Illustration of the $q^2$ spectrum in $B^0\rightarrow K^{*0}\mu ^+\mu ^- $ decays. The dashed line corresponds to the pure rare semileptonic decay, while the solid line includes the impact of different charmonium resonances. The gray bands correspond to the regions dominated by $B^0\rightarrow { J \mskip -3mu/\mskip -2mu\psi } K^{*0}$ and $B^0\rightarrow \psi {(2S)} K^{*0}$ tree-level decays. Magnitudes and phases of $c\bar{c}$ resonant components have been arbitrarily chosen for illustrative purposes. The dominant Wilson coefficients in each region of the spectrum are also highlighted for reference.

Two-dimensional profile-likelihood contours of the (left) $\mathcal{C}_9^{\mathrm{BSM}}$--$\mathcal{C}_{10}^{\mathrm{BSM}}$ and (right) $\mathcal{C}_9^{\prime \mathrm{BSM}}$--$\mathcal{C}_{10}^{\prime \mathrm{BSM}}$ pairs of Wilson coefficients at $68\%$ confidence level with (blue) and without (red) SM constraints at $q^{2}<0$. The fit is also repeated considering local FFs to be fixed to their SM predictions (grey) [16,25,31].

Determination of the (top) $P^{\prime}_{5}$ and (bottom) $S_7$ angular observables obtained from the amplitude fit. Results are shown for fits with (blue) and without (red) constraints from $q^{2} < 0$, at 68% confidence level. The LHCb binned angular analysis [10] (black dots) and SM predictions from DHMV [33,68] (green) and GRvDV [16,25,31] (yellow) are overlaid for reference. The center panel shows the non-local contributions to $P^{\prime}_{5}$ determined from the amplitude fit. Here the difference between the LHCb binned angular analysis [10] and SM central value from DHMV is overlaid for reference (black dots), together with the uncertainty on the DHMV SM prediction (green) and difference between the SM predictions from GRvDV and DHMV (yellow). Theoretical predictions are shown only for $q^2 < 8\text{ Ge V} ^2 /c^4 $.

Non-local contributions to the angular observables (P-basis) obtained from data fits with (blue) and without (red) constraints from $q^{2} < 0$. The shaded regions are shown at 68% confidence level. When available, the difference between the LHCb binned angular analysis [10] and SM central-value from Refs. [33,68] is overlaid for reference (black dots), together with the uncertainty on the SM prediction (green).

Non-local contributions to the angular observables (S-basis) obtained from data fits with (blue) and without (red) constraints from $q^{2} < 0$. The shaded regions are shown at 68% confidence level. When available, the difference between the LHCb binned angular analysis [10] and SM central-value from Refs. [23,70] is overlaid for reference (black dots), together with the uncertainty on the SM prediction (green) and difference between the SM predictions from Refs. [16,25,31] with respect to Refs. [23,70] (yellow).

Animated gif made out of all figures.