I : Chiral Perturbation for Kaons II: The $ΔI=1/2$-rule in the Chiral Limit

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I : Chiral Perturbation Theory is introduced and its applications to semileptonic and nonleptonic kaon decays are discussed. II: The method of large $N_c$ is used to calculate $K\toππ$ nonleptonic matrix elements, in particular the matching procedure between long and short-distance evolution that takes all scheme dependence correctly into account is discussed. Numerical results reproduce the $ΔI=1/2$ rule without the introduction of any free parameters.
Talk presented at Kaon99, Chicago, June 20-27, 1999, 11 pages

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