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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\overline{D}}^0 $$\end{document} 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−\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {K}_{\textrm{S}}^0{\pi}^{+}{\pi}^{-} $$\end{document} and KS0K+K−\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {K}_{\textrm{S}}^0{K}^{+}{K}^{-} $$\end{document}. 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)°.