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A new measurement of the quenching factor for low-energy nuclear recoils inCsI[Na] is presented. Past measurements are revisited, identifying andcorrecting several systematic effects. The resulting global data arewell-described by a physics-based model for the generation of scintillation byions in this material, in agreement with phenomenological considerations. Theuncertainty in the new model is reduced by a factor of four with respect to anenergy-independent quenching factor initially adopted as a compromise by theCOHERENT collaboration. A significantly improved agreement with Standard Modelpredictions for the first measurement of CE$\nu$NS is generated. We emphasizethe critical impact of the quenching factor on the search for new physics viaCE$\nu$NS experiments.

Response of CsI[Na] to Nuclear Recoils: Impact on Coherent Elastic Neutrino-Nucleus Scattering (CE$\nu$NS)