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A model-independent measurement of the CKM angle γ in partially reconstructed B±Dh± decays with DK0Sh+h(h=π,K)

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Abstract

A measurement of CP-violating observables in B±DK± and B±Dπ± decays is made where the photon or neutral pion from the DDγ or DDπ0 decay is not reconstructed. The D meson is reconstructed in the self-conjugate decay modes, DK0Sπ+π or DK0SK+K. The distribution of signal yields in the D decay phase space is analysed in a model-independent way. The measurement uses a data sample collected in proton-proton collisions at centre-of-mass energies of 7, 8, and 13 TeV, corresponding to a total integrated luminosity of approximately 9 fb1. The B±DK± and B±Dπ± CP-violating observables are interpreted in terms of hadronic parameters and the CKM angle γ, resulting in a measurement of γ=(92+2117). The total uncertainty includes the statistical and systematic uncertainties, and the uncertainty due to external strong-phase inputs.

Figures and captions

Mass distributions for (left) DK samples and (right) Dπ samples, with DK0Sπ+π decays reconstructed with a (top) downstream K0S candidate and a (bottom) long K0S candidate. The projections of the fit results are overlaid. In the legend, particles in square brackets are not reconstructed.

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Mass distributions for (left) DK samples and (right) Dπ samples, with DK0SK+K decays reconstructed with a (top) downstream K0S candidate and a (bottom) long K0S candidate. The projections of the fit results are overlaid. In the legend, particles in square brackets are not reconstructed.

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Contours at 68.3% and 95.5% confidence levels indicated by the darker and lighter regions, respectively, for (left, red) (xDK,yDK) which is labelled B and (left, purple) (xDK+,yDK+) which is labelled B+, and (right) ((ξDπ),(ξDπ)), including only statistical uncertainty. The black points indicate the central values.

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Confidence intervals at 68.3% and 95.5% for the CKM angle γ .

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Confidence regions at 68.3% and 95.5% indicated by the lighter and darker shades respectively, for (top, left) γ vs. rDKB, (top, right) γ vs. δDKB, (bottom left) γ vs. rDπB, and (bottom, right) γ vs. δDπB.

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Tables and captions

Signal and background yields from the global fit over the full mass range, 4900\textendash5600 Me V /c2. All yields and uncertainties are rounded to the nearest integer and uncertainties of 1 mean one or fewer. Backgrounds that are not written explicitly in this table are included in the `Other Backgrounds' component.

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Summary of the systematic uncertainties. Values are expressed in units of 102.

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Statistical correlation matrix for the CP -violating observables.

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Correlation matrix associated with LHCb-related systematic uncertainties.

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Correlation matrix associated with the strong-phase inputs.

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Created on 04 April 2025.