Measurement ofCP-violating asymmetries inB0→(ρπ)0using a time-dependent Dalitz plot analysis
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Abstract
We report a measurement of $CP$-violating asymmetries in ${B}^{0}\ensuremath{\rightarrow}(\ensuremath{\rho}\ensuremath{\pi}{)}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ decays using a time-dependent Dalitz plot analysis. The results are obtained from a data sample of $375\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $\mathit{\ensuremath{\Upsilon}}(4S)\ensuremath{\rightarrow}B\overline{B}$ decays, collected by the BABAR detector at the PEP-II asymmetric-energy $B$ Factory at SLAC. We measure 26 coefficients of the bilinear form-factor terms occurring in the time-dependent decay rate of the ${B}^{0}$ meson. We derive the physically relevant quantities from these coefficients. In particular, we measure a constraint on the angle $\ensuremath{\alpha}$ of the unitarity triangle.
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