A phenomenological description of $K\toππγ$ magnetic transitions

Details A phenomenological description of $K\toππγ$ magnetic transitions A phenomenological description of $K\toππγ$ magnetic transitions

2000-10-12

arxiv.org/abs/hep-ph/0010122v2

JHEP 0010 (2000) 043

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 6 figures, using JHEP.cls, minor changes, version for publication

Scientific paper

10.1088/1126-6708/2000/10/043

A phenomenological analysis of $K\to \pi\pi\gamma$ ($K_L\to\pi^+\pi^-\gamma$ and $K^+\to\pi^+\pi^0\gamma$) with the direct emission photon is carried out beyond the leading order in the chiral perturbation theory. We show that the experimental evidence for the large photon energy dependence of the magnetic amplitude in $K_L\to\pi^+\pi^-\gamma$ seems to indicate an interesting consequence: vector meson dominance must be implemented at $O(p^4)$, which is not a general feature of the chiral perturbation theory. The phenomenology of $K^+\to\pi^+\pi^0\gamma$ is also analyzed using the same scheme.

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