Measurement of the CKM angle γ in B± → DK*(892)± decays

Measurements of CP observables and the CKM angle γ are performed in B ^± → DK ^*(892) ^± decays, where D represents a superposition of D ⁰ and D¯0 states, using the LHCb dataset collected during Run 1 (2011–2012) and Run 2 (2015–2018). A study of this channel is presented with the D meson reconstructed in two-body final states K ^±π ^∓, K ⁺K ⁻ and π ⁺π ⁻; four-body final states K ^±π ^∓π ^±π ^∓ and π ⁺π ⁻π ⁺π ⁻; and three-body final states KS0π+π− and KS0K+K−. This analysis includes the first observation of the suppressed B ^±→ [π ^±K ^∓] _DK ^*± and B ^±→ [π ^±K ^∓π ^±π ^∓] _DK ^*± decays. The combined result gives γ = (63 ± 13)°.