$η\to π^0 γγ$ decay within unitarized chiral perturbation theory

Details $η\to π^0 γγ$ decay within unitarized chiral perturbation theory $η\to π^0 γγ$ decay within unitarized chiral perturbation theory

2002-10-21

arxiv.org/abs/hep-ph/0210282v2

Phys.Rev. D67 (2003) 073013

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 10 figures, published version

Scientific paper

10.1103/PhysRevD.67.073013

We improve the calculations of the $\eta \to \pi^0 \gamma \gamma$ decay within the context of meson chiral lagrangians. We use a chiral unitary approach for the meson-meson interaction, thus generating the $a_0(980)$ resonance and fixing the longstanding sign ambiguity on its contribution. This also allows us to calculate the loops with one vector meson exchange, thus removing a former source of uncertainty. In addition we ensure the consistency of the approach with other processes. First, by using vector meson dominance couplings normalized to agree with radiative vector meson decays. And, second, by checking the consistency of the calculations with the related $\gamma \gamma \to \pi^0 \eta$ reaction. We find an $\eta \to \pi^0 \gamma \gamma$ decay width of $0.47\pm 0.10$ eV, in clear disagreement with published data but in remarkable agreement with the most recent measurement.

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