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 language | English |
|---|---|
| Pages (from-to) | 853-859 |
| Number of pages | 7 |
| Journal | Physical Review D |
| Volume | 42 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1990 |
| Externally published | Yes |