Equivalence Theorem Redux
Jun, 198920 pages
Published in:
- Phys.Rev.D 41 (1990) 264
Report number:
- HUTP-89-A030
Citations per year
Abstract: (APS)
The equivalence theorem states that amplitudes involving longitudinal vector bosons are equal to those with the corresponding unphysical scalars in the limit MW2s→0. There are two ways to approach this limit, depending on whether MWMH→0 or MH2s→0. We show that the theorem has a different physical interpretation in each limit, but its validity in both depends only on the wave-function renormalization of the unphysical Goldstone bosons. We derive a condition that the renormalization parameters must satisfy in order for the theorem to hold. We show that this condition is satisfied in the first limit, appropriate to the heavy-Higgs-boson regime, if momentum subtraction at a scale m≪MH is used. With this prescription, the theorem is true to lowest nonzero order in g and to all orders in the Higgs-boson coupling.- intermediate boson: longitudinal
- Goldstone particle
- renormalization
- perturbation theory
- dependence: gauge
- gauge field theory: SU(2) x U(1)
- Ward-Takahashi identity
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