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Non-perturbative Renormalization of the Complete Basis of Four-fermion Operators and B-parameters

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arxiv hep-lat/9710023 v1 pith:PEPDV7OE submitted 1997-10-04 hep-lat

Non-perturbative Renormalization of the Complete Basis of Four-fermion Operators and B-parameters

classification hep-lat
keywords b-parametersactionbasiscompletefour-fermionoperatorsrenormalizationresults
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present results on the B-parameters $B_K$, $B^{3/2}_7$ and $B^{3/2}_8$, at $\beta=6.0$, with the tree-level Clover action. The renormalization of the complete basis of dimension-six four-fermion operators has been performed non-perturbatively. Our results for $B_K$ and $B^{3/2}_7$ are in reasonable agreement with those obtained with the (unimproved) Wilson action. This is not the case for $B^{3/2}_8$. We also discuss some subtleties arising from a recently proposed modified definition of the B-parameters.

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