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Lepton flavor violating Higgs decays could appear in scenarios beyond the Standard Model of particle physics. In this article, we study the sensitivity of a future Compact Linear Collider (CLIC) to such processes, namely, , , and . In the absence of any observation, 95% CL\ upper limits in the region of to could be placed on the branching fractions of these processes, assuming integrated luminosities of ,ab at TeV and ,ab at TeV.

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