Search for non-standard model physics in rare decays at CDF

We present two recent results obtained by the CDF collaboration at the Tevatron collider. We first describe the first polarization measurement in a charmless B-s(0) decay in two light vector mesons, B-s(0) ->phi phi, using 2.9 fb(-1)of data. An angular analysis of the final state decay products allows CDF to determine a longitudinal polarization fraction fL = 0.348 +/- 0.041(stat.)+/- 0.021(syst.), which is inconsistent with naive expectations based on the V-A nature of weak currents and confirms the pattern of lower than expected longitudinal polarization fraction in b -> s penguin dominated B -> VV decays. We then report on the first observation of the electroweak penguin decay B-s(0) ->phi mu+ mu(-) and on the measurement of the differential decay rate, longitudinal polarization fraction and forward-backward asymmetry in B-0 -> K*(0)mu+mu(-) decays using 4.4 fb(-1) of data.