Radiative corrections to WL WL scattering in composite Higgs models

Abstract

The scattering of longitudinally polarized electroweak bosons is likely to play an important role in the elucidation of the fundamental nature of the Electroweak Symmetry Breaking sector and in determining the Higgs interactions with this sector. In this paper, by making use of the Equivalence Theorem, we determine the renormalization properties of the electroweak effective theory parameters in a model with generic Higgs couplings to the W and Z bosons. When the couplings between the Higgs and the electroweak gauge bosons deviate from their Standard Model values, additional counterterms of O(p^4) in the usual chiral counting are required. We also determine in the same approximation the full radiative corrections to the WL WL->ZL ZL process in this type of models. Assuming custodial invariance, all the related processes can be easily derived from this amplitude.

minor changes and typos corrected

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
• Effective Lagrangian for a light Higgs-like scalar
• Updated Global Analysis of Higgs Couplings
• Determining Triple Gauge Boson Couplings from Higgs Data
• Measurements of Wgamma and Zgamma production in pp collisions at sqrt{s}= 7 TeV with the ATLAS detector at the LHC
• Measurement of the sum of WW and WZ production with W+dijet events in pp collisions at sqrt(s) = 7 TeV
• Longitudinal WW scattering in light of the "Higgs" discovery

Cited by in corpus (34)

• The Standard Model as an Effective Field Theory
• Is SMEFT Enough?
• One-loop $W_L{W}_L$ and $Z_L{Z}_L$ scattering from the Electroweak Chiral Lagrangian with a light Higgs-like scalar
• 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
• On the renormalization of the electroweak chiral Lagrangian with a Higgs
• 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
• One-loop renormalization of the electroweak chiral Lagrangian with a light Higgs
• One-loop renormalization of VBS with the electroweak chiral Lagrangian in covariant gauges
• Unitarization effects in EFT predictions of WZ scattering at the LHC
• Possible new resonance from $W_L{W}_L$-$hh$ interchannel coupling
• An EFT hunter's guide to two-to-two scattering: HEFT and SMEFT on-shell amplitudes
• Distinguishing A Higgs-Like Dilaton Scenario With A Complete Bosonic Effective Field Theory Basis
• Low-energy signals of strongly-coupled electroweak symmetry-breaking scenarios
• Inverse Amplitude Method for Perturbative Electroweak Symmetry Breaking Sector: The Singlet Higgs Portal as a Study Case
• Strongly coupled theories beyond the Standard Model
• Anatomy of Higgs decays into $\gamma \gamma$ and $\gamma Z$ within the EChL in the $R_{\xi }$ gauges
• Axion-Higgs interplay in the two Higgs-doublet model
• Introducing tools to test Higgs interactions via $WW$ scattering I: one-loop calculations and renormalization in the HEFT
• Testing anomalous $H-W$ couplings and Higgs self-couplings via double and triple Higgs production at $e^{+}{e}^{-}$ colliders
• 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
• Top-antitop production from $W_L^{+}{W}_L^{-}$ and $Z_L{Z}_L$ scattering under a strongly-interacting symmetry-breaking sector
• The New Formulation of Higgs Effective Field Theory
• The Minimal Axion Minimal Linear $\sigma$ Model
• Interpreting a 2 TeV resonance in WW scattering
• Dynamical vector resonances from the EChL in VBS at the LHC: the WW case
• Exploring correlations between HEFT Higgs couplings ${\kappa }_V$ and ${\kappa }_{2V}$ via HH production at $e^{+}{e}^{-}$ colliders
• Dimension-8 SMEFT contact-terms for vector-pair production via on-shell Higgsing
• Dynamical Origin of the Electroweak Scale and the 125 GeV Scalar
• Electroweak chiral Lagrangian with a light Higgs
• Electroweak chiral Lagrangian with a light Higgs and $\gamma \gamma \to Z_L{Z}_L,W_L^{+}{W}_L^{-}$ scattering at one loop
• One loop effective nonlinear Lagrangian with a light H-boson
• Constraints on Loryons in a Two Higgs Doublet Model