Amplitude analysis of $B^0\to {\bar{D}}^0{K}^{+}\ddot{I}{€}^{-}$ decays

Abstract

The Dalitz plot distribution of $B^0\to {\bar{D}}^0{K}^{+}\ddot{I}{€}^{-}$ decays is studied using a data sample corresponding to $3.0{\mathrm{fb}}^{-1}$ of $pp$ collision data recorded by the LHCb experiment during 2011 and 2012. The data are described by an amplitude model that contains contributions from intermediate $K^{\ast }(892{)}^0$, $K^{\ast }(1410{)}^0$, $K_2^{\ast }(1430{)}^0$ and $D_2^{\ast }(2460{)}^{-}$ resonances. The model also contains components to describe broad structures, including the $K_0^{\ast }(1430{)}^0$ and $D_0^{\ast }(2400{)}^{-}$ resonances, in the $K\ddot{I}€$ S-wave and the $D\ddot{I}€$ S- and P-waves. The masses and widths of the $D_0^{\ast }(2400{)}^{-}$ and $D_2^{\ast }(2460{)}^{-}$ resonances are measured, as are the complex amplitudes and fit fractions for all components included in the amplitude model. The model obtained will be an integral part of a future determination of the angle ${\hat{I}}^3$ of the CKM quark mixing matrix using $B^0\to D{K}^{+}\ddot{I}{€}^{-}$ decays.

33 pages, 12 figures; updated for publication