonances of New Gauge Sectors
• Holographic Dark Matter and Higgs
• Anarchy with linear and bilinear interactions
• Probing composite Higgs boson substructure at the HL-LHC
• Revisiting $\mathbf{Vh}(\to \mathbf{b}\bar{\mathbf{b}})$ at the LHC and FCC-hh
• Probing the Higgs boson through Yukawa force
• A New Precision Process at FCC-hh: the diphoton leptonic Wh channel
• On the Validity of the Effective Potential and the Precision of Higgs Self Couplings
• CP-violating Higgs-gauge boson couplings in $H\nu \bar{\nu }$ production at three energy stages of CLIC
• Following the trail of new physics via VBF Higgs signal at the Large Hadron Collider
• Triple Gauge Couplings at Future Hadron and Lepton Colliders
• Gapped Goldstones at the cut-off scale: a non-relativistic EFT
• A composite pNGB leptoquark at the LHC
• Technicolor at Criticality
• Improving Higgs plus Jets analyses through Fox--Wolfram Moments
• Sensitivity study of anomalous HZZ couplings at future Higgs factory
• Top partner-resonance interplay in a composite Higgs framework
• $Hb\bar{b}$ production in Composite Higgs Models
• Highly Boosted Higgs Bosons and Unitarity in Vector-Boson Fusion at Future Hadron Colliders
• Electroweak Constraints on the Fourth Generation at Two Loop Order
• Measuring Higgs self couplings in the presence of VVH and VVHH at the ILC
• The Higgs mechanism as a cut-off effect
• Top quark effects in composite vector pair production at the LHC
• Modelling strong interactions and longitudinally polarized vector boson scattering
• Electroweak Top Couplings, Partial Compositeness and Top Partner Searches
• The super-LHC
• Boosted Higgses from chromomagnetic $b$'s: $b\bar{b}h$ at high luminosity
• Polarization measurement for the dileptonic channel of $W^{+}{W}^{-}$ scattering using generative adversarial network
• A More Natural Composite Higgs Model
• Improved bounds on W-W' mixing with ATLAS resonant WZ production data at the LHC at $\sqrt{s}=13$ TeV
• High Energy WW Scattering at the LHC with the Matrix Element Method
• High-precision limits on $W$-$W^{\prime }$ and $Z$-$Z^{\prime }$ mixing from diboson production using the full LHC Run 2 ATLAS data set
• Scalar Resonances in the Non-linearly Realized Electroweak Theory
• Review of top quark mass measurements in CMS
• Exploring the Flavor Symmetry Landscape
• Fermiophobic Higgs boson and supersymmetry
• Structure of dimension-six derivative interactions in pseudo Nambu-Goldstone N Higgs doublet models
• Precise test of Higgs properties via triple Higgs production in VBF at future colliders
• Search for diboson resonances in the 2$\ell$2$\nu$ final state in proton-proton collisions at 13 TeV
• Tree-level Quartic for a Holographic Composite Higgs
• Effective Field Theory Perspective on Next-to-Minimal Composite Higgs
• The Two Scales of New Physics in Higgs Couplings
• Dark and Bright Signatures of Di-Higgs Production
• Dark SU(2) Stueckelberg portal
• Same-sign W pair production in composite Higgs models
• Beautiful mirrors for a pNGB Higgs
• Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory
• Exploring correlations between HEFT Higgs couplings ${\kappa }_V$ and ${\kappa }_{2V}$ via HH production at $e^{+}{e}^{-}$ colliders
• A Scalar Boson as a Messenger of New Physics
• Novel $B$-decay signatures of light scalars at high energy facilities
• Probing top-antitop resonances with $t\bar{t}$ scattering at LHC14
• Indications on the Mass of the Lightest Electroweak Baryon
• Composite Higgs at high transverse momentum
• Exploring alternative symmetry breaking mechanisms at the LHC with 7, 8 and 10 TeV total energy
• Adding Pseudo-Observables to the Four-Lepton Experimentalist's Toolbox
• Two Paths Towards Precision at a Very High Energy Lepton Collider
• Constraints on vector resonances from a strong Higgs sector
• Single Top Quark Production with and without a Higgs Boson
• Left-right non-linear dynamical Higgs
• Observation of $VVZ$ production at $\sqrt{s}=13$ TeV with the ATLAS detector
• Dimension-8 SMEFT contact-terms for vector-pair production via on-shell Higgsing
• Does unitarity imply finiteness of electroweak oblique corrections at one-loop? - constraining extra neutral Higgs bosons -
• Constraining fine tuning in Composite Higgs Models with partially composite leptons
• ALPs, the on-shell way
• Alignment Limit in 2HDM: Robustness put to test
• Exploring Fine-tuning of the Next-to-Minimal Composite Higgs Model
• Jet Substructure Measurements of Interference in Non-Interfering SMEFT Effects
• Dangerous Skyrmions in Little Higgs Models
• The Higgs program and open questions in particle physics and cosmology
