Finite Volume Errors in B_K

Jangho Kim, Hyung-Jin Kim, Weonjong Lee, Chulwoo Jung, Stephen R. Sharpe
Lattice Gauge Theory Research Center, CTP, and FPRD, Department of Physics and Astronomy, Seoul National University, Seoul, 151-747, South Korea
arXiv:1111.0128v1 [hep-lat] (1 Nov 2011)


   author={Kim}, J. and {Kim}, H.-J. and {Lee}, W. and {Jung}, C. and {Sharpe}, S.~R.},

   title={"{Finite Volume Errors in $B_K$}"},

   journal={ArXiv e-prints},




   keywords={High Energy Physics – Lattice},




   adsnote={Provided by the SAO/NASA Astrophysics Data System}


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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.
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