Rare B decays at the Tevatron

Studying flavor changing neutral current transitions provides important information that helps searches for physics beyond the standard model. In this paper we report on recent measurements of these transitions using data collected by the CDF and D0 experiments at the Tevatron $p\bar{p}$ collider, including world-leading limits on the branching fraction of the decay $B_{(s)}^0\to {\mu }^{+}{\mu }^{-}$, a forward-backward asymmetry measurement in $B^0 \to K^{*0} \mu^+ \mu^-$and$B^+ \to K^+ \mu^+ \mu^-$ decays which is consistent and competitive with best $B$-factories results, and the first observation of the decay $B_s^0\to \varphi {\mu }^{+}{\mu }^{-}$.