On the Equivalence Theorem in the $\chi PT$ Description of the Symmetry Breaking Sector of the Standard Model

Abstract

We develop an alternative formulation of the symmetry breaking sector of the Standard Model as a gauged non-linear sigma model (NLSM) following the philosophy of the Chiral lagrangian approach, which is the only compatible with all the experimental and theoretical constraints. We derive the BRS symmetry of the model and the corresponding quantum lagrangian, which is a generalization of the standard Faddeev-Popov method, in a way which is covariant with respect to the reparametrizations of the coset space of the NLSM. Then we use the BRS invariance of the quantum lagrangian to state the Equivalence Theorem for the renormalized $S$-matrix elements calculated as a chiral expansion.

LaTeX. Final version as it will appear in Nuclear Physics B (1994)

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• A global fit of $\pi \pi$ and $\pi K$ elastic scattering in ChPT with dispersion relations
• The Electroweak Chiral Lagrangian for the Standard Model with a Heavy Higgs
• Regularization Methods in Chiral Perturbation Theory
• The Equivalence Theorem and Global Anomalies
• The Implications of Naturalness in Effective Field Theory on the Masses of Resonances
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Cited by in corpus (38)

• Chiral Perturbation Theory
• The inverse amplitude method in Chiral Perturbation Theory
• The Inverse Amplitude Method and Adler Zeros
• Falsifying Models of New Physics Via WW Scattering
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• Scales of Fermion Mass Generation and Electroweak Symmetry Breaking
• Equivalence Theorem and Probing the Electroweak Symmetry Breaking Sector
• Longitudinal WW scattering in light of the "Higgs" discovery
• 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
• Non-decoupling effects of the Standard Model Higgs boson to one loop
• 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
• Resonance Spectrum of the strongly interacting Symmetry Breaking Sector
• 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
• The flair of Higgsflare: Distinguishing electroweak EFTs with $W_L{W}_L\to n\times h$
• RENORMALIZATION and the EQUIVALENCE THEOREM: ON-SHELL SCHEME
• SMEFT is falsifiable through multi-Higgs measurements (even in the absence of new light particles)
• Production of vector resonances at the LHC via WZ-scattering: a unitarized EChL analysis
• Strongly coupled theories beyond the Standard Model
• 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
• 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
• Zeros of the W_L Z_L -> W_L Z_L amplitude: where vector resonances stand
• 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 vector resonance triplet with the direct coupling to the third quark generation
• Top-BESS model and its phenomenology
• DETERMINATION OF THE ELECTROWEAK CHIRAL-LAGRANGIAN PARAMETERS AT THE LHC
• 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
• Consistent Dyson summation of Higgs propagators in nonlinear parameterizations revisited