What did we learn in theory from the $\Delta A_{CP}$-saga?

Abstract

The measurement of CP violation in the charm sector triggered a lot of theoretical activities and re-considerations. Nevertheless currently neither theory nor experiment have reached definite conclusions about the origin of a large CP violating effect in hadronic $D$ decays. We review briefly (part of) the current theory literature and present as the most important outcome of the many investigations initial steps in a long journey to understand the standard model contribution to hadronic $D$ meson decays from first principles as well as various control channels, that can be studied by experiment.