Chiral Perturbation Theory Predictions for $η\to π^+ π^- π^0 γ$

Details Chiral Perturbation Theory Predictions for $η\to π^+ π^- π^0 γ$ Chiral Perturbation Theory Predictions for $η\to π^+ π^- π^0 γ$

1996-03-20

arxiv.org/abs/hep-ph/9603357v1

Phys.Lett. B377 (1996) 140-146

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 4 figures. PS file (96/8 N/P) available at http://www.nordita.dk/locinfo/preprints.html

Scientific paper

10.1016/0370-2693(96)00315-2

The $\eta \to \pi^+ \pi^- \pi^0 \gamma$ decay is discussed in the general context of Chiral Perturbation Theory (ChPT), assuming that the low--energy constants (counter--terms) are saturated by vector-meson resonances. The $\eta \to \pi^+ \pi^- \pi^0 \gamma$ amplitude can be separated in two distinct pieces: the inner bremsstrahlung, $A^{(IB)}$, and the structure dependent (or direct emission), $A^{(SD)}$, amplitudes. The former -- which essentially contains the same physics as $A(\eta \to \pi^+ \pi^- \pi^0)$ -- is found to dominate over the second one -- which looks more interesting from the ChPT point of view.

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