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A high precision calibration of the nonlinearity in the energy response ofthe Daya Bay Reactor Neutrino Experiment's antineutrino detectors is presentedin detail. The energy nonlinearity originates from the particle-dependent lightyield of the scintillator and charge-dependent electronics response. Thenonlinearity model is constrained by $\gamma$ calibration points from deployedand naturally occurring radioactive sources, the $\beta$ spectrum from $^{12}$Bdecays, and a direct measurement of the electronics nonlinearity with a newflash analog-to-digital converter readout system. Less than 0.5% uncertainty inthe energy nonlinearity calibration is achieved for positrons of kineticenergies greater than 1 MeV.

A high precision calibration of the nonlinear energy response at Daya Bay