Study of CP violation in B^∓ → Dh^∓ (h = K,π) with the modes D → K^∓π^±π⁰, D → π⁺π^-π⁰ and D → K⁺K^-π⁰

An analysis of the decays of B ∓ → DK ∓ and B ∓ → Dπ ∓ is presented in which the D meson is reconstructed in the three-body final states K ∓ π ± π 0 , π + π - π 0 and K + K - π 0 . Using data from LHCb corresponding to an integrated luminosity of 3.0fb -1 of pp collisions, measurements of several CP observables are performed. First observations are obtained of the suppressed Atwood-Dunietz-Soni decay B ∓ → [π ∓ K ± π 0 ] D π ∓ and the quasi-Gronau-London-Wyler decay B ∓ → [K + K - π 0 ] D π ∓ . The results are interpreted in the context of the unitarity triangle angle γ and related parameters.