The $ΔI = 1/2$ Selection Rule

Details The $ΔI = 1/2$ Selection Rule The $ΔI = 1/2$ Selection Rule

1995-11-16

arxiv.org/abs/hep-ph/9511341v3

Nucl.Phys. B469 (1996) 181-201

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revised version to be published in Nuclear Physics B

Scientific paper

10.1016/0550-3213(96)00145-9

We compute the isospin $I= 0$ and 2 amplitudes for the decay of a kaon into two pions by estimating the relevant hadronic matrix elements in the chiral quark model. The results are parametrized in terms of the quark and gluon condensates and of the constituent quark mass $M$. The latter is a parameter characteristic of the model, that we restrict by matching the results in the two $\gamma_5$-schemes (HV and NDR) of dimensional regularization. We find that, for values of these parameters within the current determinations, the $\Delta I= 1/2$ selection rule is well reproduced by means of the cumulative effects of short-distance NLO Wilson coefficients, penguin diagrams, non-factorizable soft-gluon corrections and meson-loop renormalization.

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