Towards new frontiers in CP violation in B decays

CP-violating effects in decays of B mesons offer a wide spectrum of probes for testing the phase structure of the quark-flavour sector of the Standard Model. After a brief discussion of the picture emerging from the current LHC data, the focus will be put on two specific topics: hadronic uncertainties from penguin topologies on measurements of the B⁰_q- B-bar ⁰_q mixing phases (q element of {d,s}), and the U-spin-related decays B⁰_s → K⁺K⁻ and B⁰_d → π⁺π⁻. Valuable new insights are expected from future studies of CP violation in B decays. For the detection of possible new sources of CP violation, it will be crucial to match the experimental and theoretical precisions and to have a careful look at the underlying assumptions