Precise measurement of $2\nu \beta \beta $ decay of $^{100}$Mo with the CUPID-Mo detection technology

We report the measurement of the two-neutrino double-beta (2νββ) decay of $^{100}$Mo to the ground state of $^{100}$Ru using lithium molybdate (Li$_{2}$$^{100}$MoO$_{4}$) scintillating bolometers. The detectors were developed for the CUPID-Mo program and operated at the EDELWEISS-III low background facility in the Modane underground laboratory (France). From a total exposure of 42.235 kg×day, the half-life of $^{100}$Mo is determined to be T2ν¦(1/2)=[7.12(+0.18)¦(-0.14) (stat.)±0.10(syst.)]×10$^{18}$ years. This is the most accurate determination of the 2νββ half-life of $^{100}$Mo to date.