Study of $CP$ violation in $B_{(s)}^0\to D{K}^{\ast }(892{)}^0$ decays with $D\to K\ddot{I}€(\ddot{I}€\ddot{I}€)$, $\ddot{I}€\ddot{I}€(\ddot{I}€\ddot{I}€)$, and $KK$ final states

Abstract

A measurement of $CP$-violating observables associated with the interference of $B^0\to D^0{K}^{\ast }(892{)}^0$ and $B^0\to {\bar{D}}^0{K}^{\ast }(892{)}^0$ decay amplitudes is performed in the $D^0\to K^{\mp }\ddot{I}{€}^{\pm }(\ddot{I}{€}^{+}\ddot{I}{€}^{-}),$ $D^0\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}(\ddot{I}{€}^{+}\ddot{I}{€}^{-})$, and $D^0\to K^{+}{K}^{-}$ final states using data collected by the LHCb experiment corresponding to an integrated luminosity of $9$ ${\text{fb}}^{-1}$. $CP$-violating observables related to the interference of $B_s^0\to D^0{\bar{K}}^{\ast }(892{)}^0$ and $B_s^0\to {\bar{D}}^0{\bar{K}}^{\ast }(892{)}^0$ are also measured, but no evidence for interference is found. The $B^0$ observables are used to constrain the parameter space of the CKM angle ${\hat{I}}^3$ and the hadronic parameters $r_{B^0}^{D{K}^{\ast }}$ and $\hat{I}{´}_{B^0}^{D{K}^{\ast }}$ 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.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2023-040.html (LHCb public pages)