Nonlinear effective Lagrangian for pseudoscalar mesons in broken SU(3) x SU(3)

Journal Article · Sun Jul 01 04:00:00 EDT 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.30.234· OSTI ID:6568699

Pham, T N

A symmetry-breaking term with derivative coupling Tr((a'+b'lambda/sub 8/+c'lambda/sub 3/) Mpartial/sub ..mu../Mpartial/sub ..mu../M/sup dagger/+H.c.) originating from the (3,3)+(3,3) quark mass term is added to the minimal nonlinear meson Lagrangian for a unified description of SU(3) x SU(3) breaking. These effects arise from a rescaling of the meson fields which gives automatically the K/sub l/3 Callan-Treiman relation. SU(3) breaking for f/sub K//f/sub ..pi../ and f8/f/sub ..pi../ is understood to come from the current quark mass m/sub s/. Using this result, we find GAMMA(eta..-->..2..gamma..) = 289 +- 20 eV for theta/sub P/ = 10.5/sup 0/ in good agreement with the measured value 324 +- 50 eV. It is also shown that the K..-->..3..pi.. slope parameters and relative decay rates are unaffected by this symmetry breaking.

• Research Organization: Centre de Physique Theorique de l'Ecole Polytechnique, Plateau de Palaiseau, 91128 Palaiseau, Cedex, France
• OSTI ID: 6568699
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 30:1; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
645302* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CURRENT ALGEBRA
ELEMENTARY PARTICLES
ETA MESONS
FIELD THEORIES
FUNCTIONS
HADRONS
LAGRANGIAN FUNCTION
LIE GROUPS
MATRIX ELEMENTS
MESONS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RADIATIVE DECAY
RENORMALIZATION
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS