Measurement of the CKM angle \(\gamma\) with \(B^\pm \to D \left [ K^\mp \pi^\pm \pi^\pm \pi^\mp \right ] h^\pm\)
decays using a binned phase-space approach
The CKM angle \(\gamma\) is determined from \(CP\)-violating observables measured in \(B^\pm \to D \left [
K^\mp \pi^\pm \pi^\pm \pi^\mp \right ] h^\pm\), \((h = K, \pi)\) 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 \(13~\rm{TeV}\), corresponding to a total
integrated luminosity of \(9~\rm{fb}^{-1}\), \(\gamma\) is determined to be
\(\gamma = \left ( \, 54.8^{\, + \, 6.0 \, + \, 0.6 \, + \, 6.7}_{\, - \, 5.8 \, - \, 0.6 \, - \, 4.3}
\, \right )^{\rm{o}}\), 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.