The Kaon B-parameter with the Wilson Quark Action using Chiral Ward Identities

Abstract

We present a detailed description of the method and results of our calculation of the kaon B parameter using the Wilson quark action in quenched QCD at β=5.9-6.5. The mixing problem of the s=2 four-quark operators is solved non-perturbatively with full use of chiral Ward identities. We find BK(NDR, 2 GeV)=0.562(64) in the continuum limit, which agrees with the value obtained with the Kogut-Susskind quark action.

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