Observation of direct CP violation in the measurement of the Cabibbo-Kobayashi-Maskawa angle gamma with B-+/- -> Dd(()*()) K-(*()+/-) decays

We report the determination of the Cabibbo-Kobayashi-Maskawa CP-violating angle gamma through the combination of various measurements involving B-+/- -> DK +/-, B-+/- -> D*K-+/-, and B-+/- -> DK*(+/-) decays performed by the BABAR experiment at the PEP-II e(+)e(-) collider at SLAC National Accelerator Laboratory. Using up to 474 million B (B) over bar pairs, we obtain gamma = (69(-16)(+17))degrees modulo 180 degrees. The total uncertainty is dominated by the statistical component, with the experimental and amplitude-model systematic uncertainties amounting to +/- 4 degrees. The corresponding two-standard-deviation region is 41 degrees < gamma < 102 degrees. This result is inconsistent with gamma = 0 with a significance of 5.9 standard deviations.