Resonances and $CP$ violation in $B_s^0$ and ${\overline{B}}_s^0\to J/\ddot{I}ˆK^{+}{K}^{-}$ decays in the mass region above the $\ddot{I}•(1020)$

Abstract

The decays of $B_s^0$ and ${\overline{B}}_s^0$ mesons into the $J/\ddot{I}ˆK^{+}{K}^{-}$ final state are studied in the $K^{+}{K}^{-}$ mass region above the $\ddot{I}•(1020)$ meson in order to determine the resonant substructure and measure the $CP$-violating phase, $\ddot{I}{•}_s$, the decay width, $\hat{I}{“}_s$, and the width difference between light and heavy mass eigenstates, $\hat{I}”\hat{I}{“}_s$. A decay-time dependent amplitude analysis is employed. The data sample corresponds to an integrated luminosity of $3{\mathrm{fb}}^{-1}$ produced in 7 and 8 Tev $pp$ collisions at the LHC, collected by the LHCb experiment. The measurement determines $\ddot{I}{•}_s=119\pm 107\pm 34\mathrm{mrad}$. A combination with previous LHCb measurements using similar decays into the $J/\ddot{I}ˆ\ddot{I}{€}^{+}\ddot{I}{€}^{-}$ and $J/\ddot{I}ˆ\ddot{I}•(1020)$ final states gives $\ddot{I}{•}_s=1\pm 37\mathrm{mrad}$, consistent with the Standard Model prediction.

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-2017-008.html