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In this LOI we propose a dedicated experiment that would detect"milli-charged" particles produced by pp collisions at LHC Point 5. Theexperiment would be installed during LS2 in the vestigial drainage galleryabove UXC and would not interfere with CMS operations. With 300 fb$^{-1}$ ofintegrated 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 chargeand masses above 100 MeV.

A Letter of Intent to Install a milli-charged Particle Detector at LHC P5