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

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

2000-10-17

arxiv.org/abs/hep-lat/0010030v2

Nucl.Phys.Proc.Suppl. 94 (2001) 315-318

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/S0920-5632(01)00949-5

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.

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