Observation of $CP$ violation in two-body $B_{(\mathrm{s})}^0$-meson decays to charged pions and kaons

Abstract

The time-dependent $CP$ asymmetries of $B^0\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}$ and $B_{\mathrm{s}}^0\to K^{+}{K}^{-}$ decays are measured using a data sample of $pp$ collisions corresponding to an integrated luminosity of 1.9 fb${}^{-1}$, collected with the LHCb detector at a centre-of-mass energy of 13 TeV. The results are \begin{eqnarray*} C_{ππ} & = & -0.311 \pm 0.045 \pm 0.015, \\ S_{ππ} & = & -0.706 \pm 0.042 \pm 0.013, \\ C_{KK} & = & \phantom{-}0.164 \pm 0.034 \pm 0.014, \\ S_{KK} & = & \phantom{-}0.123 \pm 0.034 \pm 0.015, \\ \cal {A}^{\mathrm{ΔΓ}}_{\mathit{KK}} & = & -0.83\phantom{0} \pm 0.05\phantom{0} \pm 0.09, \end{eqnarray*} where the first uncertainties are statistical and the second systematic. The same data sample is used to measure the time-integrated $CP$ asymmetries of $B^0\to K^{+}\ddot{I}{€}^{-}$ and $B_{\mathrm{s}}^0\to K^{-}\ddot{I}{€}^{+}$ decays and the results are \begin{eqnarray*} A_{CP}^{B^0} & = & -0.0824 \pm 0.0033 \pm 0.0033, \\ A_{CP}^{B^0_\mathrm{s}} & = & \phantom{-}0.236\phantom{0} \pm 0.013\phantom{0} \pm 0.011. \end{eqnarray*} All results are consistent with earlier measurements. A combination of LHCb measurements provides the first observation of time-dependent $CP$ violation in $B_{\mathrm{s}}^0$ decays.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2020-029.html (LHCb public pages)