Observation of directCPviolation in the measurement of the Cabibbo-Kobayashi-Maskawa angleγwithB±→D(*)K(*)±decays

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Abstract

We report the determination of the Cabibbo-Kobayashi-Maskawa $CP$-violating angle $\ensuremath{\gamma}$ through the combination of various measurements involving ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}D{K}^{\ifmmode\pm\else\textpm\fi{}}$, ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{D}^{*}{K}^{\ifmmode\pm\else\textpm\fi{}}$, and ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}D{K}^{*\ifmmode\pm\else\textpm\fi{}}$ decays performed by the BABAR experiment at the PEP-II ${e}^{+}{e}^{\ensuremath{-}}$ collider at SLAC National Accelerator Laboratory. Using up to 474 million $B\overline{B}$ pairs, we obtain $\ensuremath{\gamma}=({69}_{\ensuremath{-}16}^{+17})\ifmmode^\circ\else\textdegree\fi{}$ modulo 180\ifmmode^\circ\else\textdegree\fi{}. The total uncertainty is dominated by the statistical component, with the experimental and amplitude-model systematic uncertainties amounting to $\ifmmode\pm\else\textpm\fi{}4\ifmmode^\circ\else\textdegree\fi{}$. The corresponding two-standard-deviation region is $41\ifmmode^\circ\else\textdegree\fi{}<\ensuremath{\gamma}<102\ifmmode^\circ\else\textdegree\fi{}$. This result is inconsistent with $\ensuremath{\gamma}=0$ with a significance of 5.9 standard deviations.

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