Strong Higgs binding of heavy-fermion systems

Journal Article · Sun Nov 01 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.4029· OSTI ID:7200162

Jain, P; Sommerer, A J; McKay, D W; Spence, J R; Vary, J P; Young, B ^[1]

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1. Department of Physics and Astronomy, The University of Kansas, Lawrence, Kansas 66045-2151 (United States) Department of Physics and Astronomy and Ames Laboratory, Iowa State University, Ames, Iowa 50011 (United States)

We study the fermion-antifermion bound-state spectrum for heavy quarks and leptons by including the effect of Higgs-boson exchange. We use the Bethe-Salpeter equation in the ladder approximation and the {ital N}/{ital D} method for our calculation. The ladder Bethe-Salpeter equation is solved by using several well-known approximation schemes: the instantaneous approximation, the Blankenbecler-Sugar approximation, and covariant expansion in terms of Tschebeshev polynomials. Our results show that for quark-antiquark systems the Higgs-boson exchange generally dominates over QCD for quark masses larger than 500 GeV, and leads to very deep binding for quark masses in the TeV region. In the absence of the QCD force, as is the case with leptons, we determine the minimum value of the fermion mass needed to form a bound state as a function of the Higgs-boson mass. We further find that tightly bound states where the bound-state masses drop to zero appear for fermion masses between 1 and 1.8 TeV for all the approximations to the Bethe-Salpeter equation that we employed. The {ital N}/{ital D} method also leads to tightly bound states for fermion masses larger than about 1 TeV but does not in general yield zero-mass bound states. The meaning of the tightly bound states is discussed.

• DOE Contract Number: FG02-85ER40214; FG02-87ER40371
• OSTI ID: 7200162
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:9; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662210 -- Specific Theories & Interaction Models
662230* -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTIMATTER
ANTIPARTICLES
BETHE-SALPETER EQUATION
BOSONS
BOUND STATE
CORRECTIONS
ELEMENTARY PARTICLES
EQUATIONS
EXCHANGE INTERACTIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HIGGS BOSONS
INTERACTIONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
LADDER APPROXIMATION
LEPTONS
MASS
MATHEMATICAL MODELS
MATTER
NUCLEAR POTENTIAL
PARTICLE MODELS
POLYNOMIALS
POSTULATED PARTICLES
POTENTIALS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
RADIATIVE CORRECTIONS
STANDARD MODEL
SYMMETRY BREAKING
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
WEINBERG-SALAM GAUGE MODEL
YUKAWA POTENTIAL
Z NEUTRAL BOSONS