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Virtual Photon Correction to the $K^+\toπ^+π^0π^0$ Decay

A. Nehme
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Abstract

We consider electromagnetic corrections to the non-leptonic kaon decay, $K^+\toπ^+π^0π^0$, due to explicit virtual photons only. The decay amplitude is calculated at one-loop level in the framework of Chiral Perturbation Theory. The interest in this process is twofold: It is actually measured by the NA48 collaboration from one side, and, the value of the amplitude at the $ππ$ threshold gives access to $ππ$ scattering lengths from the other side. We found that the present correction is about 5 to 6% the value of the Born amplitude squared. Combined with another piece published recently, this fixes the size of isospin breaking correction to the amplitude squared to 7% its one-loop level value in the absence of isospin breaking and at the center of Dalitz plot.

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A. Nehme. 2004-06-20. Virtual Photon Correction to the $K^+\toπ^+π^0π^0$ Decay. https://doi.org/10.1103/physrevd.70.094025

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