Measurement of the branching fraction for $ψ(3686)\toωK^+ K^-$

With $1.06\times 10^8$ $ψ(3686)$ events collected with the BESIII detector, the branching fraction of $ψ(3686) \to ωK^+ K^-$ is measured to be $(1.54 \pm 0.04 \pm 0.11) \times 10^{-4}$. This is the most precise result to date, due to the largest $ψ(3686)$ sample, improved signal reconstruction efficiency, good simulation of the detector performance, and a more accurate knowledge of the continuum contribution. Using the branching fraction of $J/ψ\to ωK^+ K^-$, the ratio $\mathcal{B}(ψ(3868) \to K^+K^-) / \mathcal{B}(J/ψ\to K^+K^-)$ is determined to be $(18.4 \pm 3.7)\,\%$. This constitutes a significantly improved test of the $12\,\%$ rule, with the uncertainty now dominated by the $J/ψ$ branching fraction.

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