Measurements of the branching fraction ratio $\cal{B}(ϕ\to μ^+μ^-)/\cal{B}(ϕ\to e^+e^-)$ with charm meson decays
Measurements of the branching fraction ratio ${\cal{B}(ϕ\to μ^+ μ^-)/\cal{B}(ϕ\to e^+e^-)}$ with ${D_{s}^{+} \to π^{+} ϕ}$ and ${D^{+} \to π^{+} ϕ}$ decays, denoted $R^{s}_{ϕπ}$ and $R^{d}_{ϕπ}$, are presented. The analysis is performed using a dataset corresponding to an integrated luminosity of 5.4$\,\rm{fb}^{-1}$ of $pp$ collision data collected with the LHCb experiment. The branching fractions are normalised with respect to the ${B^{+} \to K^{+} J/ψ(\to e^+e^-)}$ and ${B^{+} \to K^{+} J/ψ(\to μ^+μ^-)}$ decay modes. The combination of the results yields $$ R_{ϕπ} = 1.022 \pm 0.012 \,({\rm stat}) \, \pm 0.048 \,({\rm syst}). $$ The result is compatible with previous measurements of the $ϕ\to \ell^{+}\ell^{-}$ branching fractions and predictions based on the Standard Model.