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Chiral-scale perturbation theory $\chi$PT$_\sigma$ has been proposed as an alternative to chiral $SU(3)_L\times SU(3)_R$ perturbation theory which explains the $\Delta I = 1/2$ rule for kaon decays.
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G. Colangelo, Chiral perturbation theory, dispersion relations and final state interactions in K → π π K\to\pi\pi , Nucl. Phys. Proc. Suppl. 106
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