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), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:9; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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