Measurement of the cosmogenic activation of germanium detectors in EDELWEISS-III

We present a measurement of the cosmogenic activation in the germanium cryogenic detectors of the EDELWEISS III direct dark matter search experiment. The decay rates measured in detectors with different exposures to cosmic rays above ground are converted into production rates of different isotopes. The measured production rates in units of nuclei/kg/day are 82 $pm$ 21 for $^3$H, 2.8 $pm$ 0.6 for $^{49}$V, 4.6 $pm$ 0.7 for $^{55}$Fe, and 106 $pm$ 13 for $^{65}$Zn. These results are the most accurate for these isotopes. A lower limit on the production rate of $^{68}$Ge of 74 nuclei/kg/day is also presented. They are compared to model predictions present in literature and to estimates calculated with the ACTIVIA code.