One-loop calculation of the K/sub l/3 form factors in a renormalizable SU(3) sigma model and tests of chiral-symmetry breaking
The K/sub l/3 form factors are investigated in the one-loop approximation within the context of a linear renormalizable SU(3) sigma model. The model incorporates SU(3) nonets of pseudoscalar (..pi..,K,eta,eta') and scalar (epsilon,kappa,sigma,sigma') mesons. The eta', epsilon, kappa, sigma, and sigma' mesons are associated with the X/sup 0/(957), delta (980), kappa (1400), S* (980), and epsilon (1300), respectively. The Lagrangian contains the most general renormalizable chiral-SU(3) x SU(3) -invariant couplings as well as explicit linear symmetry-breaking terms belonging to the (3,3*) direct-sum (3*,3) representation of SU(3) x SU(3). All calculations are carried out in the one-loop approximation. With this model we first obtain a reasonable approximation to the scalar and pseudoscalar mass spectrum and the known leptonic decay constants. Most of the masses and decay constants are reproduced within 10%. In addition, the second-order corrections were usually in the neighborhood of 15--20% or less, supporting the conjecture that higher-order strong-interaction effects may, in most cases, be rather small. Employing these solutions, we calculate the K/sub l/3 form factors and compare these with recent experimental studies. The predictions for lambda/sub +/ are too small probably due to the fact that, at this level of approximation, the model contains no spin-one poles (vector mesons). However, the model predictions for lambda/sub 0/ and xi (0) are fairly good. A number of theoretical predictions for the K/sub l/3 form factors based on current algebra and chiral perturbation theory are then investigated. In particular, we were interested in the magnitude of the corrections to various predictions derived using specific symmetry assumptions.
- Research Organization:
- Department of Physics, Carleton University, Ottawa, Canada
- OSTI ID:
- 5534652
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:3; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645302 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOSONS
CHIRAL SYMMETRY
DECAY
ELEMENTARY PARTICLES
FORM FACTORS
FUNCTIONS
HADRONS
HAMILTONIANS
INTERACTIONS
KAONS
KAONS NEUTRAL
KAONS NEUTRAL LONG-LIVED
LAGRANGIAN FUNCTION
LEPTONIC DECAY
LIE GROUPS
MASS SPECTRA
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MESONS
PARTICLE DECAY
PARTICLE MODELS
PARTICLE PROPERTIES
PERTURBATION THEORY
PSEUDOSCALAR MESONS
QUANTUM OPERATORS
RENORMALIZATION
SCALAR MESONS
SIGMA MODEL
SPECTRA
STRANGE PARTICLES
STRONG INTERACTIONS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
WEAK INTERACTIONS
WEAK PARTICLE DECAY