The Delta I=1/2 Rule in Kaon Decays: A New Look
Cheng, Hai-Yang
Original · EN
The K→ππ decay amplitudes are studied within the framework of generalized factorization in which the effective Wilson coefficients are gauge-invariant, renormalization-scale and -scheme independent while factorization is applied to the tree-level hadronic matrix elements. Nonfactorized contributions to the hadronic matrix elements of (V-A)(V-A) four-quark operators, which are needed to account for the suppression of the ΔI=3/2 K→ππ amplitude A₂ and the enhancement of the ΔI=1/2 A₀ amplitude, are phenomenologically extracted from the measured K+→π+π⁰ decay and found to be large. The A₀/A₂ ratio is predicted to lie in the range 15-17 for mₛ(1 GeV)=(127-150) MeV. Vertex and penguin-type radiative corrections to the matrix elements of four-quark operators and nonfactorized effects due to soft-gluon exchange account for the bulk of the ΔI=1/2 rule. Comparison of the present analysis with the chiral-loop approach is given.
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