Updated Measurement of $\mathcal{B}(B_s\to D_s^{(\ast )+}{D}_s^{(\ast )-})$ and Determination of $\Delta {\Gamma }_s$

Abstract

Using fully reconstructed $B_s$ mesons, we measure exclusive branching fractions for the decays $B_s\to D_s^{(\ast )+}{D}_s^{(\ast )-}$. The results are ${\cal B}(B^0_s\ra D^+_s D^-_s)=(0.58\,^{+0.11}_{-0.09}\,\pm 0.13)%$, ${\cal B}(B^0_s\ra D^{*\pm}_s D^{\mp}_s)=(1.8\, \pm 0.2\,\pm 0.4)%$, and ${\cal B}(B^0_s\ra D^{*+}_s D^{*-}_s)=(2.0\,\pm 0.3\,\pm 0.5)%$; the sum is ${\cal B}(B^0_s\ra D^{(*)+}_s D^{(*)-}_s)=(4.3\,\pm 0.4\,\pm 1.0)%$. Assuming these decay modes saturate decays to CP-even final states, the branching fraction determines the relative width difference between the $B_s$ CP-odd and CP-even eigenstates. Taking \cp\ violation to be negligibly small, we obtain $\dgs/\gs = 0.090\,\pm 0.009\,{\rm(stat.)}\,\pm 0.022 \,{\rm (syst.)}$, where $\gs$ is the mean decay width. The results are based on a data sample collected with the Belle detector at the KEKB $e^{+}{e}^{-}$ collider running at the ${\rm Y}(5S)$ resonance with an integrated luminosity of 121.4 fb${}^{-1}$.

arXiv comment5 pages, 2 figures, 3 tables, for the proceedings of the DPF-2011 conference, Providence, RI, August 9-13, 2011