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arxiv: hep-ph/9911233 · v2 · submitted 1999-11-04 · ✦ hep-ph · hep-ex

Strong Enhancement of ε'/ε Through Final State Interactions

classification ✦ hep-ph hep-ex
keywords epsilonfinalstrongenhancementinteractionsstateagreementamplitude
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We quantify the important effect of strong final state interactions in the weak $K\to2\pi$ amplitudes, using the measured $\pi$--$\pi$ phase shifts with J=0 and $I=0,2$. The final rescattering of the two pions provides a strong enhancement of the $\Delta I =1/2$ amplitude, which so far has been neglected in the theoretical predictions of $\epsilon'/\epsilon$. This correction increases the Standard Model prediction of $\epsilon'/\epsilon$ to values in good agreement with the experimental measurements.

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  1. Study of $\eta^\prime \to \eta \pi\pi $ Decays in Large-$N_C$ Chiral Perturbation Theory

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    Including ππ final-state interactions in large-Nc ChPT improves agreement with η′ → η ππ data and yields Dalitz parameters a = -0.085(18)stat(4)syst, b = -0.081(10)stat(6)syst, d = -0.045(6)stat(8)syst.