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The ΔI = 1/2 Selection Rule. A Review

1996/07/17 by M. Fabbrichesi, Fabbrichesi, M.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9607348

to appear in the proceedings of the Workshop on K Physics, Orsay, May 30-June 4, 1996

arxiv created 1996/07/17 · openalex publication_date 1996/07/17 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

I review a recent attempt to reproduce 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. For values of these parameters within the current determinations, the ΔI= 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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