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We report a new result of the temperature-dependent average energy expendedper electron-hole (e-h) pair, $\varepsilon$, for germanium detectors. Applyingenergy partition mechanism in ionization for a given energy deposition, theFano factor and the value of $\varepsilon$ can be determined separately.Subsequently, we illustrate the variation of $\varepsilon$ as a function oftemperature. The impact of $\varepsilon$ on the energy threshold and energyscale for germanium detectors at a given temperature is evaluated. Wedemonstrate an absolute energy scale function of low-energy recoils forgermanium detectors in the direct detection of dark matter particles.

Average Energy Expended Per e-h Pair and Energy Scale Function for Germanium-Based Dark Matter Experiments