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A<sc>bstract</sc> We present the result of a search for the charged-lepton-flavor violating decayτ−→μ−μ+μ−using a 424 fb−1sample of data recorded by the Belle II experiment at the SuperKEKBe+e−collider. The selection ofe+e−→τ+τ−events is based on an inclusive reconstruction of the non-signal tau decay, and on a boosted decision tree to suppress background. We observe one signal candidate, which is compatible with the expectation from background processes. We set a 90% confidence level upper limit of 1.9×10−8on the branching fraction of theτ−→ μ−μ+μ−decay, which is the most stringent bound to date.more » « less
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