$B_K$ from improved staggered fermions using SU(3) chiral perturbation   theory
  We present recent progress in our calculation of $B_K$ with improved staggered fermions using chiral extrapolations based on SU(3) staggered chiral perturbation theory. We have accumulated significantly higher statistics on the coarse, fine, and ultrafine MILC asqtad lattices. This leads to a reduction in statistical error and an improved continuum extrapolation. Our updated result is $\hat{B}_K = B_K(\text{RGI}) = 0.737 \pm 0.003(\text{stat}) \pm 0.046 (\text{sys})$. This is consistent with the result obtained using chiral extrapolations based on SU(2) staggered chiral perturbation theory, although the total error is somewhat larger with the SU(3) analysis. 
Kwangwoo Kim, Yong-Chull Jang, Hyung-Jin Kim, Jangho Kim, Boram Yoon,   Weonjong Lee, Taegil Bae, Chulwoo Jung, Jongjeong Ki...
hep-lat