On hadronic uncertainties polluting the New Physics hunt in $b \rightarrow s$ transitions

We review the hadronic uncertainties involved in the decay $B \rightarrow K^* \ell^+ \ell^-$, arguing that the non-factorizable hadronic contribution might account for some of the anomalies observed in $b \rightarrow s$ transitions, namely the ones relating to the $P^′_5$ observable. Moreover, we explore how alternative Beyond Standard Model interpretations of the anomalies pattern, e.g. involving New Physics effects in axial operators, become viable with a more conservative approach on the treatment of non-factorizable contributions.