$γγ\to π^0 π^0$ and $η\to π^0 γγ$ at low energy within the Extended Nambu Jona-Lasinio Model

Details $γγ\to π^0 π^0$ and $η\to π^0 γγ$ at low energy within the Extended Nambu Jona-Lasinio Model $γγ\to π^0 π^0$ and $η\to π^0 γγ$ at low energy within the Extended Nambu Jona-Lasinio Model

1995-02-07

arxiv.org/abs/hep-ph/9502243v1

Nucl.Phys.B452:626-648,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 27 pages, 1 figure available on request

Scientific paper

10.1016/0550-3213(95)00380-B

Within the Extended Nambu Jona-Lasinio model, we calculate the $O(p^6)$ counterterms entering the low-energy expansion of the $\gamma \gamma \to \pi^0 \pi^0$ and the $\eta \to \pi^0 \gamma \gamma$ amplitudes in Chiral Perturbation Theory. For $\gamma \gamma \to \pi^0 \pi^0$ our results are compatible with both the experimental data and the two-loop calculation using meson resonance saturation. For the $\eta$ decay we find $\Gamma(\eta\to\pi^0 \gamma\gamma)=0.58\pm 0.3$ eV which is in agreement with experiment within one standard deviation. We also give predictions for the neutral pion polarizabilities and compare them with the results obtained from resonance saturation.

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