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±π0, π+π-π0 and K+K-π0. 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± π0]Dπ∓ and the quasi-Gronau-London-Wyler decay B∓ → [K+ K- π0]Dπ∓. The results are interpreted in the context of the unitarity triangle angle γ and related parameters.