Dalitz plot analysis of theD+→K−π+π+decay

We perform a Dalitz plot analysis of $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ decay with the CLEO-c data set of $572{\mathrm{pb}}^{-1}$ of $e^{+}{e}^{-}$ collisions accumulated at the $\psi (3770)$. This corresponds to $1.6\times {10}^6$ $D^{+}{D}^{-}$ pairs from which we select 140 793 candidate events with a small background of 1.1%. We compare our results with previous measurements using the isobar model. We modify the isobar model with an improved description of some of the contributing resonances and get better agreement with our data. We also consider a quasi-model-independent approach and measure the magnitude and phase of the contributing $K\pi$ $S$ wave in the range of invariant masses from the threshold to the maximum in this decay. This gives an improved description of our data over the isobar model. Finally we allow for an isospin-two ${\pi }^{+}{\pi }^{+}$ $S$ wave contribution and find that adding this to both the isobar model and the quasi-model-independent approach gives the best description of our data.