The role of chiral loops in $η\toπ^0π^0γγ$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, Latex. Discussion on the resonant background enlarged, sign error corrected, basic results unchanged. To appear in P

Scientific paper

10.1016/S0370-2693(97)00669-2

We consider the rare decay $\eta\to\pi^0\pi^0\gamma\gamma$ and calculate the non-resonant contribution to the amplitude to one loop in Chiral Perturbation Theory. We display our result as both a diphoton energy spectrum and a partial decay rate as a function of the photon energy cut. It turns out that the one-loop correction can be numerically very important and could be detected, at sufficiently large center-of-mass photon energies, from a measurement of the partial decay width.

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