Search for Non-Standard Model Physics in Rare Decays at the Tevatron

In this proceeding we report the most recent results from the CDF and DØ collaborations on the rare decays of b-mesons. The presented results show a new DØ limit for that represent the best single measurement on this mode so far, an update of the with, for the first time, an angular analysis on the final state, a new measurement of the B(B0→K⋆0μ+μ−) and B(B+→K+μ+μ−) with an interesting measurement on the forward-backward asymmetry for those channels and the first observation of the .