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

Carsten Grosse-Knetter
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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).

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Carsten Grosse-Knetter. 1994-05-30. The Equivalence Theorem for the Heavy-Higgs Standard Model and the Gauged Nonlinear Sigma-Model. https://doi.org/10.1007/bf01571287

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