First model-independent determination of the relative strong phase betweenD0andD¯0→KS0π+π−and its impact on the CKM angleγ/ϕ3measurement

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Abstract

We exploit the quantum coherence between pair-produced ${D}^{0}$ and ${\overline{D}}^{0}$ in $\ensuremath{\psi}(3770)$ decays to make a first determination of the relative strong phase differences between ${D}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and ${\overline{D}}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, which are of great importance in determining the Cabibbo-Kobayashi-Maskawa angle $\ensuremath{\gamma}/{\ensuremath{\phi}}_{3}$ in ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}^{0}({\overline{D}}^{0}){K}^{\ensuremath{-}}$ decays. Using $818\text{ }\text{ }{\mathrm{pb}}^{\ensuremath{-}1}$ of ${e}^{+}{e}^{\ensuremath{-}}$ collision data collected with the CLEO-c detector at ${E}_{\mathrm{cm}}=3.77\text{ }\text{ }\mathrm{GeV}$, we employ a binned Dalitz-plot analysis of ${K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and ${K}_{L}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decays recoiling against flavor-tagged, $CP$-tagged, and ${K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$-tagged events to determine these strong phase differences.

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