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Measurement of the branching fractions of the decays $B^0_s \rightarrow \overline{D}^0 K^- \pi^+$ and $B^0 \rightarrow \overline{D}^0 K^+ \pi^-$

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Abstract

The first observation of the decay Bs -> D0bar K- {\pi}+ is reported. The analysis is based on a data sample, corresponding to an integrated luminosity of 1.0 fb-1 of pp collisions, collected with the LHCb detector. The branching fraction relative to that of the topologically similar decay B0 -> D0bar {\pi}+ {\pi}- is measured to be BR(Bs -> D0bar K- {\pi}+)/BR(B0 -> D0bar {\pi}+ {\pi}-) = 1.18 +- 0.05 (stat.) +- 0.12 (syst.). In addition, the relative branching fraction of the decay B0 -> D0bar K+ {\pi}- is measured to be BR(B0 -> D0bar K+ {\pi}-)/BR(B0 -> D0bar {\pi}+ {\pi}-) = 0.106 +- 0.007 (stat.) +- 0.008 (syst.).

Figures and captions

Decay diagrams for (a) favoured $ B ^0 \rightarrow \overline{ D }{} ^0 K ^+ \pi ^- $ decays and (b) favoured $ B ^0_ s \rightarrow \overline{ D }{} ^0 K ^- \pi ^+ $ decays.

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Fits to the $ B ^0_{( s )} $ candidate invariant mass distributions for the (a) $D\pi\pi$ and (b) $DK\pi$ samples. Data points are shown in black, the full fitted PDFs as solid blue lines and the components as detailed in the legends.

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Efficiency corrected Dalitz plot distributions for (a) $ B ^0 \rightarrow \overline{ D }{} ^0 \pi ^+ \pi ^- $, (b) $ B ^0 \rightarrow \overline{ D }{} ^0 K ^+ \pi ^- $ and (c) $ B ^0_ s \rightarrow \overline{ D }{} ^0 K ^- \pi ^+ $ candidates obtained from the signal weights.

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Animated gif made out of all figures.

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Tables and captions

Summary of the efficiencies for $D\pi\pi$ and $DK\pi$ in phase space simulation. Contributions from geometrical acceptance ($\epsilon^{\rm geom}$), trigger and selection requirements ($\epsilon^{\rm trig\&sel}$) and particle identification ($\epsilon^{\rm PID}$) are shown. The geometrical acceptance is evaluated for $ B $ mesons produced within the detector acceptance. Values given are in percent.

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Systematic uncertainties on $R_{ B ^0 }$ and $R_{ B ^0_ s }$. The total is obtained from the sum in quadrature of all contributions. Note that all uncertainties are relative.

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Created on 02 May 2024.