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

Information

LHCb-PAPER-2015-054
CERN-PH-EP-2015-313
arXiv:1512.02494 [PDF]

(Submitted on 08 Dec 2015)
Phys. Rev. D93 (2016) 051101(R)
Inspire 1408740

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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.

Figures and captions

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.	Fig1a.pdf [14 KiB] HiDef png [43 KiB] Thumbnail [21 KiB] *.C file
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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.	Fig2a.pdf [24 KiB] HiDef png [268 KiB] Thumbnail [225 KiB] *.C file
	Fig2b.pdf [24 KiB] HiDef png [253 KiB] Thumbnail [215 KiB] *.C file
Background-subtracted Dalitz plot distribution of $ B ^+ \rightarrow D ^+ K ^+ \pi ^- $ candidates in the region $5260 < m( D ^+ K ^+ \pi ^- ) < 5310 {\mathrm{ Me V /}c^2} $ from all NN2 bins. Areas of boxes are proportional to signal yields. Negative yields are indicated by crosses.	Fig3.pdf [17 KiB] HiDef png [117 KiB] Thumbnail [86 KiB] *.C file
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{ Me V /}c^2} $ and (bottom right) $801.0 < m( K ^+ \pi ^- ) < 990.6 {\mathrm{ Me V /}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.	Fig4a.pdf [18 KiB] HiDef png [221 KiB] Thumbnail [181 KiB] *.C file
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Animated gif made out of all figures.	PAPER-2015-054.gif Thumbnail

Tables and captions

Yields and statistical uncertainties obtained from fits to the $ D ^- K ^+ \pi ^+ $ and $ D ^+ K ^+ \pi ^- $ data samples.	Table_1.pdf [52 KiB] HiDef png [52 KiB] Thumbnail [27 KiB] tex code
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.	Table_2.pdf [53 KiB] HiDef png [49 KiB] Thumbnail [20 KiB] tex code

Supplementary Material [file]

Supplementary material full pdf	supple[..].pdf [347 KiB]
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