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

1998; Elsevier BV; Volume: 421; Issue: 1-4 Linguagem: Inglês

10.1016/s0370-2693(98)00019-7

1873-2445

L. Conti, A. Donini, V. Castillo Gimenez, G. Martinelli, M. Talevi, A. Vladikas,

Holomorphic and Operator Theory

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 $\epsilon^\prime / \epsilon$.