# Chiral anomalies and effective vector meson Lagrangian beyond the tree level

## Abstract

The decays ..pi../sup O/ ..-->.. ..gamma gamma.., rho ..-->.. ..pi gamma.., ..omega.. ..-->.. ..pi gamma.., ..omega.. ..-->.. 3..pi.. and ..gamma.. ..-->.. 3..pi.. are studied in the framework of the chiral invariant effective Vector Meson Lagrangian beyond the tree level. The standard Lagrangian is enlarged by including an infinite number of radial excitations which are summed according to the dual model. As a result tree level diagrams are modified by a universal form factor at each vertex containing off-mass-shell mesons, but still respecting chiral anomaly low energy theorems. These vertex corrections bring the tree level predictions into better agreement with experiment. The presence of the ..omega.. ..-->.. 3..pi.. contact term is confirmed but its strength is considerably smaller than at tree level.

- Authors:

- Publication Date:

- Research Org.:
- Facultad de Fisica, Pontificia Universidad Catolica de Chile, Santiago (CL)

- OSTI Identifier:
- 5053229

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Mod. Phys. Lett. A; (United States); Journal Volume: 2:12

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LAGRANGE EQUATIONS; CHIRAL SYMMETRY; CHIRALITY; VECTOR MESONS; HADRONIC PARTICLE DECAY; MESON REACTIONS; FEYNMAN DIAGRAM; RADIATIVE CORRECTIONS; BOSONS; CHARGED-PARTICLE REACTIONS; CORRECTIONS; DECAY; DIAGRAMS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; HADRON REACTIONS; HADRONS; MESONS; NUCLEAR REACTIONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE DECAY; PARTICLE PROPERTIES; SYMMETRY; 645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties

### Citation Formats

```
Dominguez, C.A..
```*Chiral anomalies and effective vector meson Lagrangian beyond the tree level*. United States: N. p., 1987.
Web. doi:10.1142/S0217732387001245.

```
Dominguez, C.A..
```*Chiral anomalies and effective vector meson Lagrangian beyond the tree level*. United States. doi:10.1142/S0217732387001245.

```
Dominguez, C.A.. Tue .
"Chiral anomalies and effective vector meson Lagrangian beyond the tree level". United States. doi:10.1142/S0217732387001245.
```

```
@article{osti_5053229,
```

title = {Chiral anomalies and effective vector meson Lagrangian beyond the tree level},

author = {Dominguez, C.A.},

abstractNote = {The decays ..pi../sup O/ ..-->.. ..gamma gamma.., rho ..-->.. ..pi gamma.., ..omega.. ..-->.. ..pi gamma.., ..omega.. ..-->.. 3..pi.. and ..gamma.. ..-->.. 3..pi.. are studied in the framework of the chiral invariant effective Vector Meson Lagrangian beyond the tree level. The standard Lagrangian is enlarged by including an infinite number of radial excitations which are summed according to the dual model. As a result tree level diagrams are modified by a universal form factor at each vertex containing off-mass-shell mesons, but still respecting chiral anomaly low energy theorems. These vertex corrections bring the tree level predictions into better agreement with experiment. The presence of the ..omega.. ..-->.. 3..pi.. contact term is confirmed but its strength is considerably smaller than at tree level.},

doi = {10.1142/S0217732387001245},

journal = {Mod. Phys. Lett. A; (United States)},

number = ,

volume = 2:12,

place = {United States},

year = {Tue Dec 01 00:00:00 EST 1987},

month = {Tue Dec 01 00:00:00 EST 1987}

}