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We report a measurement of the inclusive semileptonic $B_s^0$ branchingfraction in a $121~fb^{-1}$ data sample collected near the $\Upsilon(5S)$resonance with the Belle detector at the KEKB asymmetric energy $e^+ e^-$collider. Events containing $B_s^0$ pairs are selected by reconstructing a tagside $D_s^+$ and identifying a signal side lepton $\ell^+$ ($\ell = e, \mu$)that is required to have the same-sign charge to ensure that both originatefrom different $B_s^0$ mesons. The $B_s^0 \rightarrow X^- \ell^+ \nu_\ell$branching fraction is extracted from the ratio of the measured yields of$D_s^+$ mesons and $D_s^+ \ell^+$ pairs and the known production and branchingfractions. The inclusive semileptonic branching fraction is measured to be$[9.6 \pm 0.4\text{(stat)} \pm 0.7\text{(syst)}]~\%$.

Measurement of the inclusive semileptonic branching fraction $\mathcal{B}(B_s^0 \rightarrow X^- \ell^+ \nu_\ell)$ at Belle