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

Abstract

Abstract A measurement of CP-violating observables associated with the interference of B0→ D0K⋆(892)0 and $$ {B}^0\to {\overline{D}}^0{K}^{\star }{(892)}^0 $$ B 0

→

D ¯

0

K ⋆

892

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 $$ {B}_s^0\to {D}^0{\overline{K}}^{\star }{(892)}^0 $$

B s 0

→

D 0

K ¯

⋆

892

0

and $$ {B}_s^0\to {\overline{D}}^0{\overline{K}}^{\star }{(892)}^0 $$

B s 0

→

D ¯

0

K ¯

⋆

892

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 $$ {r}_{B^0}^{DK\star } $$

r

B 0

DK ⋆

and $$ {\delta}_{B^0}^{DK\star } $$

δ

B 0

DK ⋆

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.