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 D⁰ 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)°.