Time-dependent amplitude analysis of B0→KS0π+π-

We perform a time-dependent amplitude analysis of B0→K0Sπ+π− decays to extract the CP violation parameters of f0(980)K0S and ρ0(770)K0S and the direct CP asymmetry of K∗+(892)π−. The results are obtained from a data sample of (383±3)×106 BB¯ decays, collected with the BABAR detector at the PEP-II asymmetric-energy B factory at SLAC. We find two solutions, with an equivalent goodness-of-fit. Including systematic and Dalitz plot model uncertainties, the combined confidence interval for values of the CP parameter βeff in B0 decays to f0(980)K0S is 18o<βeff<76o at 95% confidence level (C.L). CP conservation in B0 decays to f0(980)K0S is excluded at 3.5σ including systematic uncertainties. For B0 decays to ρ0(770)K0S, the combined confidence interval is −9o<βeff<57o at 95% C.L. In decays to K∗+(892)π− we measure the direct CP asymmetry to be ACP=−0.20±0.10±0.01±0.02. The measured phase difference (including B0B¯0 mixing) between decay amplitudes of B0→K∗+(892)π− and B¯0→K∗−(892)π+, excludes the interval −137o<ΔΦ(K∗+(892)π−)<−5o at 95% C.L.