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 3.0~fb−1 of pp collisions, measurements of several CP observables are performed. First observations are obtained of the suppressed ADS decay B∓→[π∓K±π0]Dπ∓ and the quasi-GLW decay B∓→[K+K−π0]Dπ∓. The results are interpreted in the context of the unitarity triangle angle γ and related parameters.