%0 Journal Article %T Finite Volume Errors in $B_K$ %A Jangho Kim %A Hyung-Jin Kim %A Weonjong Lee %A Chulwoo Jung %A Stephen R. Sharpe %J Physics %D 2011 %I arXiv %X We discuss finite volume errors in our calculations of $B_K$ using improved staggered fermions on the MILC asqtad lattices. Using GPUs, we are now able to extrapolate using next-to-leading order (NLO) staggered SU(2) chiral perturbation theory including the finite volume corrections arising from pion loops. We find that the impact of FV fitting is very small, giving a 0.5% shift in the continuum limit. %U http://arxiv.org/abs/1111.0128v1