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Measurement of the CKM angle $γ$ with $ B^\pm \to D[K^\mp π^\pm π^\pm π^\mp] h^\pm$ decays using a binned phase-space approach

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Abstract

The CKM angle $\gamma$ is determined from $C P$-violating observables measured in ${B^\pm \to D[ K^\mp \pi^\pm\pi^\pm\pi^\mp] h^\pm}$, $(h = K,\pi)$ decays, where the measurements are performed in bins of the decay phase-space of the $D$ meson. Using proton-proton collision data collected by the LHCb experiment at centre-of-mass energies of $7, 8$ and $13 \text{TeV}$, corresponding to a total integrated luminosity of $9 \text{fb}^{-1}$, $\gamma$ is determined to be \begin{equation*} \gamma = \left( 54.8 \: ^{+\:6.0 }_{-\:5.8} \: ^{+\:0.6}_{-\:0.6} \: ^{+\:6.7}_{-\:4.3} \right)^\circ, \end{equation*} where the first uncertainty is statistical, the second systematic and the third from the external inputs on the coherence factors and strong phases of the $D$-meson decays.

Figures and captions

Invariant-mass distributions of LS $ B ^\pm \rightarrow D K ^\pm $ (top) and $ B ^\pm \rightarrow D \pi ^\pm $ (bottom) candidates, divided by charge of the $B$ hadron. The results of the fit are overlaid.

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Invariant-mass distributions of OS $ B ^\pm \rightarrow D K ^\pm $ (top) and $ B ^\pm \rightarrow D \pi ^\pm $ (bottom) candidates, divided by charge of the $B$ hadron. The results of the fit are overlaid.

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Invariant-mass distributions of OS $ B ^\pm \rightarrow D K ^\pm $ candidates, divided by the charge of the $B$-hadron and phase-space bin. The results of the fit are overlaid.

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Invariant-mass distributions of OS $ B ^\pm \rightarrow D \pi ^\pm $ candidates, divided by the charge of the $B$-hadron and phase-space bin. The results of the fit are overlaid.

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$\Delta m$ distributions for WS $D^{*+} \rightarrow D ^0 \pi ^+ $ candidates, where the $D^{*+}$ has been produced via ${X_b \rightarrow D^{*+} \mu^- \overline{\nu } _\mu X}$ decays. The candidates are divided by $D$-decay phase-space bin.

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Animated gif made out of all figures.

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Tables and captions

Definition of the four bins in terms of $\tilde{\delta}_{K3\pi}$. The measured values of $R_{K3\pi}^i$ and $\delta_{K3\pi}^i$, where $i$ refers to the phase-space bin, are taken from Ref. [18], and combine measurements from BESIII, CLEO-c and an LHCb analysis of charm mixing.

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Observables $\mathcal{R}_{h^\pm}$ and $\mathcal{R}_\text{DT}$ in the four phase-space bins. Values are presented without correcting for differences in the efficiencies between OS and LS decays. Corrections of $\mathcal{O}(1)\%$ are applied in the interpretation fit, and are given in App. B.

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Correlation matrix of $\gamma$ with the $B$-hadronic parameters, expressed in the Cartesian form.

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Statistical correlation matrix between $\mathcal{R}_{h^\pm}^i$ observables

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Systematic correlation matrix between $\mathcal{R}_{h^\pm}^i$ observables

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Statistical correlation matrix between $\mathcal{R}_\text{DT}^i$ observables

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Systematic correlation matrix between $\mathcal{R}_\text{DT}^i$ observables

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Efficiency corrections to the observables, where the quoted uncertainties are due to the finite sizes of the simulated samples used to evaluate the corrections. The derivatives of the corrections with respect to the $\gamma$ and the $B$-decay parameters, using $z_{h^\pm} \equiv r_B^h e^{i (\delta_B^h \pm \gamma)}$, and the charm mixing parameters $(x,y)$ are also given.

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Supplementary Material [file]

Supplementary material full pdf

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This ZIP file contains supplemetary material for the publication LHCb-PAPER-2022-017. The files are: Supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.eps : The figures in various formats

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Created on 02 May 2024.