$K\toππ$ Decays with Domain Wall Fermions: Lattice Matrix Elements

Details $K\toππ$ Decays with Domain Wall Fermions: Lattice Matrix Elements $K\toππ$ Decays with Domain Wall Fermions: Lattice Matrix Elements

2000-11-07

arxiv.org/abs/hep-lat/0011042v1

Nucl.Phys.Proc.Suppl. 94 (2001) 291-294

Physics

High Energy Physics

High Energy Physics - Lattice

Parallel talk contribution to Lattice 2000 proceedings (weak matrix elements

Scientific paper

10.1016/S0920-5632(01)00937-9

We present a lattice calculation of the $K\to\pi$ and $K\to 0$ matrix elements of the $\Delta S=1$ effective weak Hamiltonian which can be used to determine $\epsilon^\prime/\epsilon$ and the $\Delta I=1/2$ rule for $K$ decays in the Standard Model. The matrix elements for $K\to\pi\pi$ decays are related to $K\to\pi$ and $K\to 0$ using lowest order chiral perturbation theory. We also present results for the kaon $B$ parameter, $B_K$. Our quenched domain wall fermion simulation was done at $\beta=6.0$ ($a^{-1}\approx 2$ GeV), lattice size $16^3\times 32\times 16$, and domain wall height $M_5=1.8$.

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