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We calculate nuclear matrix elements (NME) of neutrinoless double beta decayin four different candidate nuclei (Ge-76, Se-82, Mo-100, Te-130) within thequasiparticle random phase approximation (QRPA) and its uncertainties. Weassume (up to) four coexisting mechanisms for neutrinoless double beta decay,mediated by light Majorana neutrino exchange, heavy Majorana neutrino exchange,R-parity breaking supersymmetry, and squark-neutrino, interfering eitherconstructively or destructively with each other. We find that, unfortunately,current NME uncertainties appear to prevent a robust determination of therelative contribution of each mechanism to the decay amplitude, even assumingaccurate measurements of decay lifetimes. The near-degeneracy of the decaymechanisms is analyzed with simple algebraic techniques, which do not involveassumptions about the statistical distribution of errors. We discussimplications of such degeneracy on prospective searches for absolute neutrinomasses.

Multi-isotope degeneracy of neutrinoless double beta decay mechanisms in the quasi-particle random phase approximation