Double Dalitz plot analysis of flavor and CP modes

We use the CLEO-c 281.1 pb-1 of psi(3770) data to study the structure of the D0 → K0S pi+pi- Dalitz plot. Given the luminosity and sigma(DD) we have 1011960 correlated DD pairs. We analyze the case where both D's decay to three body decay modes. We analyze the two correlated Dalitz plots and show how this method increases sensitivity to effects of quantum correlations. We present two different studies.; One is the Flavor tag analysis, where we reconstruct D 0 → K-pi+pi 0 and D0 → K0S pi+pi-. This was used to test our sensitivity to Doubly Cabibbo Suppressed (DCS) terms. We find that, if we ignore the DCS terms, the results differ from the CLEO II.V model by as much as 4sigma. Thus, in Flavor tags, we see evidence for enhancement of DCS terms through quantum correlations.; The other study is the Combo tag analysis where both D's are reconstructed to K0S pi+pi-. This mode entangles both Flavor and CP. We construct a correlated Probability Distribution Function (PDF), and it is built on the CLEO II.V model for the D0 → K0S pi+pi- Dalitz plot. We find that with low statistics, 180 compared to 5305 events, we are able to reproduce the CLEO II.V analysis within errors. However, we do find one significant difference in the amplitude of the f2(1270). Also, the significance level, our goodness of fit, indicates that the CLEO II.V model has 0.4% significance. Between the f2(1270) discrepancy and the low significance level, we conclude that the CLEO II.V model is insufficient for our correlated data.; We conclude that the quantum correlations in our data have a significant effect on our data. Our Flavor tag data indicates we are more sensitive to DCS terms than uncorrelated data. Our Combo tag data indicates that we see differences between our correlated data and CLEO II.V's uncorrelated data.