Measurement of $CP$ observables in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm }\to D\ddot{I}{€}^{\pm }$ with two- and four-body $D$ decays

Abstract

Measurements of $CP$ observables in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm }\to D\ddot{I}{€}^{\pm }$ decays are presented where the $D$ meson is reconstructed in the final states $K^{\pm }\ddot{I}{€}^{\mp }$, $\ddot{I}{€}^{\pm }{K}^{\mp }$, $K^{+}{K}^{-}$, $\ddot{I}{€}^{+}\ddot{I}{€}^{-}$, $K^{\pm }\ddot{I}{€}^{\mp }\ddot{I}{€}^{+}\ddot{I}{€}^{-}$, $\ddot{I}{€}^{\pm }{K}^{\mp }\ddot{I}{€}^{+}\ddot{I}{€}^{-}$ and $\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^{+}\ddot{I}{€}^{-}$. This analysis uses a sample of charged $B$ mesons from $pp$ collisions collected by the LHCb experiment in 2011 and 2012, corresponding to an integrated luminosity of 3.0 fb${}^{-1}$. Various \CP-violating effects are reported and together these measurements provide important input for the determination of the unitarity triangle angle ${\hat{I}}^3$. The analysis of the four-pion $D$ decay mode is the first of its kind.

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-2016-003.html