First observation and amplitude analysis of theB−→D+K−π−decay

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Abstract

The ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{\ensuremath{-}}$ decay is observed in a data sample corresponding to $3.0\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of $pp$ collision data recorded by the LHCb experiment during 2011 and 2012. Its branching fraction is measured to be $\mathcal{B}({B}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{\ensuremath{-}})=(7.31\ifmmode\pm\else\textpm\fi{}0.19\ifmmode\pm\else\textpm\fi{}0.22\ifmmode\pm\else\textpm\fi{}0.39)\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}5}$ where the uncertainties are statistical, systematic and from the branching fraction of the normalization channel ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{\ensuremath{-}}$, respectively. An amplitude analysis of the resonant structure of the ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{\ensuremath{-}}$ decay is used to measure the contributions from quasi-two-body ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}_{0}^{*}(2400{)}^{0}{K}^{\ensuremath{-}}$, ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}_{2}^{*}(2460{)}^{0}{K}^{\ensuremath{-}}$, and ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}_{J}^{*}(2760{)}^{0}{K}^{\ensuremath{-}}$ decays, as well as from nonresonant sources. The ${D}_{J}^{*}(2760{)}^{0}$ resonance is determined to have spin 1.

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