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According to the "Black Box" theorem the experimental confirmation ofneutrinoless double beta decay ($0 \nu 2 \beta$) would imply that at least oneof the neutrinos is a Majorana particle. However, a null $0 \nu 2 \beta$ signalcannot decide the nature of neutrinos, as it can be suppressed even forMajorana neutrinos. In this letter we argue that if the null $0 \nu 2 \beta$decay signal is accompanied by a $0 \nu 4 \beta$ quadruple beta decay signal,then at least one neutrino should be a Dirac particle. This argument holdsirrespective of the underlying processes leading to such decays.

Can one ever prove that neutrinos are Dirac particles?