Measurement of the inclusive branching fractions for \({B}_{s}^{0}\) decays into D mesons via hadronic tagging

We report measurements of the absolute branching fractions \(\mathcal{B}\left({B}_{s}^{0}\to {D}_{s}^{\pm }X\right)\), \(\mathcal{B}\left({B}_{s}^{0}\to {D}^{0}/{\overline{D} }^{0}X\right)\), and \(\mathcal{B}\left({B}_{s}^{0}\to {D}^{\pm }X\right)\), where the latter is measured for the first time. The results are based on a 121.4 fb⁻¹ data sample collected at the Υ(10860) resonance by the Belle detector at the KEKB asymmetric-energy e⁺e⁻ collider. We reconstruct one \({B}_{s}^{0}\) meson in \({e}^{+}{e}^{-}\to \Upsilon\left(10860\right)\to {B}_{s}^{*}{\overline{B} }_{s}^{*}\) events and measure yields of \({D}_{s}^{+}\), D⁰, and D⁺ mesons in the rest of the event. We obtain \(\mathcal{B}\left({B}_{s}^{0}\to {D}_{s}^{\pm }X\right)=\left(68.6\pm 7.2\pm 4.0\right)\%\), \(\mathcal{B}\left({B}_{s}^{0}\to {D}^{0}/{\overline{D} }^{0}X\right)=\left(21.5\pm 6.1\pm 1.8\right)\%\), and \(\mathcal{B}\left({B}_{s}^{0}\to {D}^{\pm }X\right)=\left(12.6\pm 4.6\pm 1.3\right)\%\), where the first uncertainty is statistical and the second is systematic. Averaging with previous Belle measurements gives \(\mathcal{B}\left({B}_{s}^{0}\to {D}_{s}^{\pm }X\right)=\left(63.4\pm 4.5\pm 2.2\right)\%\) and \(\mathcal{B}\left({B}_{s}^{0}\to {D}^{0}/{\overline{D} }^{0}X\right)=\left(23.9\pm 4.1\pm 1.8\right)\%\). For the \({B}_{s}^{0}\) production fraction at the Υ(10860), we find \({f}_{s}=\left({21.4}_{-1.7}^{+1.5}\right)\%\).