Erratum: Standard-model prediction for direct CP violation in   $K\to\pi\pi$ decay
  In this document we address an error discovered in the ensemble generation for our calculation of the $I=0$ $K\to\pi\pi$ amplitude (Phys. Rev. Lett. 115, 212001 (2015), arXiv:1505.07863) whereby the same random numbers were used for the two independent quark flavors, resulting in small but measurable correlations between gauge observables separated by 12 units in the y-direction. We conclude that the effects of this error are negligible compared to the overall errors on our calculation. 
Z. Bai, T. Blum, P. A. Boyle, N. H. Christ, J. Frison, N.Garron, T.   Izubuchi, C. Jung, C. Kelly, C. Lehner, R. D. Mawhinne...
hep-lat hep-ph