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Non-perturbative renormalization in kaon decays

A. Donini·V. Giménez·G. Martinelli·G. C. Rossi·M. Talevi·M. Testa·A. Vladikas
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Abstract

We discuss the application of the MPSTV non-perturbative method \cite{NPM} to the operators relevant to kaon decays. This enables us to reappraise the long-standing question of the $ΔI=1/2$ rule, which involves power-divergent subtractions that cannot be evaluated in perturbation theory. We also study the mixing with dimension-six operators and discuss its implications to the chiral behaviour of the $B_K$ parameter.

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A. Donini, V. Giménez, G. Martinelli, G. C. Rossi, M. Talevi, M. Testa, A. Vladikas. 1996-08-21. Non-perturbative renormalization in kaon decays. https://doi.org/10.1016/s0920-5632(96)00809-2

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