Goldstone-boson equivalence theorem and the Higgs resonance

G. Valencia, S Willenbrock

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Abstract

The Goldstone-boson equivalence theorem equates the amplitude for longitudinal-vector-boson scattering to the corresponding amplitude for the scattering of the Goldstone bosons of the R gauge. When the Higgs-boson width is included in the Higgs-boson propagator, this equality is apparently lost. We show that this apparent violation of the theorem is a result of making an inconsistent perturbative expansion of the amplitude. We demonstrate this for the process WL+WL-WL+WL- both on resonance (s=mH2) and far below (smH2). We also reformulate the scalar sector of the standard model in such a way that the equivalence theorem is manifestly upheld in the presence of a Higgs-boson width.

Original languageEnglish
Pages (from-to)853-859
Number of pages7
JournalPhysical Review D
Volume42
Issue number3
DOIs
Publication statusPublished - 1990
Externally publishedYes

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