A study of $CP$ violation in $B^{\mp }\to D{h}^{\mp }$ ($h=K,\pi$) with the modes $D\to K^{\mp }{\pi }^{\pm }{\pi }^0$, $D\to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $D\to K^{+}{K}^{-}{\pi }^0$

Abstract

An analysis of the decays of $B^{\mp }\to D{K}^{\mp }$ and $B^{\mp }\to D{\pi }^{\mp }$ is presented in which the $D$ meson is reconstructed in the three-body final states $K^{\mp }{\pi }^{\pm }{\pi }^0$, ${\pi }^{+}{\pi }^{-}{\pi }^0$ and $K^{+}{K}^{-}{\pi }^0$. Using data from LHCb corresponding to an integrated luminosity of 3.0 fb${}^{-1}$ of $pp$ collisions, measurements of several $CP$ observables are performed. First observations are obtained of the suppressed ADS decay $B^{\mp }\to [{\pi }^{\mp }{K}^{\pm }{\pi }^0{]}_D{\pi }^{\mp }$ and the quasi-GLW decay $B^{\mp }\to [K^{+}{K}^{-}{\pi }^0{]}_D{\pi }^{\mp }$. The results are interpreted in the context of the unitarity triangle angle $\gamma$ and related parameters.

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