• Low-energy constant $L_{10}$ in a two-representation lattice theory
• Higgs couplings and electroweak observables: a comparison of precision tests
• A minimal Little Higgs model
• Electroweak Symmetry Breaking and BSM Physics (A Review)
• Custodial Symmetry (Violation) in SMEFT
• Study on the sensitivity of the Higgs boson couplings in photon-photon collision at CLIC and muon collider
• Higgsinoless Supersymmetry and Hidden Gravity
• Detecting anomaly in vector boson scattering
• Anomalous gauge couplings vis-$\grave{a}$-vis $(g-2{)}_{\mu }$ and flavor observables
• New light on WW scattering at the LHC with W jet tagging
• Higgs Decays in Gauge Extensions of the Standard Model
• The Art of Counting: a reappraisal of the HEFT expansion
• Electroweak Scattering at the Muon Shot
• Future Electron-Positron Colliders and the 4-Dimensional Composite Higgs Model
• A rotation-equivariant graph neural network for learning hadronic SMEFT effects
• Convergent Bayesian Global Fits of 4D Composite Higgs Models
• Higgs mass from compositeness at a multi-TeV scale
• NLO QCD corrections to off-shell $t\bar{t}{W}^{\pm }$ production at the LHC: Correlations and Asymmetries
• Veltman Criteria in Beyond Standard Model Effective Field Theory of Complex Scalar Triplet
• Resonances from Quiver Theories at the LHC
• A common origin of the Higgs boson and the flavor hierarchies
• Probing strongly interacting W's at the ILC with polarized beams
• New method for fitting coefficients in standard model effective theory
• Constraining the anomalous Higgs boson coupling in $H$+$\gamma$ production
• High energy lepton colliders as the ultimate Higgs microscopes
• On the compatibility of the diboson excess with a gg-initiated composite sector
• Where is Particle Physics Going?
• Scalar and fermion on-shell amplitudes in generalized Higgs effective field theory
• Dark Matter from 't Hooft Anomaly Matching
• Constraints on the anomalous Higgs boson couplings in $Z\gamma \gamma$ production at muon collider
• Strong, weak and flavor scalar triplets for the CDF Wjj anomaly
• Restoring Naturalness via Conjugate Fermions
• Constraining capability of $Z\gamma h$ production at the ILC
• Anatomy of the $tthh$ Physics at HL-LHC
• Probing CP-violating Higgs-gauge Boson Couplings at Future Muon Collider
• Introducing tools to test Higgs interactions via $WW$ scattering II: the coupled channel formalism and scalar resonances
• Test of the triple Higgs boson form factor in ${\mu }^{-}{\mu }^{+}\to HH$
• Classical skyrmions in SU(N)/SO(N) cosets
• Tests of Higgs boson compositeness through the HHH form factor
• Probing the Top-Higgs Sector with Composite Higgs Models at Present and Future Hadron Colliders
• Strong gauge boson scattering at the LHC
• Identifying Minimal Composite Dark Matter
• Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT
• Top Quark Electroweak Dipole Moment at a High Energy Muon Collider
• Quantifying EFT Uncertainties in LHC Searches
• The limits on the strong Higgs sector parameters in the presence of new vector resonances
• $WWh$ anomalous couplings at one loop from a seesaw variant of radiatively-induced neutrino masses
• Higgs pair production in gluon fusion to higher orders in Higgs Effective Field Theory
• The effects of Higgs boson couplings through HZZ production at future lepton colliders
• $Z_2$ Non-Restoration and Composite Higgs: Singlet-Assisted Baryogenesis w/o Topological Defects
• Multi-boson splashes at future colliders from electroweak compositeness
• Hadroproduction of four top quarks in the POWHEG BOX
• Two-loop dimension Six Effective Action: Integrating Out Heavy Scalar
• General form of effective operators from hidden sectors
• Following the muon track of hierarchical sectors at LHCb
• Probing CP Violation through Vector Boson Fusion at High-Energy Muon Colliders
• An EFT study of the $pp\to \bar{t}tZ(ll)h(bb)$ process at the FCC-$\mathbf{hh}$
• The Electroweak Symmetry Breaking Riddle
• Probing Higgs and Top Interactions through the Muon Lens at multi-TeV Muon Colliders
• The Higgs Boson and its Physics -- an Overview
• Probing the flavour structure of dimension-6 EFT operators in multilepton final states in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Prospects for Higgs boson scenarios beyond the Standard Model
• Future accelerator projects: new physics at the energy frontier
• The Sensitivity of Higgs Factories to Composite Higgs Models via Precision Measurements
• Analysis of anomalous $H\gamma \gamma$ coupling in light-by-light collision at future muon collider