Time-dependent amplitude analysis of B-0 -> K-S(0)pi(+)pi(-)

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 18°<βeff<76° at 95% confidence level (C.L). CP conservation in B0 decays to f0(980)K0S is excluded at 3.5 standard deviations including systematic uncertainties. For B0 decays to ρ0(770)K0S, the combined confidence interval is −9°<βeff<57° 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 −137°<ΔΦ(K*+(892)π−)<−5° at 95% C.L.