Perturbative unitarity and high-energy W sub L sup + , Z sub L , H scattering. One-loop corrections and the Higgs-boson coupling

Journal Article · Fri May 01 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.3112· OSTI ID:7114018

Durand, L ^[1]; Johnson, J M ^[2]; Lopez, J L ^[3]

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1. Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706 (United States)
2. Department of Physics, Wayne State University, Detroit, Michigan 48202 (United States)
3. Center for Theoretical Physics, Department of Physics, Texas A M University, College Station, Texas 77843-4242 (United States)

We reexamine the unitarity constraints on the high-energy scattering of longitudinally polarized {ital W}'s and {ital Z}'s and Higgs bosons in the standard model including one-loop corrections. Using an Argand diagram analysis, we find that the {ital j}=0 scattering amplitudes are approximately unitary and weakly interacting at order {lambda}{sup 2} for Higgs-boson couplings {lambda}({ital s},{ital M}{sub {ital H}}{sup 2}){approx lt}2, but that corrections of order {lambda}{sup 3} or higher must be included to restore perturbative unitarity for larger values of {lambda}. We show also that two-loop ({ital O}({lambda}{sup 3})) corrections cannot extend the range of validity of perturbation theory beyond {lambda}{approx}2.2. An analysis of inelastic 2{r arrow}4 scattering in the {ital W}{sub {ital L}}{sup {plus minus}},{ital Z}{sub {ital L}}, {ital H} system gives an independent but weaker limit {lambda}({ital s},{ital M}{sub {ital H}}{sup 2}){approx lt}5. The limit {lambda}({ital s},{ital M}{sub {ital H}}{sup 2}){lt}2 translates to a physical-Higgs-boson mass {ital M}{sub {ital H}}{approx lt}400 GeV if the bound is to hold up to energies of a few TeV, or {ital M}{sub {ital H}}{approx lt}160 GeV in perturbatively unified theories with a mass scale of order 10{sup 15} GeV. For masses much larger than these bounds, low-order perturbation theory fails and the Higgs sector of the standard model becomes effectively strongly interacting.

• DOE Contract Number: AC02-76ER00881
• OSTI ID: 7114018
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 45:9; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HADRON-HADRON INTERACTIONS
SCATTERING AMPLITUDES
HIGGS BOSONS
COUPLING CONSTANTS
ARGAND DIAGRAMS
INELASTIC SCATTERING
MASS
PERTURBATION THEORY
POLARIZED BEAMS
STANDARD MODEL
SYMMETRY BREAKING
UNITARITY
W MINUS BOSONS
W PLUS BOSONS
Z NEUTRAL BOSONS
AMPLITUDES
BEAMS
BOSONS
DIAGRAMS
ELEMENTARY PARTICLES
INTERACTIONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
MATHEMATICAL MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
SCATTERING
SCATTERPLOTS
UNIFIED GAUGE MODELS
662340* - Hadron Interactions- (1992-)