Amplitude analysis of $B^{-}\to D^{+}\ddot{I}{€}^{-}\ddot{I}{€}^{-}$ decays

Abstract

The Dalitz plot analysis technique is used to study the resonant substructures of $B^{-}\to D^{+}\ddot{I}{€}^{-}\ddot{I}{€}^{-}$ decays in a data sample corresponding to 3.0 ${\mathrm{fb}}^{-1}$ of $pp$ collision data recorded by the LHCb experiment during 2011 and 2012. A model-independent analysis of the angular moments demonstrates the presence of resonances with spins 1, 2 and 3 at high $D^{+}\ddot{I}{€}^{-}$ mass. The data are fitted with an amplitude model composed of a quasi-model-independent function to describe the $D^{+}\ddot{I}{€}^{-}$ S-wave together with virtual contributions from the $D^{\ast }(2007{)}^0$ and $B^{\ast 0}$ states, and components corresponding to the $D_2^{\ast }(2460{)}^0$, $D_1^{\ast }(2680{)}^0$, $D_3^{\ast }(2760{)}^0$ and $D_2^{\ast }(3000{)}^0$ resonances. The masses and widths of these resonances are determined together with the branching fractions for their production in $B^{-}\to D^{+}\ddot{I}{€}^{-}\ddot{I}{€}^{-}$ decays. The $D^{+}\ddot{I}{€}^{-}$ S-wave has phase motion consistent with that expected due to the presence of the $D_0^{\ast }(2400{)}^0$ state. These results constitute the first observations of the $D_3^{\ast }(2760{)}^0$ and $D_2^{\ast }(3000{)}^0$ resonances.

39 pages, 11 figures, submitted to Phys. Rev. D. 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-2016-026.html