Measurement of $C\text{\hspace{0.17em}⁣}P$ observables in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm }\to D{\pi }^{\pm }$ with two- and four-body $D$ decays

Measurements of $C\text{\hspace{0.17em}⁣}P$ observables in $B^{\pm }\to D{K}^{\pm }$ and $B^\pm \rightarrow D \pi^\pm$decaysarepresentedwherethe$D$ meson is reconstructed in the final states $K^{\pm }{\pi }^{\mp }$, ${\pi }^{\pm }{K}^{\mp }$, $K^{+}{K}^{-}$, ${\pi }^{+}{\pi }^{-}$, $K^{\pm }{\pi }^{\mp }{\pi }^{+}{\pi }^{-}$, ${\pi }^{\pm }{K}^{\mp }{\pi }^{+}{\pi }^{-}$ and ${\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$. This analysis uses a sample of charged $B$ mesons from $pp$ collisions collected by the LHCb experiment in 2011 and 2012, corresponding to an integrated luminosity of 3.0 fb${}^{-1}$. Various \CP-violating effects are reported and together these measurements provide important input for the determination of the unitarity triangle angle $\gamma$. The analysis of the four-pion $D$ decay mode is the first of its kind.