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# Measurement of the absolute branching fraction of the inclusive decay $D_s^+\to \pi^+\pi^+\pi^- X$

...+586
Dec 2022

Using an $e^+ e^-$ collision data sample with a total integrated luminosityof $3.19$ fb$^{-1}$ collected with the BESIII detector at a center-of-massenergy of 4.178 GeV, the branching fraction of the inclusive decay of the$D_s^+$ meson to final states including at least three charged pions ismeasured for the first time to be ${\cal B}(D_s^+\to\pi^+ \pi^+ \pi^- X) =(32.81 \pm 0.35_{\rm stat} \pm {0.82_{\rm syst}})\%$. In this measurement thecharged pions from $K_S^0$ meson decays are excluded. The partial branchingfractions of $D_s^+\to\pi^+ \pi^+ \pi^- X$ are also measured as a function ofthe $\pi^+ \pi^+ \pi^-$ invariant mass.

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