In this LOI we propose a dedicated experiment that would detect milli-charged particles produced by pp collisions at LHC Point 5. The experiment would be installed during LS2 in the vestigial drainage gallery above UXC and would not interfere with CMS operations. With 300 fb$^{-1}$ of integrated luminosity, sensitivity to a particle with charge $mathcal{O}(10^{-3})~e$ can be achieved for masses of $mathcal{O}(1)$ GeV, and charge $mathcal{O}(10^{-2})~e$ for masses of $mathcal{O}(10)$ GeV, greatly extending the parameter space explored for particles with small charge and masses above 100 MeV.
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