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arxiv: hep-lat/9711053 · v2 · submitted 1997-11-27 · ✦ hep-lat · hep-ph

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Lattice B-parameters for Delta S = 2 and Delta I = 3/2 Operators

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classification ✦ hep-lat hep-ph
keywords operatorsrenormalizationb-parametersbeendeltaepsilonlatticeaction
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We compute several matrix elements of dimension-six four-fermion operators and extract their B-parameters. The calculations have been performed with the tree-level Clover action at $\beta = 6.0$. The renormalization constants and mixing coefficients of the lattice operators have been obtained non-perturbatively. In the $\MSbar$ renormalization scheme, at a renormalization scale $\mu \simeq 2$ GeV, we find $B_K (B_9^{3/2}) = 0.66(11), B_7^{3/2} = 0.72(5)$ and $B_8^{3/2} = 1.03(3)$. The result for $B_8^{3/2}$ has important implications for the calculation of $\epsilon^\prime / \epsilon$.

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