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.
Highlights
A key goal of flavor physics is to determine precisely the angle γ of the unitarity triangle constructed from pairs of elements of the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix [1,2]
Method [6,7], is to use Bþ → DKþ decays with the neutral D meson decaying to CP eigenstates
The relative branching fractions of the b → umediated Bþ → DÃÃ0Kþ → Dþπ−Kþ and the b → cmediated Bþ → D ÃÃ0Kþ → D−πþKþ processes give the value of r2B, while the Bþ → DÃÃKþ → Dπ0Kþ final state, where the Dmeson is reconstructed using CP eigenstate decay modes, provides sensitivity to γ
Summary
The Bþ → DþKþπ− decay is observed in a data sample corresponding to 3.0 fb−1 of pp collision data recorded by the LHCb experiment during 2011 and 2012. There remain 11 parameters that are varied in the fit to the DþKþπ− sample: the yields for Bþ → DþKþπ− decays, combinatorial and partially reconstructed backgrounds; the fractional yields of the combinatorial background in each NN2 bin; the exponential slope parameter of the combinatorial background and the relative normalization and ratio of widths of the two CB functions.
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