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Millicharged particles (MCPs) arise in many well-motivated extensions of theStandard Model and are a popular subject for experimental searches. Weinvestigate attenuation of the MCP flux produced at accelerator experiments dueto their interactions in the media. Considering, as an example, the dedicatedMCP search at SLACmQ, we demonstrate that this effect can significantly affectthe final sensitivity to the MCP parameter space leaving its essential partstill unexplored. Applying our analysis to the SLACmQ experiment [53], wecorrect their exclusion bounds in close accordance with Ref. [54]. We also showthat this newly reopened area with the MCP masses in the range $10^{-4}$ eV -$1$ GeV and charges $\gtrsim 10^{-5} e$ can be effectively probed by theNA64$e$ experiment at the CERN SPS. Light MCPs are mostly produced by virtualphoton in electron scattering off nucleus. The main source of heavy MCP isdecays of vector mesons, produced by the electrons on nuclei.

Passage of millicharged particles in the electron beam-dump: refining constraints from SLACmQ and estimating sensitivity of NA64e