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arxiv: 1111.5698 · v3 · pith:LHNWDFIInew · submitted 2011-11-24 · ✦ hep-lat · hep-ph

Kaon B-parameter from improved staggered fermions in N_f=2+1 QCD

classification ✦ hep-lat hep-ph
keywords staggeredchiralfermionsimprovedkaonlatticeparametertext
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We present a calculation of the kaon $B$-parameter, $B_K$, using lattice QCD. We use improved staggered valence and sea fermions, the latter generated by the MILC collaboration with $N_f=2+1$ light flavors. To control discretization errors, we use four different lattice spacings ranging down to $a\approx 0.045\;$fm. The chiral and continuum extrapolations are done using SU(2) staggered chiral perturbation theory. Our final result is $\hat{B}_K = 0.727 \pm 0.004 (\text{stat}) \pm 0.038 (\text{sys})$, where the dominant systematic error is from our use of truncated (one-loop) matching factors.

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