Light "Higgs", yet strong interactions

Abstract

The claimed finding of a light Higgs boson makes the minimal Standard Model unitary. Yet we recall that the general low-energy dynamics for the minimal electroweak symmetry breaking sector with three Goldstone bosons and one light scalar is not so. We construct the effective Lagrangian for these four particles and their scattering amplitudes, that can be extracted from LHC experiments when longitudinal W, Z modes be properly isolated for E>>M_W (Equivalence Theorem). We then observe the known increase in interaction strength with energy and explore various unitarization methods in the literature in the absence of other new physics (as LHC experiments fail to report anything up to 600 GeV). Our generic conclusion is that for most of parameter space the high energy scattering of the longitudinal W's is strongly interacting (with the Minimal Standard Model a remarkable exception). We find and study a second sigma-like scalar pole of the W_L W_L amplitude.

32 pages, 24 plots, to be published in JPG, revised version including experimental bounds

References in corpus (8)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Combined results of searches for the standard model Higgs boson in pp collisions at sqrt(s) = 7 TeV
• Light custodians in natural composite Higgs models
• Measurements of Higgs boson production and couplings in diboson final states with the ATLAS detector at the LHC
• Light scalar at LHC: the Higgs or the dilaton?
• A Higgs-Higgs bound state due to New Physics at a TeV
• The Inverse Amplitude Method and Adler Zeros

Cited by in corpus (32)

• The Standard Model as an Effective Field Theory
• QCD and strongly coupled gauge theories: challenges and perspectives
• One-loop $W_L{W}_L$ and $Z_L{Z}_L$ scattering from the Electroweak Chiral Lagrangian with a light Higgs-like scalar
• Unitarity Constraints on Dimension-Six Operators
• One-loop $\gamma \gamma \to W_L^{+}{W}_L^{-}$ and $\gamma \gamma \to Z_L{Z}_L$ from the Electroweak Chiral Lagrangian with a light Higgs-like scalar
• Unitarity, analyticity, dispersion relations and resonances in strongly interacting $W_L{W}_L$, $Z_L{Z}_L$ and $hh$ scattering
• Unitarity and causality constraints in composite Higgs models
• The flair of Higgsflare: Distinguishing electroweak EFTs with $W_L{W}_L\to n\times h$
• Unitarization effects in EFT predictions of WZ scattering at the LHC
• Possible new resonance from $W_L{W}_L$-$hh$ interchannel coupling
• Fingerprints of heavy scales in electroweak effective Lagrangians
• Distinguishing A Higgs-Like Dilaton Scenario With A Complete Bosonic Effective Field Theory Basis
• Production of vector resonances at the LHC via WZ-scattering: a unitarized EChL analysis
• Strongly coupled theories beyond the Standard Model
• Systematizing and addressing theory uncertainties of unitarization with the Inverse Amplitude Method
• Anatomy of Higgs decays into $\gamma \gamma$ and $\gamma Z$ within the EChL in the $R_{\xi }$ gauges
• Vector boson scattering at the LHC. A study of the WW -> WW channels with the Warsaw cut
• Testing anomalous $H-W$ couplings and Higgs self-couplings via double and triple Higgs production at $e^{+}{e}^{-}$ colliders
• Same-sign WW Scattering in the HEFT: Discoverability vs. EFT Validity
• Coupling WW, ZZ unitarized amplitudes to $\gamma \gamma$ in the TeV region
• Production cross section estimates for strongly-interacting Electroweak Symmetry Breaking Sector resonances at particle colliders
• Interpreting a 2 TeV resonance in WW scattering
• Top-antitop production from $W_L^{+}{W}_L^{-}$ and $Z_L{Z}_L$ scattering under a strongly-interacting symmetry-breaking sector
• Dynamical vector resonances from the EChL in VBS at the LHC: the WW case
• Implications of Vector Boson Scattering Unitarity in Composite Higgs Models
• Resonant production of Wh and Zh at the LHC
• Unitarity in composite Higgs approaches with vector resonances
• Collider production of Electroweak resonances from photon-photon states
• Seeking for resonances in unitarized one-loop graviton-graviton scattering
• Unitarity and Unitarization
• Coupling of $t\bar{t}$ and $\gamma \gamma$ with a strongly interacting Electroweak Symmetry Breaking Sector
• Integrating out resonances in strongly-coupled electroweak scenarios