Double beta decay versus cosmology: Majorana CP phases and nuclear matrix elements

Abstract

We discuss the relation between the absolute neutrino mass scale, the effective mass measured in neutrinoless double beta decay, and the Majorana CP phases. Emphasis is placed on estimating the upper bound on the nuclear matrix element entering calculations of the double beta decay half life. Consequently, one of the Majorana CP phases can be constrained when combining the claimed evidence for neutrinoless double beta decay with the neutrino mass bound from cosmology.

11 pages, 3 figures

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• Short-Range Neutrinoless Double Beta Decay Mechanisms
• Quasiparticle random phase approximation uncertainties and their correlations in the analysis of neutrinoless double beta decay
• Constraints on SUSY Seesaw Parameters from Leptogenesis and Lepton Flavor Violation
• Statistical analysis of beta decays and the effective value of g_A in the proton-neutron quasiparticle random-phase approximation framework
• Extracting Majorana Properties in the Throat of Neutrinoless Double Beta Decay
• How to interpret a discovery or null result of the $0\nu 2\beta$ decay
• Statistical Analysis of future Neutrino Mass Experiments including Neutrino-less Double Beta Decay
• Probing the Mechanism of Neutrinoless Double-Beta Decay in Multiple Isotopes
• Constraining Majorana CP Phase in Precision Era of Cosmology and Double Beta Decay Experiment
• Interplay between neutrino magnetic moments and $CP$ violating phases in left-right models
• Least-Informative Priors for $0\nu \beta \beta$ Decay Searches