Differential branching fraction and angular moments analysis of the decay $B^0\to K^{+}\ddot{I}{€}^{-}\hat{I}{¼}^{+}\hat{I}{¼}^{-}$ in the $K_{0,2}^{\ast }(1430{)}^0$ region

Abstract

Measurements of the differential branching fraction and angular moments of the decay $B^0\to K^{+}\ddot{I}{€}^{-}\hat{I}{¼}^{+}\hat{I}{¼}^{-}$ in the $K^{+}\ddot{I}{€}^{-}$ invariant mass range $1330<m(K^{+}\ddot{I}{€}^{-})<1530MeV/c^2$ are presented. Proton-proton collision data are used, corresponding to an integrated luminosity of 3 $f{b}^{-1}$ collected by the LHCb experiment. Differential branching fraction measurements are reported in five bins of the invariant mass squared of the dimuon system, $q^2$, between 0.1 and 8.0 $Ge{V}^2/c^4$. For the first time, an angular analysis sensitive to the S-, P- and D-wave contributions of this rare decay is performed. The set of 40 normalised angular moments describing the decay is presented for the $q^2$ range 1.1--6.0 $Ge{V}^2/c^4$.

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-2016-025.html