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We present the results of measurements demonstrating the efficiency of theEDELWEISS-III array of cryogenic germanium detectors for direct dark mattersearches. The experimental setup and the FID (Fully Inter-Digitized) detectorarray is described, as well as the efficiency of the double measurement of heatand ionization signals in background rejection. For the whole set of 24 FIDdetectors used for coincidence studies, the baseline resolutions for thefiducial ionization energy are mainly below 0.7 keV$_{ee}$ (FHWM) whereas thebaseline resolutions for heat energies are mainly below 1.5 keV$_{ee}$ (FWHM).The response to nuclear recoils as well as the very good discriminationcapability of the FID design has been measured with an AmBe source. The surface$\beta$- and $\alpha$-decay rejection power of $R_{\rm surf} < 4 \times10^{-5}$ per $\alpha$ at 90% C.L. has been determined with a $^{210}$Pb source,the rejection of bulk $\gamma$-ray events has been demonstrated using$\gamma$-calibrations with $^{133}$Ba sources leading to a value of$R_{\gamma{\rm -mis-fid}} < 2.5 \times 10^{-6}$ at 90% C.L.. The current levelsof natural radioactivity measured in the detector array are shown as the rateof single $\gamma$ background. The fiducial volume fraction of the FIDdetectors has been measured to a weighted average value of $(74.6 \pm 0.4)\%$using the cosmogenic activation of the $^{65}$Zn and $^{68,71}$Ge isotopes. Thestability and uniformity of the detector response is also discussed. Theachieved resolutions, thresholds and background levels of the upgradedEDELWEISS-III detectors in their setup are thus well suited to the directsearch of WIMP dark matter over a large mass range.

Performance of the EDELWEISS-III experiment for direct dark matter searches