Amplitude analysis ofD0→K+K−π+π−
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Abstract
The first flavor-tagged amplitude analysis of the decay ${D}^{0}$ to the self-conjugate final state ${K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ is presented. Approximately 3000 signal decays are selected from data acquired by the CLEO II.V, CLEO III, and CLEO-c detectors. The three most significant amplitudes, which contribute to the model that best fits the data, are $\ensuremath{\phi}{\ensuremath{\rho}}^{0}$, ${K}_{1}(1270{)}^{\ifmmode\pm\else\textpm\fi{}}{K}^{\ensuremath{\mp}}$, and nonresonant ${K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$. Separate amplitude analyses of ${D}^{0}$ and ${\overline{D}}^{0}$ candidates indicate no $CP$ violation among the amplitudes at the level of 5% to 30% depending on the mode. In addition, the sensitivity to the $CP$-violating parameter $\ensuremath{\gamma}/{\ensuremath{\phi}}_{3}$ from a sample of 2000 ${B}^{+}\ensuremath{\rightarrow}{\stackrel{\texttildelow{}}{D}}^{0}({K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}){K}^{+}$ decays, where $\stackrel{\texttildelow{}}{D}$ is a ${D}^{0}$ or ${\overline{D}}^{0}$, collected at LHCb or a future flavor facility, is estimated to be $(11.3\ifmmode\pm\else\textpm\fi{}0.3)\ifmmode^\circ\else\textdegree\fi{}$ using the favored model.
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