Lattice QCD Calculation of the Kaon B-parameter with the Wilson Quark Action

Abstract

The kaon B parameter is calculated in quenched lattice QCD with the Wilson quark action. The mixing problem of the Δs=2 four-quark operators is solved non-perturbatively with full use of chiral Ward identities, and this method enables us to construct the weak four-quark operators exhibiting good chiral behavior. We find B_K(NDR, 2GeV)=0.562(64) in the continuum limit, which agrees with the value obtained with the Kogut-Susskind quark action.

arXiv comment11 pages, latex source-file, 4 figures as ps-file

References in corpus (8)

• A General Method for Non-Perturbative Renormalization of Lattice Operators
• An Upgraded Analysis of $\epsilon \prime /\epsilon$ at the Next-to-Leading Order
• Matrix Elements of 4-fermion Operators with Quenched Wilson Fermions
• Kaon B parameter from quenched Lattice QCD
• $B_K$ Using Staggered Fermions: An Update
• Chiral behaviour of the lattice $B_K$-parameter with the Wilson and Clover Actions at $\beta =6.0$
• Non-Perturbative Renormalisation of the Lattice $\Delta s=2$ Four-Fermion Operator
• Non-perturbative renormalization in kaon decays

Cited by in corpus (15)

• The QCD Chiral Condensate from the Lattice
• Kaon B parameter from quenched domain-wall QCD
• Calculation of Non-Leptonic Kaon Decay Amplitudes from $K\to \pi$ Matrix Elements in Quenched Domain-Wall QCD
• Kaon B Parameter in Quenched QCD
• The Kaon B-parameter from Quenched Domain-Wall QCD
• Hadronic Weak Interactions of Light Quarks
• The Kaon B-parameter with the Wilson Quark Action using Chiral Ward Identities
• Lattice QCD at the end of 2003
• Remarks on the Gauge Dependence of the RI/MOM Renormalization Procedure
• Non-leptonic kaon decays at large $N_c$
• Precise determination of $B_K$ and light quark masses in quenched domain-wall QCD
• Kaon B parameter from quenched domain-wall QCD
• Non-perturbative renormalization of HQET and QCD
• Light Hadron Weak Matrix Elements
• Perturbative renormalization factors for generic $\Delta s=2$ four-quark operators in domain-wall QCD with improved gauge action