Nuclear-structure corrections to the hyperfine splitting in muonic deuterium

Nuclear structure corrections of orders $Z\alpha\, E_F$ and $(Z\alpha)^2 E_F$ are calculated for the hyperfine splitting of the muonic deuterium. The obtained results disagree with previous calculations and lead to a $5\,\sigma$ disagreement with the current experimental value of the $2S$ hyperfine splitting in $\mu$D.