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Abstract
A direct discovery of lepton flavor violation (LFV) at colliders would be a smoking gun for new physics, since such processes are highly suppressed in the Standard Model. In this talk, LFV transitions in tau decays will be discussed, with a particular focus on τ→μ channels. The first part will introduce the theoretical framework, including the main phenomenological motivations and representative new physics scenarios that can lead to observable effects. The second part will present the recent results from the LHCb experiment on the search for the decay τ→μμμ, focusing on the determination of the upper limit on its branching fraction using Run 2 data, and discussing the prospects for improved sensitivity in Run 3.
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