Measurement of the neutralDmeson mixing parameters in a time-dependent amplitude analysis of theD0→π+π−π0decay

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Abstract

We perform the first measurement on the ${D}^{0}\ensuremath{-}{\overline{D}}^{0}$ mixing parameters using a time-dependent amplitude analysis of the decay ${D}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$. The data were recorded with the BABAR detector at center-of-mass energies at and near the $\ensuremath{\Upsilon}(4S)$ resonance, and correspond to an integrated luminosity of approximately $468.1\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$. The neutral $D$ meson candidates are selected from ${D}^{*}(2010{)}^{+}\ensuremath{\rightarrow}{D}^{0}{\ensuremath{\pi}}_{s}^{+}$ decays where the flavor at the production is identified by the charge of the low-momentum pion, ${\ensuremath{\pi}}_{s}^{+}$. The measured mixing parameters are $x=(1.5\ifmmode\pm\else\textpm\fi{}1.2\ifmmode\pm\else\textpm\fi{}0.6)%$ and $y=(0.2\ifmmode\pm\else\textpm\fi{}0.9\ifmmode\pm\else\textpm\fi{}0.5)%$, where the quoted uncertainties are statistical and systematic, respectively.

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