Time-dependent CP asymmetries in D and B decays

We examine measurements of time-dependent CP asymmetries that could be made in new and future flavour facilities. In charm decays, where they can provide a unique insight into the flavor changing structure of the Standard Model, we examine a number of decays to CP eigenstates and describe a framework that can be used to interpret the measurements. Such measurements can provide a precise determination of the charm mixing phase, as well as constraints on the Standard Model description of CP violation an possible new physics contributions. We make a preliminary assessment, based on statistical considerations, of the relative capabilities of LHCb with data from pp collisions, with Belle II and Super B using data from Bd, Bs and charm thresholds. We discuss the measurements required to perform direct and indirect tests of the charm unitarity triangle and its relationship with the usual Bd triangle. We find that, while theoretical and experimental systematic uncertainties may limit their interpretation, useful information on the unknown charm mixing phase, and on the possible existence of new physics can be obtained. We point out that, for Bd decays, current experimental bounds on ΔΓBd will translate into a significant systematic uncertainty on future measurements of sin2β from b→ccs decays. The possibilities for simplified Bs decay asymmetry measurements at Super B and Belle II are also reviewed.