Goldstone-boson equivalence theorem and the Higgs resonance
- Department of Physics, Brookhaven National Laboratory, Upton, NY (USA)
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 {ital R}{sub {xi}} 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 {ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}}{r arrow}{ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}} both on resonance ({ital s}={ital m}{sub {ital H}}{sup 2}) and far below ({ital s}{much lt}{ital m}{sub {ital H}}{sup 2}). 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.
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 6482967
- Journal Information:
- Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:3; ISSN PRVDA; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
ELASTIC SCATTERING
ELEMENTARY PARTICLES
FIELD THEORIES
GOLDSTONE BOSONS
HIGGS BOSONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
MASS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
PROPAGATOR
RESONANCE
S CHANNEL
SCATTERING
SCATTERING AMPLITUDES
SIGMA MODEL
STANDARD MODEL
SYMMETRY BREAKING
T CHANNEL
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
W MINUS BOSONS
W PLUS BOSONS
WEINBERG-SALAM GAUGE MODEL