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Neutral kaon mixing from 2+1 flavor Domain Wall QCD

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arxiv hep-ph/0702042 v4 pith:GOZTAOCN submitted 2007-02-05 hep-ph hep-lat

D. J. Antonio , P. A. Boyle , T. Blum , N. H. Christ , S. D. Cohen , C. Dawson , T. Izubuchi , R. D. Kenway
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C. Jung S. Li M. F. Lin R. D. Mawhinney J. Noaki S. Ohta B. J. Pendleton E. E. Scholz A. Soni R. J. Tweedie A. Yamaguchi (RBC UKQCD Collaborations)
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classification hep-phhep-lat
keywords kaonassumeddomainfirstmassesmixingneutralwall
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the first results for neutral kaon mixing using 2+1 flavors of domain wall fermions. A new approach is used to extrapolate to the physical up and down quark masses from our numerical studies with pion masses in the range 240 -- 420 MeV; only $SU(2)_L \times SU(2)_R$ chiral symmetry is assumed and the kaon is not assumed to be light. Our main result is $B_K^{\bar{\rm MS}}(2 \mathrm{GeV}) = 0.524(10)(28)$ where the first error is statistical and the second incorporates estimates for all systematic errors.

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