New Analysis of the ∆ I = 1 / 2 Rule in the 1 / N c Expansion for K → ππ Decays ∗

Abstract

We analyze long-distance contributions to the K → ππ amplitudes relevant for the ∆I = 1/2 selection rule in the framework of the 1/Nc expansion. We use a modified prescription for the identification of meson momenta in the chiral loop corrections to gain a consistent matching with the short-distance part. Our approach involves a separation of non-factorizable and factorizable 1/Nc corrections. Along these lines we calculate the one-loop contributions from the lowest order lagrangian. Our main result is an additional enhancement of the ∆I = 1/2 channel amplitude which we find in good agreement with experiment.

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Cite this paper

@inproceedings{Hambye1998NewAO, title={New Analysis of the ∆ I = 1 / 2 Rule in the 1 / N c Expansion for K → ππ Decays ∗}, author={Thomas Hambye}, year={1998} }