Final result

The ratio of branching ratios is:

$$\frac{ B\!R(B^{\pm} \rightarrow \phi K^{\pm})}{B\!R(B^{\pm} \rightarrow J/\psi K^{\pm})} = \frac{N_{KKK}}{N_{\mu\mu K}} \; \frac{B\!R(J/\psi\to\mu\mu)}{B\!R... ...K}}{\varepsilon_{KKK}} \; \langle\varepsilon_\mu\rangle \;\varepsilon_{R_{iso}}$$ (1)

$$= 0.0076 \pm 0.0013\:(stat.) \pm 0.0006\:(syst.) ,$$

Using the PDG value $B\!R(B^{\pm} \rightarrow J/\psi K^{\pm})=(1.00\pm 0.04)\times 10^{-3}$, we derive:

$$B\!R(B^{\pm} \rightarrow \phi K^{\pm}) = \left(7.6 \pm 1.3\:(stat.) \pm 0.6\:(syst.) \right) \times 10^{-6} .$$ (2)

The value of the charge asymmetry is:

$$A_{C\!P}= \frac{\Gamma(B^-\to\phi K^-)-\Gamma(B^+\to\phi K^+)} {\... ...)+\Gamma(B^+\to\phi K^+)} = -0.07 \pm 0.17 (stat.)\:^{+0.03}_{-0.02}(syst.) .$$ (3)

Figure: Comparison of the CDF result with the values of $B\!R(B^{\pm} \rightarrow J/\psi K^{\pm})$ (left) and $A_{C\!P}$ (right) measured at BaBar [Phys. Rev. D 69, 011102(R) (2004)], Belle [Phys. Rev. Lett. 91, 201801 (2003)], and CLEO [Phys. Rev. Lett 86, 3718 (2001)]. The PDG average has been superimposed.