Non-perturbative renormalization in kaon decays

Details Non-perturbative renormalization in kaon decays Non-perturbative renormalization in kaon decays

1996-08-21

arxiv.org/abs/hep-lat/9608108v1

Nucl.Phys.Proc.Suppl. 53 (1997) 883-885

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at LATTICE96(improvement), LaTeX 3 pages, uses espcrc2, 2 postscript figures

Scientific paper

10.1016/S0920-5632(96)00809-2

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 $\Delta I=1/2$ 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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