Flavour changing neutral currents are suppressed in the Standard Model, making them a prime avenue to search for new physics. Over the past decade a consistent set of discrepancies between experimental measurements and theoretical expectations in $b \to s \mu \mu$ decays has emerged. The flagship $b \to s \mu \mu$ mode is the decay $B^0 \to K^* \mu \mu$, where discrepancies have been observed in angular observables, such as $P_5'$ and in the differential branching fraction.
In this seminar, a new comprehensive analysis of the $B^0 \to K^* \mu \mu$ decay will be presented, made with 8.4fb${}^{-1}$ of LHCb pp collision data collected in 2011-2012 and 2016-2018. A panoply of analysis innovations will be presented, giving the most outstanding physics reach yet for analyses of this decay mode. Furthermore I will present a new and complementary search from LHCb for $b \to s \tau \tau$ decays, that portends a comprehensive programme of such measurements at the LHC.