Analysis of Double Beta Decays of $^{100}$Mo to Excited States in CUPID-Mo

CUPID-Mo, located at the Laboratoire Souterrain de Modane, in France was a demonstrator for CUPID, a next generation search for $0 \nu \beta \beta$ in $^{100}$Mo. CUPID-Mo consisted of $20$ $\sim 200$ g Li$_2^{100}$MoO$_4$ scintillating bolometers with 20 Ge light detectors. It has demonstrated excellent crystal radiopurity ($^{238}$U $ ^{232}$Th chains $0.3 - 1$ $\mu Bq/kg$ for relevant isotopes), $\alpha$, $\beta/\gamma$ particle discrimination ($>99.9\%$), and energy resolution ($\sim 7$ keV FWHM at $2615$ keV). CUPID-Mo has placed the leading limit on the half life of $0 \nu \beta \beta$ in $^{100}$Mo of $T_{1/2}^{0 \nu}>1.5 \cdot 10^{24}$ yr with 90\% C.I. In this talk we present the status of analysis of double beta decays of $^{100}$Mo to excited states of $^{100}$Ru. In these decays, the electrons are accompanied by one or more de-excitation gamma lines. Multi-site events provide a very clear experimental spectrum technique to reduce background rates when searching for these gammas.