Measurement of the \(B→\overline{D}^{(*)}D^{(*)}K\) Branching Fractions

Abstract

We present a measurement of the branching fractions of the 22 decay channels of the (B^0) and (B^+) mesons to (\overline{D}^{()}D^{()}K), where the (D^{()}) and (\overline{D}^{()}) mesons are fully reconstructed. Summing the 10 neutral modes and the 12 charged modes, the branching fractions are found to be (ℬ(B^{0}→\overline{D}^{()}D^{()}K)=(3.68±0.10±0.24)%) and (ℬ(B^{+}→\overline{D}^{()}D^{()}K)=(4.05±0.11±0.28)%), where the first uncertainties are statistical and the second systematic. The results are based on (429 fb^{−1}) of data containing (471×10^{6}B\overline{B}) pairs collected at the (Υ(4S)) resonance with the BABAR detector at the SLAC National Accelerator Laboratory.