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We search for b to s\mu^+\mu^- transitions in B meson (B^+, B^0, or B^0_s)decays with 924pb^{-1} of p pbar collisions at sqrt(s)=1.96 TeV collected withthe CDF II detector at the Fermilab Tevatron. We find excesses withsignificances of 4.5, 2.9, and 2.4 standard deviations in the B^+ to\mu^+\mu^-K^+, B^0 to \mu^+\mu^-K^*(892)^0, and B_s^0 to \mu^+\mu^-\phi decaymodes, respectively. Using B to J/psi h (h = K^+, K^*(892)^0, phi) decays asnormalization channels, we report branching fractions for the previouslyobserved B^+ and B^0 decays, BR(B^+ to \mu^+\mu^-K^+)=(0.59\pm0.15\pm0.04) x10^{-6}, and BR(B^0 to \mu^+\mu^-K^*(892)^0)=(0.81\pm0.30\pm0.10) x 10^{-6},where the first uncertainty is statistical, and the second is systematic. Thesemeasurements are consistent with the world average results, and are competitivewith the best available measurements. We set an upper limit on the relativebranching fraction BR(B_s^0 to \mu^+\mu^-\phi)/BR(B_s^0 to J/\psi\phi)<2.6(2.3)\times10^{-3} at the 95(90)% confidence level, which is the moststringent to date.

Search for the Rare Decays B^+ -> mu^+ mu^- K^+, B^0 -> mu^+ mu^- K^*0(892), and B^0_s -> mu^+ mu^- phi at CDF