Measurement of the CKM angle ${\hat{I}}^3$ in the $B^0\to D{K}^{\ast 0}$ channel using self-conjugate $D\to K_S^0{h}^{+}{h}^{-}$ decays

Abstract

A model-independent study of CP violation in $B^0\to D{K}^{\ast 0}$ decays is presented using data corresponding to an integrated luminosity of 9fb${}^{-1}$ collected by the LHCb experiment at centre-of-mass energies of $\sqrt{s}=7,8$ and $13$TeV. The CKM angle ${\hat{I}}^3$ is determined by examining the distributions of signal decays in phase-space bins of the self-conjugate $D\to K_S^0{h}^{+}{h}^{-}$ decays, where $h=\ddot{I}€,K$. Observables related to CP violation are measured and the angle ${\hat{I}}^3$ is determined to be ${\hat{I}}^3=(49_{-19}^{+22}{)}^{\circ }$. Measurements of the amplitude ratio and strong-phase difference between the favoured and suppressed $B^0$ decays are also presented.

All figures and tables, along with machine-readable versions and any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2023-009.html (LHCb public pages)