Finite volume effects in $B_K$ with improved staggered fermions

Details Finite volume effects in $B_K$ with improved staggered fermions Finite volume effects in $B_K$ with improved staggered fermions

2011-01-13

arxiv.org/abs/1101.2685v3

Phys.Rev.D83:117501,2011

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 6 figures, references updated

Scientific paper

10.1103/PhysRevD.83.117501

We extend our recent unquenched ($N_f=2+1$ flavor) calculation of $B_K$ using improved staggered fermions by including in the fits the finite volume shift predicted by one-loop staggered chiral perturbation theory. The net result is to lower the result in the continuum limit by 0.6%. This shift is slightly smaller than our previous estimate of finite volume effects based on a direct comparison between different volumes. To include the finite volume effects in a reasonable time, we found it necessary to calculate them using Graphics Processing Units.

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