The Equivalence Theorem for Chiral Lagrangians

Abstract

In this work we derive the version of the Equivalence Theorem that applies when the symmetry breaking sector of the Standard Model is described by a general chiral lagrangian. The demonstration is valid for renormalized fields for any value of the gauge parameter (in $R_{\xi }$ gauges) and any parametrization of the coset space. It is based in the absence of gauge anomalies which makes it possible to build an (anti)-BRS invariant chiral lagrangian in terms of the renormalized fields and therefore to use the corresponding Ward identities to obtain the theorem.

18 pages, LaTeX, FT/UCM/2/94 (We have corrected some errata)

References in corpus (5)

• A global fit of $\pi \pi$ and $\pi K$ elastic scattering in ChPT with dispersion relations
• The Equivalence Theorem and Global Anomalies
• The Implications of Naturalness in Effective Field Theory on the Masses of Resonances
• Equivalence Theorem and Dynamical Symmetry Breaking:
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Cited by in corpus (36)

• Chiral Perturbation Theory
• The Inverse Amplitude Method and Adler Zeros
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• Longitudinal WW scattering in light of the "Higgs" discovery
• Equivalence Theorem and Probing the Electroweak Symmetry Breaking Sector
• 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
• Strongly Interacting Vector Bosons at TeV e+-e- Linear Colliders
• LHC sensitivity to the resonance spectrum of a minimal strongly interacting electroweak symmetry breaking sector
• Radiative corrections to WL WL scattering in composite Higgs models
• Light "Higgs", yet strong interactions
• 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
• Learning about the strongly interacting symmetry breaking sector at LHC
• Dyson summation without violating Ward identities and the Goldstone-boson equivalence theorem
• RENORMALIZATION and the EQUIVALENCE THEOREM: ON-SHELL SCHEME
• Production of vector resonances at the LHC via WZ-scattering: a unitarized EChL analysis
• Effective Field Theory Analysis of New Physics in e+e- -> W+W- at a Linear Collider
• The Equivalence Theorem and Effective Lagrangians
• Anomalous gtt couplings in the Littlest Higgs Model with T-parity
• Introducing tools to test Higgs interactions via $WW$ scattering I: one-loop calculations and renormalization in the HEFT
• Coupling WW, ZZ unitarized amplitudes to $\gamma \gamma$ in the TeV region
• Global Power Counting Analysis On Probing Electroweak Symmetry Breaking Mechanism At High Energy Colliders
• 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
• Probing the Higgs mechanism via $\gamma \gamma \to W^{+}{W}^{-}$
• 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
• The Equivalence Theorem for the Heavy-Higgs Standard Model and the Gauged Nonlinear Sigma-Model
• Applicability constraints of the Equivalence Theorem
• The Higgs resonance in vector boson scattering
• The vector resonance triplet with the direct coupling to the third quark generation
• Top-BESS model and its phenomenology
• Global anomalies and the gauge-boson equivalence theorem
• Introducing tools to test Higgs interactions via $WW$ scattering II: the coupled channel formalism and scalar resonances