Branching fraction measurement of the decay $B^+ \to ψ(2S) φ(1020) K^+$

The branching fraction of the decay $B^+\to ψ(2S)φ(1020)K^+$, relative to the topologically similar decay $B^+\to J/ψφ(1020) K^+$, is measured using proton-proton collision data collected by the LHCb experiment at center-of-mass energies of 7, 8, and 13 TeV, corresponding to an integrated luminosity of $9\,\mathrm{fb}^{-1}$. The ratio is found to be $0.061 \pm 0.004 \pm 0.009$, where the first uncertainty is statistical and the second systematic. Using the world-average branching fraction for $B^+ \to J/ψφ(1020) K^+$, the branching fraction for the decay $B^+\to ψ(2S) φ(1020) K^+$ is found to be $ (3.0 \pm 0.2 \pm 0.5 \pm 0.2) \times 10^{-6}$, where the first uncertainty is statistical, the second systematic, and the third is due to the branching fraction of the normalization channel.