Assessing lepton-flavour non-universality from $B\to K^*\ell\ell$ angular analyses

The $B\to K^*\mu\mu$ decay exhibits deviations with respect to Standard Model expectations and the measurement of the ratio $R_K$ hints at a violation of lepton-flavour universality in $B\to K\ell\ell$ transitions. Both effects can be understood in model-independent fits as a short-distance contribution to the Wilson coefficient $C_{9\mu}$, with some room for similar contributions in other Wilson coefficients for $b\to s\mu\mu$ transitions. We discuss how a full angular analysis of $B\to K^*ee$ and its comparison with $B\to K^*\mu\mu$ could improve our understanding of these anomalies and help confirming their interpretation in terms of short-distance New Physics. We discuss several observables of interest in this context and provide predictions for them within the Standard Model as well as within several New Physics benchmark scenarios. We pay special attention to the sensitivity of these observables to hadronic uncertainties from SM contributions with charm loops.