Effect of the [ital t[bar t]] threshold on electroweak parameters

Journal Article · Sun Jan 31 23:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.883· OSTI ID:6818958

Kniehl, B A ^[1]; Sirlin, A ^[2]

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1. Deutsches Elektronen-Synchrotron, Notkestrasse 85, 2000 Hamburg (Germany)
2. Department of Physics, New York University, 4 Washington Place, New York, New York 10003 (United States)

Threshold effects in [ital e][sup +][ital e[minus]][r arrow][ital t[bar t]] induce contributions to key electroweak parameters such as [Delta][rho], [Delta][ital r], and sin[sup 2][theta][sub [ital W]] beyond the scope of perturbative calculations of [ital O]([alpha]) and [ital O]([alpha][alpha][sub [ital s]]). We quantitatively analyze these effects using once-subtracted dispersion relations which manifestly satisfy relevant Ward identities. The derivation and properties of the dispersion relations are discussed at some length. We find that the threshold effects enhance the familiar perturbative [ital O]([alpha][alpha][sub [ital s]]) corrections by between 25% and 40%, depending on the [ital t]-quark mass. The shift in the predicted value of the [ital W]-boson mass due to the threshold effects ranges from [minus]8 MeV at [ital m][sub [ital t]]=91 GeV to i45 MeV at [ital m][sub [ital t]]=250 GeV.

• OSTI ID: 6818958
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:3; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BASIC INTERACTIONS
BOSONS
CORRECTIONS
DISPERSION RELATIONS
ELECTROMAGNETIC INTERACTIONS
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
ENERGY
FERMIONS
FIELD THEORIES
HADRONS
INTERACTIONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
LEPTON-LEPTON INTERACTIONS
MASS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATRICES
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
PERTURBATION THEORY
PHASE SPACE
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKONIUM
QUARKS
RADIATIVE CORRECTIONS
S MATRIX
SPACE
THRESHOLD ENERGY
TOPONIUM
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
UNITARITY
VACUUM POLARIZATION
W MINUS BOSONS
W PLUS BOSONS
WARD IDENTITY
WEINBERG-SALAM GAUGE MODEL