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.