Few active mechanisms of the neutrinoless double beta-decay and effective mass of Majorana neutrinos

Abstract

It is well known that there exist many mechanisms that may contribute to neutrinoless double beta decay (0nbb-decay). By exploiting the fact that the associated nuclear matrix elements are target dependent we show that, given definite experimental results on a sufficient number of targets, one can determine or sufficiently constrain all lepton violating parameters including the mass term. As a specific example we show that, assuming the observation of the 0nbb-decay in three different nuclei, e.g., 76Ge, 100Mo and 130Te, and just three lepton number violating mechanisms (light and heavy neutrino mass mechanisms as well as R-parity breaking SUSY mechanism) being active, there are only four different solutions for the lepton violating parameters, provided that they are relatively real. In particular, assuming evidence of the 0nbb-decay of 76Ge, the effective neutrino Majorana mass |m_bb| can be almost uniquely extracted by utilizing other existing constraints (cosmological observations and tritium beta-decay experiments). We also point out the possibility that the non-observation of the 0nbb-decay for some isotopes could be in agreement with a value of |m_bb| in sub eV region. We thus suggest that it is important to have at least two different 0nbb-decay experiments for a given nucleus.

5 pages, 2 figures

References in corpus (5)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Pinning down the mechanism of neutrinoless double beta decay with measurements in different nuclei
• Quasiparticle random phase approximation uncertainties and their correlations in the analysis of neutrinoless double beta decay

Cited by in corpus (10)

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• Left-Right Symmetry: from LHC to Neutrinoless Double Beta Decay
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Recent Progress in Double Beta Decay
• Uncovering Multiple CP-Nonconserving Mechanisms of $\betabeta$-Decay
• Unraveling the $0\nu \beta \beta$ Decay Mechanisms
• ${\mathbf{\mu }}^{-}$- ${\mathbf{e}}^{+}$ conversion in upcoming LFV experiments
• Nuclear matrix elements of neutrinoless double-beta decay in covariant density functional theory with different mechanisms
• Interplay between non-interfering neutrino exchange mechanisms and nuclear matrix elements in $0\nu \beta \beta$ decay
• Ab initio short-range nuclear matrix elements for neutrinoless double-beta decay