Calculation of $K\toππ$ decay amplitudes from $K\toπ$ matrix elements in quenched domain-wall QCD

Details Calculation of $K\toππ$ decay amplitudes from $K\toπ$ matrix elements in quenched domain-wall QCD Calculation of $K\toππ$ decay amplitudes from $K\toπ$ matrix elements in quenched domain-wall QCD

2001-10-16

arxiv.org/abs/hep-lat/0110142v1

Nucl.Phys.Proc.Suppl. 106 (2002) 332-334

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(hadronic matrix elements), 3pages, 6 eps figures

Scientific paper

We present a calculation of the $K\to\pi\pi$ decay amplitudes from the $K\to\pi$ matrix elements using leading order relations derived in chiral perturbation theory. Numerical simulations are carried out in quenched QCD with the domain-wall fermion action and the renormalization group improved gluon action. Our results show that the I=2 amplitude is reasonably consistent with experiment whereas the I=0 amplitude is sizably smaller. Consequently the $\Delta I=1/2$ enhancement is only half of the experimental value, and $\epsilon'/\epsilon$ is negative.

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