After a brief introduction, I review the status and prospects of kaon decay calculations using lattice QCD by the RBC and UKQCD collaborations. The focus is on direct CP violation parameterized by $\epsilon’$. Attention is paid to the sources of error in the calculations and how to reduce them. The total uncertainty for the standard model value is about 2.5 times larger than the experimental...
Making predictions for radiative kaon decays is an arduous theoretical
task. While chiral perturbation theory provides a suitable framework, it is seldom predictive for lack of knowledge about the low-energy constants involved. In this presentation it will be discussed how QCD with a large number of colours can be helpful in improving our qualitative and quantitative understanding of these...