One-loop perturbative unitarity and the Higgs-boson mass: A new approach

Journal Article · Sun Mar 11 23:00:00 EST 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.64.1215· OSTI ID:7188037

Durand, L; Johnson, J M; Lopez, J L ^[1]

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1. Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706 (USA) Center for Theoretical Physics, Department of Physics, Texas A M University, College Station, Texas 77843-4242 (USA)

We reexamine the unitarity constraints on the high-energy scattering of longitudinal {ital W} 's and {ital Z}'s and Higgs bosons in the standard model including one-loop corrections, and make an Argand-diagram analysis of the {ital j}=0 scattering amplitudes. We find that the theory is approximately unitary and weakly interacting at {ital O}({lambda}{sup 2}) for Higgs-boson couplings {lambda}{lt}{lambda}{sub {ital c}}=1.5--2 (equivalent to {ital M}{sub {ital H}}{lt}350--400 GeV), but that {ital O}({lambda}{sup 3}) or higher corrections must be included to restore perturbative unitarity for larger values of {lambda} or {ital M}{sub {ital H}}.

• DOE Contract Number: AC02-76ER00881
• OSTI ID: 7188037
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 64:11; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
ELEMENTARY PARTICLES
HIGGS BOSONS
INTERMEDIATE BOSONS
LIMITING VALUES
MASS
MATHEMATICAL MODELS
MATRICES
PARTICLE MODELS
PERTURBATION THEORY
POSTULATED PARTICLES
S MATRIX
SCATTERING AMPLITUDES
STANDARD MODEL
UNIFIED GAUGE MODELS
UNITARITY