The flavour-changing b?s?+?? transitions (?=e,?) are powerful probes of the Standard Model, for which recent LHCb data exhibit an interesting pattern of deviations. I will recall the current situation for the angular distribution of the B?K*(?K?)?+?? decay, as well as for other outstanding b?s?+?? transitions. I will discuss the theoretical approaches used to determine the Standard Model predictions for these observables and some of their shortcomings. I will show how a global fit of b?s?+?? observables favours New Physics scenarios consistently with a high significance, and I will present a few specific models following these scenarios. I will also discuss a few alternative explanations proposed in the literature, before giving some short-term perspectives for these decays.