Measurement of the neutral $D$ meson mixing parameters in a time-dependent amplitude analysis of the $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ decay

Abstract

We measure the $D^0-{\bar{D}}^0$ mixing parameters using a time-dependent amplitude analysis of the decay $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$. The data were recorded with the BABAR detector at center-of-mass energies at and near the ${\rm Y}(4S)$ resonance, and correspond to an integrated luminosity of approximately 468.1 ${\mathrm{fb}}^{-1}$. The neutral $D$ meson candidates are selected from $D^{\ast }(2010{)}^{+}\to D^0{\pi }_s^{+}$ decays where the flavor at the production is identified by the charge of the low momentum pion, ${\pi }_s^{+}$. The measured mixing parameters are $x=(1.5\pm 1.2\pm 0.6)\%$ and $y=(0.2\pm 0.9\pm 0.5)\%$, where the quoted uncertainties are statistical and systematic, respectively.

11 pages, 2 figures, to be published in Phys. Rev. D