Measurement of time-dependent CP asymmetries in B0→D(*)±π∓ and B0→D±ρ∓ decays

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We present updated results on time-dependent $CP$ asymmetries in fully reconstructed ${B}^{0}\ensuremath{\rightarrow}{D}^{(*)\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{\ensuremath{\mp}}$ and ${B}^{0}\ensuremath{\rightarrow}{D}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\rho}}^{\ensuremath{\mp}}$ decays in approximately $232\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $\ensuremath{\Upsilon}(4S)\ensuremath{\rightarrow}B\overline{B}$ events collected with the BABAR detector at the PEP-II asymmetric-energy $B$ factory at SLAC. From a time-dependent maximum-likelihood fit we obtain for the parameters related to the $CP$ violation angle $2\ensuremath{\beta}+\ensuremath{\gamma}$: ${a}^{D\ensuremath{\pi}}=\ensuremath{-}0.010\ifmmode\pm\else\textpm\fi{}0.023\ifmmode\pm\else\textpm\fi{}0.007$, ${c}_{\mathrm{lep}}^{D\ensuremath{\pi}}=\ensuremath{-}0.033\ifmmode\pm\else\textpm\fi{}0.042\ifmmode\pm\else\textpm\fi{}0.012$, ${a}^{{D}^{*}\ensuremath{\pi}}=\ensuremath{-}0.040\ifmmode\pm\else\textpm\fi{}0.023\ifmmode\pm\else\textpm\fi{}0.010$, ${c}_{\mathrm{lep}}^{{D}^{*}\ensuremath{\pi}}=0.049\ifmmode\pm\else\textpm\fi{}\phantom{\rule{0ex}{0ex}}0.042\ifmmode\pm\else\textpm\fi{}0.015$,${a}^{D\ensuremath{\rho}}=\ensuremath{-}0.024\ifmmode\pm\else\textpm\fi{}0.031\ifmmode\pm\else\textpm\fi{}0.009$, ${c}_{\mathrm{lep}}^{D\ensuremath{\rho}}=\ensuremath{-}0.098\ifmmode\pm\else\textpm\fi{}0.055\ifmmode\pm\else\textpm\fi{}0.018$, where the first error is statistical and the second is systematic. Using other measurements and theoretical assumptions, we interpret the results in terms of the angles of the Cabibbo-Kobayashi-Maskawa unitarity triangle and find $|\mathrm{sin}(2\ensuremath{\beta}+\ensuremath{\gamma})|>0.64\text{ }\text{ }(0.40)$ at 68% (90%) confidence level.

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