Search for the rare decays B(+) -> mu(+)mu(-)K(+), B(0) -> mu(+)mu(-) K*(892)(0), and B(s)(0) -> mu(+)mu(-)phi at CDF RID G-1087-2011 RID E-4473-2011

We search for b --> s mu(+)mu(-) transitions in B meson (B(+), B(0), or B(s)(0)) decays with 924 pb(-1) of p (p) over bar collisions at root s = 1.96 TeV collected with the CDF II detector at the Fermilab Tevatron. We find excesses with significances of 4.5, 2.9, and 2.4 standard deviations in the B(+) --> mu(+)mu(-)K(+), B(0) --> mu(+)mu(-) K*(892)(0), and B(s)(0) --> mu(+)mu(-)phi decay modes, respectively. Using B --> J/psi h (h = K(+), K*(892)(0), phi) decays as normalization channels, we report branching fractions for the previously observed B(+) and B(0) decays, B(B(+) --> mu(+)mu(-)K(+)) = (0.59 +/- 0.15 +/- 0.04) x 10(-6), and B(B(0) --> mu(+)mu(-)K*(892)(0)) = (0.81 +/- 0.30 +/- 0.10) x 10(-6), where the first uncertainty is statistical, and the second is systematic. We set an upper limit on the relative branching fraction B(B(s)(0) --> mu(+)mu(-)phi)/B(B(s)(0) --> J/psi phi) < 2.6(2.3) x 10(-3) at the 95(90)% confidence level, which is the most stringent to date.