Lattice B-parameters for $ΔS = 2$ and $ΔI = 3/2$ Operators

Details Lattice B-parameters for $ΔS = 2$ and $ΔI = 3/2$ Operators Lattice B-parameters for $ΔS = 2$ and $ΔI = 3/2$ Operators

1997-11-27

arxiv.org/abs/hep-lat/9711053v2

Phys.Lett. B421 (1998) 273-282

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 14 pages, revised version (sign misprint in eq. (21) corrected)

Scientific paper

10.1016/S0370-2693(98)00019-7

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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