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The Kaon B-parameter from Quenched Domain-Wall QCD

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arxiv hep-lat/0508011 v3 pith:JKJD2R6X submitted 2005-08-15 hep-lat

The Kaon B-parameter from Quenched Domain-Wall QCD

Y. Aoki , T. Blum , N. H. Christ , C. Dawson , T. Izubuchi , R. D. Mawhinney , J. Noaki , S. Ohta
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K. Orginos A. Soni N. Yamada
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classification hep-lat
keywords domain-walllatticequenchedb-parametercombineerrorkaonquarks
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present numerical results for the kaon B-parameter, B_K, determined in the quenched approximation of lattice QCD. Our simulations are performed using domain-wall fermions and the renormalization group improved, DBW2 gauge action which combine to give quarks with good chiral symmetry at finite lattice spacing. Operators are renormalized non-perturbatively using the RI/MOM scheme. We study scaling by performing the simulation on two different lattices with a^{-1} = 1.982(30) and 2.914(54) GeV. We combine this quenched scaling study with an earlier calculation of B_K using two flavors of dynamical, domain-wall quarks at a single lattice spacing to obtain B_K(MS,NDR,mu=2GeV)=0.563(21)(39)(30), were the first error is statistical, the second systematic (without quenching errors) and the third estimates the error due to quenching.

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