Measurement of the CKM angle $\gamma$ with $B^{\pm }\to D[K^{\mp }{\pi }^{\pm }{\pi }^{\pm }{\pi }^{\mp }]h^{\pm }$ decays using a binned phase-space approach

The CKM angle $\gamma$ is determined from $C\text{\hspace{0.17em}⁣}P$-violating observables measured in $B^{\pm }\to D[K^{\mp }{\pi }^{\pm }{\pi }^{\pm }{\pi }^{\mp }]h^{\pm }$, $(h=K,\pi )$ decays, where the measurements are performed in bins of the decay phase-space of the $D$ meson. Using proton-proton collision data collected by the LHCb experiment at centre-of-mass energies of $7,8$ and $13\text{TeV}$, corresponding to a total integrated luminosity of $9{\text{fb}}^{-1}$, $\gamma$ is determined to be \begin{equation*} γ= \left( 54.8 : ^{+:6.0 }{-:5.8} : ^{+:0.6}{-:0.6} : ^{+:6.7}_{-:4.3} \right)^\circ, \end{equation*} where the first uncertainty is statistical, the second systematic and the third from the external inputs on the coherence factors and strong phases of the $D$-meson decays.