Simultaneous determination of the CKM angle $\gamma$ and parameters related to mixing and CP violation in the charm sector

A combination of measurements sensitive to the $C\!P$ violation angle $\gamma$ of the Cabibbo--Kobayashi--Maskawa unitarity triangle, to the charm mixing parameters that describe oscillations between $D^0$ and $\bar{D}^0$ mesons, and to $C\!P$ asymmetries in the $D^0 \to K^+ K^-$ and $D^0 \to \pi^+ \pi^-$ decays is performed. All relevant beauty and charm results obtained with the data collected with the LHCb detector at CERN's Large Hadron Collider to date are included. The charm mixing parameters are determined to be $x = (0.398^{\,+0.050}_{\,-0.049})\%$ and $y = (0.636^{\,+0.020}_{\,-0.019})\%$, the magnitude and phase of $C\!P$ violation in charm mixing to be $|q/p| = (0.995^{\,+0.015}_{\,-0.016})$ and $\phi = (2.5 \pm 1.2)^\circ$, and the $C\!P$ asymmetries in decay to be $a^{\text{d}}_{K^+K^-} = (9.0 \pm 5.7) \times 10^{-4}$ and $a^{\text{d}}_{\pi^+\pi^-} = (24.0 \pm 6.2) \times 10^{-4}$, with a correlation of $\rho=0.88$. The angle $\gamma$ is found to be $(63.8^{\,+3.5}_{\,-3.7})^\circ$ and is the most precise determination from a single experiment.