Constraints on the unitarity triangle angle ${\hat{I}}^3$ from Dalitz plot analysis of $B^0\to D{K}^{+}\ddot{I}{€}^{-}$ decays

Abstract

The first study is presented of CP violation with an amplitude analysis of the Dalitz plot of $B^0\to D{K}^{+}\ddot{I}{€}^{-}$ decays, with $D\to K^{+}\ddot{I}{€}^{-}$, $K^{+}{K}^{-}$ and $\ddot{I}{€}^{+}\ddot{I}{€}^{-}$. The analysis is based on a data sample corresponding to $3.0{\mathrm{fb}}^{-1}$ of $pp$ collisions collected with the LHCb detector. No significant CP violation effect is seen, and constraints are placed on the angle ${\hat{I}}^3$ of the unitarity triangle formed from elements of the Cabibbo-Kobayashi-Maskawa quark mixing matrix. Hadronic parameters associated with the $B^0\to D{K}^{\ast }(892{)}^0$ decay are determined for the first time. These measurements can be used to improve the sensitivity to ${\hat{I}}^3$ of existing and future studies of the $B^0\to D{K}^{\ast }(892{)}^0$ decay.

All figures and tables, along with any supplementary material and additional information, are available at https://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2015-059.html; updated to correct figure 9 (numerical results unchanged)