The LHC flavour anomalies: QCD or New Physics?

Several tensions in exclusive semileptonic B decays have been found at the LHC yielding a global significance of more than 4 sigma. I will discuss the current experimental status and contrast explanations in terms of non-perturbative hadronic effects with solutions via high-scale New Physics. I will further present a selection of New Physics models that have been proposed to solve the anomalies and discuss their phenomenological impact and the consequences for direct searches.