eta -> pi^+ pi^- pi^0 gamma in Chiral Perturbation Theory

Details eta -> pi^+ pi^- pi^0 gamma in Chiral Perturbation Theory eta -> pi^+ pi^- pi^0 gamma in Chiral Perturbation Theory

1999-05-20

arxiv.org/abs/hep-ph/9905420v2

Phys.Lett. B466 (1999) 337-344

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 1 fig; minor modifications (results unchanged)

Scientific paper

10.1016/S0370-2693(99)01144-2

We analyse the radiative decay $\eta \to \pi^+\pi^- \pi^0\gamma$ in the low--energy expansion of the Standard Model. We employ the notion of ``generalized bremsstrahlung'' to take full advantage of the theoretical and experimental information on the corresponding non-radiative $\eta \to 3 \pi$ decay. The direct emission amplitude of ${\cal O}(p^4)$ is due to one-loop diagrams with intermediate pions (isospin violating) and kaons (isospin conserving). The isospin conserving contributions to direct emission, including vector meson exchange appearing at ${\cal O}(p^6)$, are suppressed.

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