Taegil Bae, Yong-Chull Jang, Hwancheol Jeong, Chulwoo Jung, Hyung-Jin Kim, Jangho Kim, Jongjeong Kim, Kwangwoo Kim, Seonghee Kim, Weonjong Lee, Jaehoon Leem, Stephen R. Sharpe, Boram Yoon, the SWME Collaboration
We report on recent progress in the calculation of $B_K$ using HYP-smeared improved staggered fermions on the MILC asqtad lattices. We have added measurements on fine ($a\sim 0.09 $fm) and superfine ($a\sim 0.06 $fm) ensembles at different values of the light sea quark mass ($a m_\ell$), as well as increased the statistics on some other ensembles. We find that the results on the fine lattices show a significantly stronger $am_\ell$ dependence than those on the superfine and coarse ($a\sim 0.12 $fm) lattices. We discuss different methods for accounting for these new results when doing the $a m_\ell$ and continuum extrapolations.
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http://arxiv.org/abs/1211.1545
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