Measurement ofCPviolation inB0→D*−π+andB0→D−π+decays
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Abstract
We report measurements of time-dependent decay rates for ${B}^{0}\ensuremath{\rightarrow}{D}^{(*)\ensuremath{-}}{\ensuremath{\pi}}^{+}$ decays and extraction of $CP$ violation parameters that depend on ${\ensuremath{\phi}}_{3}$. Using fully reconstructed ${D}^{(*)}\ensuremath{\pi}$ events and partially reconstructed ${D}^{*}\ensuremath{\pi}$ events from a data sample that contains $386\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ pairs that was collected near the $\ensuremath{\Upsilon}(4S)$ resonance, with the Belle detector at the KEKB asymmetric energy ${e}^{+}{e}^{\ensuremath{-}}$ collider, we obtain the $CP$ violation parameters ${S}^{+}({D}^{(*)}\ensuremath{\pi})$ and ${S}^{\ensuremath{-}}({D}^{(*)}\ensuremath{\pi})$. We obtain ${S}^{+}({D}^{*}\ensuremath{\pi})=0.049\ifmmode\pm\else\textpm\fi{}0.020(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.011(\mathrm{sys})$, ${S}^{\ensuremath{-}}({D}^{*}\ensuremath{\pi})=0.031\ifmmode\pm\else\textpm\fi{}0.019(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.011(\mathrm{sys})$, and ${S}^{+}(D\ensuremath{\pi})=0.031\ifmmode\pm\else\textpm\fi{}0.030(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.012(\mathrm{sys})$, ${S}^{\ensuremath{-}}(D\ensuremath{\pi})=0.068\ifmmode\pm\else\textpm\fi{}0.029(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.012(\mathrm{sys})$. These results are an indication of $CP$ violation in ${B}^{0}\ensuremath{\rightarrow}{D}^{*\ensuremath{-}}{\ensuremath{\pi}}^{+}$ and ${B}^{0}\ensuremath{\rightarrow}{D}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ decays at the $2.5\ensuremath{\sigma}$ and $2.2\ensuremath{\sigma}$ levels, respectively. If we use the values of ${R}_{{D}^{(*)}\ensuremath{\pi}}$ that are derived using assumptions of factorization and SU(3) symmetry, branching fraction measurements for the $B\ensuremath{\rightarrow}{D}_{s}^{(*)}\ensuremath{\pi}$ modes, and lattice QCD calculations, we can restrict the allowed region of $|\mathrm{sin}(2{\ensuremath{\phi}}_{1}+{\ensuremath{\phi}}_{3})|$ to be above 0.44 and 0.52 at 68% confidence level from the ${D}^{*}\ensuremath{\pi}$ and $D\ensuremath{\pi}$ modes, respectively.
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