Im$A_0$, Im$A_2$, and $ε^\prime$ from quenched lattice QCD

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Three pages, latex, includes four eps figures. Contribution to the proceedings of the XIXth International Symposium on Lattice

Scientific paper

10.1016/S0920-5632(01)01700-5

We present results for the imaginary parts of the I=0 and 2 $K\to\pi\pi$ decay amplitudes, Im$A_{0,2}$, and the ratio of CP violation parameters, $\epsilon^\prime/\epsilon$. Our calculation is done in the quenched approximation at $a^{-1}\approx 2$ GeV, lattice size $16^3\times 32$, using domain wall fermions with $L_s=16$. We study the three flavor case (charm is not an active flavor) and find $\epsilon^\prime/\epsilon$ is small and slightly negative.

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