Pade approximants and unitarity in W sup + W sup minus and Z sup 0 Z sup 0 scattering

Journal Article · Sat Dec 01 00:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.3660· OSTI ID:5698287

Dicus, D A ^[1]; Repko, W W ^[2]

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1. Center for Particle Theory, University of Texas, Austin, TX (USA)
2. Department of Physics and Astronomy, Michigan State University, East Lansing, MI (USA)

The effect of unitarization on the {ital s}-wave amplitudes for the coupled {ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}}{endash}{ital Z}{sub {ital L}}{sup 0}{ital Z}{sub {ital L}}{sup 0} system is studied using the Pade-approximant method and the complete one-loop expressions for the perturbative amplitudes. For values of the Higgs-boson-mass parameter {ital m}{sub {ital H}} less than 1.0 TeV, the Pade amplitudes and those unitarized using the one-loop {ital K}-matrix method are essentially identical. When {ital m}{sub {ital H}}, which also determines the strength of the Higgs-boson self-coupling in the standard model, exceeds 2.6 TeV, the Pade amplitudes begin to develop a resonant feature {ital below} the value of {ital m}{sub {ital H}}. The {ital K}-matrix amplitudes {ital do} {ital not} develop a low-mass resonance. At {ital m}{sub {ital H}}=10 TeV, this peak occurs at about 1.4 TeV, while at {ital m}{sub {ital H}}=50 TeV, it occurs at 950 GeV with a width of about 325 GeV. The Argand diagrams exhibit resonant behavior at these energies. By examining the Argand diagrams for a large range of values of {ital m}{sub {ital H}}, it appears that this Higgs-boson-like resonance has a mass that does not exceed 2.6 TeV. It is also evident that both the mass and width of the resonance decrease as {ital m}{sub {ital H}} increases beyond 10 TeV. The couplings of the resonance to {ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}} and {ital Z}{sub {ital L}}{sup 0}{ital Z}{sub {ital L}}{sup 0} are similar to the standard-model couplings of a low-mass elementary Higgs boson. We compare our conclusions with those reached by Dobado, Herrero, and Truong for {ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}} scattering.

• DOE Contract Number: FG02-85ER40209
• OSTI ID: 5698287
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 42:11; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
INTERMEDIATE VECTOR BOSONS
PAIR PRODUCTION
ARGAND DIAGRAMS
HADRON-HADRON INTERACTIONS
HIGGS BOSONS
K MATRIX
MASS
PADE APPROXIMATION
PERTURBATION THEORY
S WAVES
SCATTERING AMPLITUDES
STANDARD MODEL
SYMMETRY BREAKING
UNITARITY
AMPLITUDES
BOSONS
DIAGRAMS
ELEMENTARY PARTICLES
INTERACTIONS
INTERMEDIATE BOSONS
MATHEMATICAL MODELS
MATRICES
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
SCATTERPLOTS
UNIFIED GAUGE MODELS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties