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The decay-time-dependent $CP$ asymmetry in $B^0 \to D^{*\pm}D^{\mp}$ decaysis measured using a data set corresponding to an integrated luminosity of$9$fb$^{-1}$ recorded by the LHCb detector in proton-proton collisions atcentre-of-mass energies of 7, 8 and 13 TeV. The $CP$ parameters are measured as  $ S_{D^*D} = -0.861 \pm 0.077\,\text{(stat)} \pm 0.019 \,\text{(syst)}\,, $  $ \Delta S_{D^*D} = 0.019 \pm 0.075 \,\text{(stat)} \pm 0.012 \,\text{(syst)}\,, $  $ C_{D^*D} = -0.059 \pm 0.092 \,\text{(stat)} \pm 0.020 \,\text{(syst)} \,, $  $ \Delta C_{D^*D} = -0.031 \pm 0.092 \,\text{(stat)} \pm 0.016\,\text{(syst)} \,, $  $ {\cal A}_{D^*D} = 0.008 \pm 0.014 \,\text{(stat)} \pm 0.006\,\text{(syst)}\,. $  The analysis provides the most precise single measurement of $CP$ violationin this decay channel to date. All parameters are consistent with their currentworld average values.

Measurement of $CP$ violation in $B^0\to D^{*\pm} D^{\mp}$ decays