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

Journal Article · Fri Nov 30 23:00:00 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), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:11; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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