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Abstract A method for analysing the hadronic resonance contributions in $$\overline{B}{} ^0 \!\rightarrow \overline{K}{} ^{*0} \mu ^+ \mu ^- $$ B¯0→K¯∗0μ+μ- decays is presented. This method uses an empirical model that relies on measurements of the branching fractions and polarisation amplitudes of final states involving $$J^{PC}=1^{--}$$ JPC=1-- resonances, relative to the short-distance component, across the full dimuon mass spectrum of $$\overline{B}{} ^0 \!\rightarrow \overline{K}{} ^{*0} \mu ^+ \mu ^- $$ B¯0→K¯∗0μ+μ- transitions. The model is in good agreement with existing calculations of hadronic non-local effects. The effect of this contribution to the angular observables is presented and it is demonstrated how the narrow resonances in the $$q^2 $$ q2 spectrum provide a dramatic enhancement to $$C\!P$$ CP -violating effects in the short-distance amplitude. Finally, a study of the hadronic resonance effects on lepton universality ratios, $$R_{K^{(*)}}$$ RK(∗) , in the presence of new physics is presented.