Amplitude analysis of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ decays using CLEO-c data

Abstract

The resonant substructure of the decay $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ is studied by performing a full five-dimensional amplitude analysis. Preliminary results based on data collected by the CLEO-c detector are presented. This is the largest dataset of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ decays analysed in this way to-date. The two most significant contributions are $D^0\to a_1(1260{)}^{+}{\pi }^{-}$ and $D^0\to \rho (770{)}^0\rho (770{)}^0$. The line shape, mass and width of the $a_1(1260)$ resonance are determined, and model-independent studies of the line shapes of several resonant contributions are preformed.

Final results published in JHEP 05 (2017) 143 (http://inspirehep.net/record/1519168)