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

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Abstract

The $B^{+}\to D^{+} K^{+} \pi^{-}$ decay is observed in a data sample corresponding to $3.0\,{\rm fb}^{-1}$ 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 ${\cal B}\left(B^{+}\to D^{+} K^{+} \pi^{-}\right) = (5.31 \pm 0.90 \pm 0.48 \pm 0.35)\times 10^{-6}$, 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 $B^{+}\to D^{*}_{2}(2460)^{0}K^{+}$ and $B^{+}\to D^{+} K^{*}(892)^{0}$ decays. No significant signals are observed and upper limits are set on their branching fractions.

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Decay diagrams for (a) $ B ^+ \!\rightarrow \overline{ D }{} {}^*_2(2460)^0 K^+ $, (b) $ B ^+ \!\rightarrow D^*_2(2460)^0 K^+ $ and (c) $ B ^+ \rightarrow D ^+ K^*(892)^0$ channels.

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Weighted invariant mass distribution of candidates in the (left) $ B ^+ \rightarrow D ^- K ^+ \pi ^+ $ and (right) $ B ^+ \rightarrow D ^+ K ^+ \pi ^- $ data samples. Data points and fit functions are weighted as described in the text. The components are as detailed in the legend.

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Background-subtracted Dalitz plot distribution of $ B ^+ \rightarrow D ^+ K ^+ \pi ^- $ candidates in the region $5260 < m( D ^+ K ^+ \pi ^- ) < 5310 {\mathrm{\,MeV\!/}c^2} $ from all NN2 bins. Areas of boxes are proportional to signal yields. Negative yields are indicated by crosses.

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Results of binned minimum $\chi^2 $ fits to the $ B ^+ $ candidate invariant mass distributions of (left) $ B ^+ \rightarrow D ^- K ^+ \pi ^+ $ and (right) $ B ^+ \rightarrow D ^+ K ^+ \pi ^- $ candidates with efficiency corrections and angular weights applied. Candidates in the ranges (top) $2217.6 < m(D^\pm\pi^\mp) < 2315.6 {\mathrm{\,MeV\!/}c^2} $ and (bottom right) $801.0 < m( K ^+ \pi ^- ) < 990.6 {\mathrm{\,MeV\!/}c^2} $ are shown, while in the bottom left plot the whole $m( K ^+ \pi ^+ )$ range is included. The components are as described in the legend.

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Tables and captions

Yields and statistical uncertainties obtained from fits to the $ D ^- K ^+ \pi ^+ $ and $ D ^+ K ^+ \pi ^- $ data samples.

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Results of the binned minimum $\chi^2 $ fits to efficiency-corrected $ B ^+ $ candidate invariant mass distributions in each resonance region and with weighting according to angular distributions as described in the text.

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Supplementary Material [file]

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This ZIP file contains supplemetary material for the publication LHCb-PAPER-2015-054. The files are: Supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.C, *.eps : The figures in variuous formats

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Created on 09 December 2018.Citation count from INSPIRE on 18 December 2018.