Observation of $B \to ϕϕK$ Decays

We report the observation of the decay $B^{\pm} \to ϕϕK^{\pm}$ and find evidence for $B^{0} \to ϕϕK^{0}$. These results are based on a 414 fb$^{-1}$ data sample that contains $449 \times 10^6$ $B\bar{B}$ pairs, collected with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ (3.5 on 8 GeV) collider operating at the $Υ(4S)$ resonance. This is the first observation of a $b \to s \bar{s} s \bar{s} s$ transition. The branching fractions for these decay modes are measured to be $\mathcal{B}(B^{\pm} \to ϕϕK^{\pm}) = (3.2^{+0.6}_{-0.5} \pm 0.3) \times 10^{-6}$ and $\mathcal{B}(B^{0} \to ϕϕK^{0}) = (2.3^{+1.0}_{-0.7} \pm 0.2) \times 10^{-6}$ for $ϕϕ$ invariant mass below 2.85 GeV/$c^2$. The corresponding partial rate asymmetry for the charged $B$ mode is measured to be $\mathcal{A}_{CP}(B^\pm\to ϕϕK^\pm) = 0.01^{+ 0.19}_{-0.16}\pm 0.02$. Results for other related charmonium decay modes are also reported. We also search for CP asymmetry using the $ϕϕ$ candidates within the $η_c$ mass region. The value obtained is $\mathcal{A}_{CP}(B^\pm \to ϕϕK^\pm, M_{ϕϕ} \approx M_{η_c})= 0.15^{+0.16}_{-0.17} \pm 0.02$, which is consistent with no asymmetry.

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