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Measurement of the ratio of branching fractions $\mathcal{B}(B_c^+ \to B_s^0 \pi^+)/\mathcal{B}(B_c^+ \to J/\psi \pi^+)$

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Abstract

The ratio of branching fractions of $B_c^+ \to B_s^0 \pi^+$ and $B_c^+ \to J/\psi \pi^+$ decays is measured with proton-proton collision data of a centre-of-mass energy of $13\text{TeV}$. The data were collected with the LHCb experiment during 2016--2018, corresponding to an integrated luminosity of $5.4 \text{fb}^{-1}$. The $B_s^0$ mesons are reconstructed via the decays $B_s^0 \to J/\psi \phi$ and $B_s^0 \to D_s^- \pi^+$. The ratio of branching fractions is measured to be $\mathcal{B}(B_c^+ \to B_s^0 \pi^+)/\mathcal{B}(B_c^+ \to J/\psi \pi^+) = 91 \pm 10 \pm 8 \pm 3$ where the first uncertainty is statistical, the second is systematic and the third is due to the knowledge of the branching fractions of the intermediate state decays.

Figures and captions

Invariant-mass distributions of $ B _ c ^+ $ candidates: (top left) $ B_c^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \pi ^+ $ \texttt{TOS}, (top right) $ B_c^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \pi ^+ $ \texttt{TIS}, (bottom left) $ B _ c ^+ \rightarrow B ^0_ s (\rightarrow { J \mskip -3mu/\mskip -2mu\psi } \phi) \pi ^+ $, and (bottom right) $ B _ c ^+ \rightarrow B ^0_ s (\rightarrow D ^-_ s \pi ^+ ) \pi ^+ $. The black dots represent the data, the blue line represents the results of the total fit, and the red dashed line and green shaded area show the signal and combinatorial background components, respectively.

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Animated gif made out of all figures.

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Tables and captions

Branching fractions of intermediate-state decays [15].

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Yields of the normalisation and signal decay modes.

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Total efficiencies of the $ B_c^+ \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \pi ^+ $ and $ B_c^+ \rightarrow B ^0_ s \pi ^+ $ decay modes. The uncertainties are due to the finite size of the simulated samples.

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Relative systematic uncertainties in the ratio of the branching fractions where the symbol $\mathcal{R}_{ { J \mskip -3mu/\mskip -2mu\psi } \phi}$ indicates the ratio of branching fractions measured with the $ B _ c ^+ \rightarrow B ^0_ s (\rightarrow { J \mskip -3mu/\mskip -2mu\psi } \phi) \pi ^+ $ decay channel and $\mathcal{R}_{D_s^-\pi^+}$ that using the $ B _ c ^+ \rightarrow B ^0_ s (\rightarrow D ^-_ s \pi ^+ ) \pi ^+ $ decay.

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Created on 19 April 2024.