Erratum: Standard-model prediction for direct CP violation in $K\toππ$ decay

In this document we address an error discovered in the ensemble generation for our calculation of the $I=0$ $K\toππ$ 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.

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