Calculating the $K_L-K_S$ mass difference and ${\epsilon }_K$ to sub-percent accuracy

Norman Christ, Taku Izubuchi, Christopher T. Sachrajda +2

The real and imaginary parts of the $K_L-K_S$ mixing matrix receive contributions from all three charge-2/3 quarks: up, charm and top. These give both short- and long-distance cont…