Study of CP violation in B0→ DK⋆(892)0 decays with D → Kπ(ππ), ππ(ππ), and KK final states

Abstract

A measurement of CP-violating observables associated with the interference of B⁰→ D⁰K^⋆(892)⁰ and $B^0\to {\overline{D}}^0{K}^{\star }{\left(892\right)}^0$ decay amplitudes is performed in the D⁰→ K^∓π^±(π⁺π⁻), D⁰→ π⁺π⁻(π⁺π⁻), and D⁰→ K⁺K⁻ final states using data collected by the LHCb experiment corresponding to an integrated luminosity of 9 fb⁻¹. CP-violating observables related to the interference of $B_s^0\to D^0{\overline{K}}^{\star }{\left(892\right)}^0$ and $B_s^0\to {\overline{D}}^0{\overline{K}}^{\star }{\left(892\right)}^0$ are also measured, but no evidence for interference is found. The B⁰ observables are used to constrain the parameter space of the CKM angle γ and the hadronic parameters $r_{B^0}^{\mathit{DK}\star }$ and ${\delta }_{B^0}^{\mathit{DK}\star }$ with inputs from other measurements. In a combined analysis, these measurements allow for four solutions in the parameter space, only one of which is consistent with the world average.