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Model-independent measurement of mixing parameters in $D^0 \to K_S^0 \pi^+ \pi^-$ decays

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Abstract

The first model-independent measurement of the charm mixing parameters in the decay $D^0 \to K_S \pi^+ \pi^-$ is reported, using a sample of $pp$ collision data recorded by the LHCb experiment, corresponding to an integrated luminosity of 1.0 fb$^{-1}$ at a centre-of-mass energy of 7 TeV. The measured values are \begin{eqnarray*} x &=& (-0.86 \pm 0.53 \pm 0.17) \times 10^{-2}, \\ y &=& (+0.03 \pm 0.46 \pm 0.13) \times 10^{-2}, \end{eqnarray*} where the first uncertainties are statistical and include small contributions due to the external input for the strong phase measured by the CLEO collaboration, and the second uncertainties are systematic.

Figures and captions

Fitted $m_D$ distribution. Both plots show the same data sample with (left) linear and (right) logarithmic vertical scales. The curves show the results of the first fit, described in Sec. 4.2: the total (solid black), the background component (dotted), and the signal component (grey, right only).

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Decay time projection from the fit for separation of prompt and secondary candidates. The curves show the results of the fit described in Sec. 4.4: the total (solid black), the prompt component (solid green), the secondary component (dot-dashed blue), and the combinatorial component (dashed red). Both plots show the same data sample with linear (top) and logarithmic (bottom) vertical scales.

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Fitted $(m_D, \Delta m)$ distributions. The upper row shows the $m_D$ projection and the lower row $\Delta m$. The left column shows $ D ^{*+}$ candidates and the right column $ D ^{*-}$ . The signal and background components are shown separately (signal as solid grey, $ D ^0$ background dashed, combinatoric background dotted, and the sum as solid black).

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Tables and captions

Systematic uncertainties on $x$ and $y$. The statistical uncertainties, which include the uncertainties associated with the CLEO parameters $(c_i, s_i)$, are shown for comparison.

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Table_1.pdf

Supplementary Material [file]

Supplementary material full pdf

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Created on 11 July 2020.