Non-perturbative renormalization in kaon decays

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 $\Delta I=1/2$ 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.

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

References in corpus (3)

• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Chiral behaviour of the lattice $B_K$-parameter with the Wilson and Clover Actions at $\beta =6.0$
• Non-Perturbative Renormalisation of the Lattice $\Delta s=2$ Four-Fermion Operator

Cited by in corpus (7)

• Lattice B-parameters for $\Delta S=2$ and $\Delta I=3/2$ Operators
• Leptonic Decays of Heavy Quarks on the Lattice
• Four quark operators for kaon bag parameter with gradient flow
• The Kaon B-parameter with the Wilson Quark Action using Chiral Ward Identities
• Non-perturbative improvement of lattice QCD at large momenta
• Matrix elements relevant for Delta I=1/2 rule and epsilon-prime from Lattice QCD with staggered fermions
• Lattice QCD Calculation of the Kaon B-parameter with the Wilson Quark Action