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Measurements of the differential branching fraction and angular moments ofthe decay $B^0 \to K^+ \pi^- \mu^+ \mu^-$ in the $K^+\pi^-$ invariant massrange $1330<m(K^+ \pi^-)<1530~MeV/c^2$ are presented. Proton-proton collisiondata are used, corresponding to an integrated luminosity of 3 $fb^{-1}$collected by the LHCb experiment. Differential branching fraction measurementsare reported in five bins of the invariant mass squared of the dimuon system,$q^2$, between 0.1 and 8.0 $GeV^2/c^4$. For the first time, an angular analysissensitive to the S-, P- and D-wave contributions of this rare decay isperformed. The set of 40 normalised angular moments describing the decay ispresented for the $q^2$ range 1.1--6.0 $GeV^2/c^4$.

Differential branching fraction and angular moments analysis of the decay $B^0 \to K^+ \pi^- \mu^+ \mu^-$ in the $K^*_{0,2}(1430)^0$ region