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

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

1997-10-04

arxiv.org/abs/hep-lat/9710023v1

Nucl.Phys.Proc.Suppl. 63 (1998) 880-882

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at Lattice '97, Edinburgh (UK), July 1997. LaTeX 3 pages, uses espcrc2

Scientific paper

10.1016/S0920-5632(97)00928-6

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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