Towards NNLO accuracy for \(\varepsilon'/\varepsilon\)

The quantity \(\varepsilon'/\varepsilon\) measures direct CP violation in Kaon decays. Recent SM predictions show a \(2.9\sigma\) tension with data, with the theoretical uncertainty dominating. As rapid progress on the lattice is bringing nonperturbative long-distance effects under control, a more precise knowledge of short-distance contributions is needed. We describe the first NNLO results for \(\varepsilon'/\varepsilon\) and discuss future prospects, as well as issues of scheme dependence and the separation of perturbative and nonperturbative effects. Finally we also comment on the solution of the renormalisation-group evolution in one of the talks at this conference and present the correct solution.