  Neutrinoless double-beta decay represents the most promising approach for
revealing some of the most important, yet-unknown, properties of neutrinos
related to their absolute masses and their nature. This transition involves
beyond standard model theories that predict the violation of the lepton number
conservation by two units. There is no experimental confirmation yet for this
decay, but new experiments have set lower-limits for the associated half-lives
in the case of several isotopes. Using an effective field theory that describes
this transition, we calculate half-life ratios for five experimentally
interesting isotopes in the case of 12 lepton number violating couplings. These
half-life ratios can be used to probe the sensitivity of the five isotopes in
relation to their respective mechanisms, to predict the half-life limits needed
to match the different experimental results, and in the case of experimental
confirmation, these ratios could possibly indicate the dominant mechanism of
the transition. We provide an analysis that could reveal valuable information
regarding the dominant neutrinoless double-beta decay mechanism, if
experimental half-life data becomes available for different isotopes.
