Measurements of neutralBdecay branching fractions toKS0π+π−final states

Branching fraction measurements using $B$-meson decays to $K_S^0{\pi }^{+}{\pi }^{-}$ are presented. These measurements were obtained by analyzing a data sample of $88.9\times {10}^6$ ${\rm Y}(4S)\to B\overline{B}$ decays collected with the BABAR detector at the SLAC PEP-II asymmetric-energy $B$ factory. Using a maximum likelihood fit, the following branching fraction results were obtained: $\mathcal{B}(B^0\to K^0{\pi }^{+}{\pi }^{-})=(43.7\pm 3.8\pm 3.4)\times {10}^{-6}$, $\mathcal{B}(B^0\to K^{*+}{\pi }^{-})=(12.9\pm 2.4\pm 1.4)\times {10}^{-6}$, and $\mathcal{B}\mathbf{(}{B}^0\to D^{-}(\to K_S^0{\pi }^{-}){\pi }^{+}\mathbf{)}=(42.7\pm 2.1\pm 2.2)\times {10}^{-6}$. The $CP$ violating charge asymmetry ${\mathcal{A}}_{K^{*}\pi }$ for the decay $B^0\to K^{*+}{\pi }^{-}$ was measured to be ${\mathcal{A}}_{K^{*}\pi }=0.23\pm {0.18}_{-0.06}^{+0.09}$. For all these measurements the first error is statistical and the second is systematic.