Recent measurements in the B-meson system have hinted towards the possibility of new physics that violates lepton universality. Such deviations from the Standard Model have been observed in the neutral-current processes B -> K(*) l+ l- as well as in the charged current mediated decays B -> D(*) tau nu. In this talk, the speaker will review the current status of the Standard Model predictions for these processes. He will then present the available data on these transitions, with particular emphasis on those measurements which depart from the Standard Model.
In the second part, the speaker will review the class of models proposed in the literature to address these anomalies and also describe the main results obtained from model independent analyses using effective theory. Finally, he will explore in this context particular new physics scenarios, including models with vector-like quarks, family non-universal Z' models and extended scalar sectors.