| We present measurements of branching fractions and CP-violating asymmetries in B-meson decays to rho +pi0, rho0pi+ and rho 0pi0. The data sample comprises 89 x 106 &Ugr;(4S) → BB¯ decays collected with the BABAR detector at the PEP-II asymmetric-energy B Factory at SLAC. We find the charge-averaged branching fractions B (B+ → rho+pi 0) = (10.9 +/- 1.9(stat) +/- 1.9(syst)) x 10 -6 and B (B+ → rho0pi +) = (9.5 +/- 1.1 +/- 0.9) x 10-6, and we set a 90% confidence-level upper limit B (B0 → rho0pi 0) < 2.9 x 10-6. We measure the charge asymmetries Ar+p0CP = 0.24 +/- 0.16 +/- 0.06 and Ar0p+CP = -0.19 +/- 0.11 +/- 0.02.; We also present the preliminary measurement of CP-violating asymmetries in B0 → (rhopi) 0 → pi+pi-pi 0 decays using a time-dependent Dalitz plot analysis. The results are obtained from a data sample of 213 million &Ugr;(4 S) → BB¯ decays, collected by the BABAR detector at the PEP-II asymmetric-energy B Factory at SLAC. This analysis extends the narrow-rho quasi-two-body approximation used in the previous analysis, by taking into account the interference between the rho resonances of the three charges. We measure 16 coefficients of the bilinear form factor terms occurring in the time-dependent decay rate of the B0 meson with the use of a maximum-likelihood fit. We derive the physically relevant quantities from these coefficients. We measure the direct CP-violation parameters Arp = -0.088 +/- 0.049 +/- 0.013 and C = 0.34 +/- 0.11 +/- 0.05, where the first errors are statistical and the second systematic. For the mixing-induced CP-violation parameter we find S = -0.10 +/- 0.14 +/- 0.04, and for the dilution and strong phase shift parameters respectively, we obtain DeltaC = 0.15 +/- 0.11 +/- 0.03 and Delta S = 0.22 +/- 0.15 +/- 0.03. For the angle alpha of the Unitarity dangle we measure ( 113+27-17 +/- 6)°; only a weak constraint is achieved at the significance level of more than two standard deviations. Finally, for the relative strong phase delta+- between the B0 → rho -pi+ and B0 → rho +pi- transitions we find ( -67+28-31 +/- 7)°, with a similarly weak constraint at two standard deviations and beyond. |
