First observation of the rare $B^{+}\to D^{+}{K}^{+}{\pi }^{-}$ decay

Abstract

The $B^{+}\to D^{+}{K}^{+}{\pi }^{-}$ decay is observed in a data sample corresponding to $3.0{\mathrm{fb}}^{-1}$ of $pp$ collision data recorded by the LHCb experiment during 2011 and 2012. The signal significance is $8\sigma$ and the branching fraction is measured to be $\mathcal{B}\left(B^{+}\to D^{+}{K}^{+}{\pi }^{-}\right)=(5.31\pm 0.90\pm 0.48\pm 0.35)\times 10^{-6}$, where the uncertainties are statistical, systematic and due to the normalisation mode $B^{+}\to D^{-}{K}^{+}{\pi }^{+}$, respectively. The Dalitz plot appears to be dominated by broad structures. Angular distributions are exploited to search for quasi-two-body contributions from $B^{+}\to D_2^{\ast }(2460{)}^0{K}^{+}$ and $B^{+}\to D^{+}{K}^{\ast }(892{)}^0$ decays. No significant signals are observed and upper limits are set on their branching fractions.

19 pages, 4 figures, submitted to Phys. Rev. D. (R). 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-2015-054.html. Updated following erratum: 10.1103/PhysRevD.93.119902

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• PYTHIA 6.4 Physics and Manual
• Search for the decay $B_s^0\to {\overline{D}}^0{f}_0(980)$
• First observation and amplitude analysis of the $B^{-}\to D^{+}{K}^{-}{\pi }^{-}$ decay
• Search for the lepton-flavour violating decay $D^0\to e^{\pm }{\mu }^{\mp }$
• First observation of the decays ${\bar{B}}_{(s)}^0\to D_s^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ and ${\bar{B}}_s^0\to D_{s1}(2536{)}^{+}{\pi }^{-}$

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