Standard Model Prediction for Direct CP Violation in K→ππ Decay

Author(s): Z. Bai, T. Blum, P. A. Boyle, N. H. Christ, J. Frison, N. Garron, T. Izubuchi, C. Jung, C. Kelly, C. Lehner, R. D. Mawhinney, C. T. Sachrajda, A. Soni, and D. Zhang (RBC and UKQCD Collaborations)

We report the first lattice QCD calculation of the complex kaon decay amplitude $A_0$ with physical kinematics, using a ${32}^3\times 64$ lattice volume and a single lattice spacing $a$, with $1/a=1.3784(68)\mathrm{GeV}$. We find $\mathrm{Re}(A_0)=4.66(1.00)(1.26)\times 10^{-7}\mathrm{GeV}$ and $\mathrm{Im}(A_0)=-1.90(1.23)(1.08)\times 10^{-11}\mathrm{GeV}$, where the first erro…

[Phys. Rev. Lett. 115, 212001] Published Tue Nov 17, 2015