The Equivalence Theorem for the Heavy-Higgs Standard Model and the Gauged Nonlinear Sigma-Model

Abstract

The equivalence theorem states that the leading part of the amplitude for a process with external longitudinally polarized vector bosons is given by the amplitude in which the longitudinal vector bosons are replaced by the corresponding pseudo-Goldstone bosons. The validity of this theorem within the standard model with a heavy Higgs boson and within the gauged nonlinear sigma-model (in which the Higgs boson is absent) is shown. Furthermore it is examined to what extent also internal lines other than scalar lines can be neglected. A simple power-counting method is developed which determines the leading diagrams for a given process at an arbitrary loop order. This method is also applied to effective Lagrangians with additional nonstandard interaction terms of higher dimension (chiral Lagragians).

17 pages LaTeX, 6 figures as uuencoded eps-files

References in corpus (5)

• The Electroweak Chiral Lagrangian for the Standard Model with a Heavy Higgs
• Proof of the Equivalence Theorem in the Chiral Lagrangian Formalism
• The Equivalence Theorem for Chiral Lagrangians
• The Equivalence Theorem and Effective Lagrangians
• High-Energy Vector-Boson Scattering with Non-Standard Interactions and the Role of a Scalar Sector

Cited by in corpus (7)

• Radiative Corrections to ZZ->ZZ in the Electroweak Standard Model
• Dyson summation without violating Ward identities and the Goldstone-boson equivalence theorem
• RENORMALIZATION and the EQUIVALENCE THEOREM: ON-SHELL SCHEME
• The Higgs Boson in the Standard Model - From LEP to LHC: Expectations, Searches, and Discovery of a Candidate
• Electroweak interactions and high-energy limit
• The Equivalence Theorem and infrared divergences
• Global anomalies and the gauge-boson equivalence theorem