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Using analytic results obtained in a meson effective theory, that includesall infrared sensitive logs, we build a dedicated Monte Carlo framework todescribe QED corrections in $\bar B \to \bar K \ell^+\ell^-$ for a generic formfactor. For the neutral mode $\bar B^0 \to \bar K^0 \ell^+\ell^-$, we perform adetailed numerical comparison versus those obtained with the general-purposephoton-shower tool PHOTOS. The comparison indicates a good agreement, at thefew per-mil level, when focusing on the rare mode only. In addition, ourframework allows us to investigate the impact of the charmonium resonances.Interference effects, not described by PHOTOS in the experimental analysis, arefound to be small in the dilepton invariant mass region $q^2 < 6\textrm{GeV}^2$, which is used to determine $R_{K^{(*)}}$. Using asemi-analytic framework we assess the full, rare and resonant, mode. Basedthereupon, we discuss strategies to check the subtraction of the resonant mode,which has a sizeable impact at $q^2 \approx 6 \textrm{GeV}^2$ in the electronmode.

QED in $\bar B \to \bar K \ell^+\ell^-$ LFU ratios: Theory versus Experiment, a Monte Carlo Study