arXiv2008
We report the results of a search for $Z(4430)^-$ decay to $J/ψπ^-$ or $ψ(2S)π^-$ in $B^{-,0}\to \jpsiπ^- K^{0,+}$ and $B^{-,0}\to \psitwos π^- K^{0,+}$ decays. The data were collected with the BABAR detector at the SLAC PEP-II asymmetric-energy $e^+e^-$ collider operating at center of mass energy 10.58 \gev, and the sample corresponds to an integrated luminosity of 413 fb$^{-1}$. Each $Kπ$ mass distribution exhibits clear $K^{\ast}(892)$ and $K^{\ast}_2(1430)$ signals, and the efficiency-corrected spectrum is well-described by a superposition of the associated Breit-Wigner intensity distributions, together with an $S$-wave contribution obtained from the LASS $I=1/2$ $Kπ$ scattering amplitude measurements. Each $Kπ$ angular distribution varies significantly in structure with $Kπ$ mass, and is represented in terms of low-order Legendre polynomial moments. We find that each $J/ψπ$ or $ψ(2S)π$ mass distribution is well-described by the reflection of the measured $Kπ$ mass and angular distribution structures. We see no significant evidence for a $Z(4430)^-$ signal for any of the processes investigated, neither in the total $J/ψπ$ or $ψ(2S)π$ mass distribution, nor in the corresponding distributions for the regions of $Kπ$ mass for which observation of the $Z(4430)^-$ signal was reported. We obtain branching fraction upper limits ${\cal{B}}(B^-\to Z^-\bar{K^0}, Z^-\to J/ψπ^-)<1.5\times 10^{-5}$, ${\cal{B}}(B^0\to Z^-K^+, Z^-\to J/ψπ^-)<0.4\times 10^{-5}$, ${\cal{B}}(B^-\to Z^-\bar{K^0}, Z^-\to ψ(2S)π^-)<4.7\times 10^{-5}$, and ${\cal{B}}(B^0\to Z^-K^+, Z^-\to ψ(2S)π^-)<3.1\times 10^{-5}$ at 95% confidence level, where the $Z(4430)^-$ mass and width have been fixed to the reported central values.