$B_s\to {\mu }^{+}{\mu }^{-}$ and $\bar{B}\to X_s\gamma$ to NNLO

In this contribution, the recent calculation of next-to-next-to-leading order QCD and next-to-leading order electroweak corrections to the decay $B_s\to \mu^+\mu^-$ is reviewed, and a detailed discussion of the uncertainty of the theory prediction is provided. Furthermore, we discuss the status of the next-to-next-to-leading order QCD corrections to $\bar{B}\to X_s\gamma$.