$K\to \pi \pi$ Decays with Domain Wall Fermions: Towards Physical Results

Abstract

We are using domain wall fermions to study $K\to \pi \pi$ matrix elements by measuring $K\to \pi$ and $K\to 0$ matrix elements on the lattice and employing chiral perturbation theory to relate these to the desired physical result. The residual chiral symmetry breaking of domain wall fermions with a finite extent in the fifth dimension impacts these measurements. Using the Ward-Takahashi identities, we investigate residual chiral symmetry breaking effects for divergent quantities and study pathologies of the quenched approximation for small quark mass. We then discuss the $\Delta S=1$ operator $O_2$, where chiral symmetry is vital for the subtraction of unphysical effects.

4 pages, 3 figures, Lattice 2000 (Hadronic Matrix Elements), RBC Collaboration, corrected equations 2 and 7

Cited by in corpus (4)

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• Calculation of Non-Leptonic Kaon Decay Amplitudes from $K\to \pi$ Matrix Elements in Quenched Domain-Wall QCD
• Matrix elements relevant for Delta I=1/2 rule and epsilon-prime from Lattice QCD with staggered fermions
• Perturbative Matching of the staggered four-fermion operators for e'/e