Effective Majorana Mass and Neutrinoless Double Beta Decay

Abstract

The probability distribution for the effective Majorana mass as a function of the lightest neutrino mass in the standard three neutrino scheme is computed via a random sampling from the distributions of the involved mixing angles and squared mass diffences. A flat distribution in the [0,2pi] range for the Majorana phases is assumed, and the dependence of small values of the effective mass on the Majorana phases is highlighted. The study is then extended with the addition of the cosmological bound on the sum of the neutrino masses. Finally, the prospects for neutrinoless double beta decay search with 76Ge, 130Te and 136Xe are discussed, as well as those for the measurement of the electron neutrino mass.

9 pages, 14 figures, 3 tables

References in corpus (7)

• Big-Bang Nucleosynthesis
• Phase space factors for double-$\beta$ decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• Nuclear matrix elements for double-β decay
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• HOLMES - The Electron Capture Decay of 163Ho to Measure the Electron Neutrino Mass with sub-eV sensitivity
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• Extracting Majorana Properties in the Throat of Neutrinoless Double Beta Decay
• Kiloton-scale xenon detectors for neutrinoless double beta decay and other new physics searches
• Formulae for flavour neutrino masses and its application to texture two zeros
• The effective neutrino mass of neutrinoless double-beta decays: how possible to fall into a well
• Effective neutrino masses in KATRIN and future tritium beta-decay experiments
• Impact of an eV-mass sterile neutrino on the neutrinoless double-beta decays: a Bayesian analysis
• Why three generations?
• Half-life Expectations for Neutrinoless Double Beta Decay in Standard and Non-Standard Scenarios
• Viable Chaotic Inflation as a Source of Neutrino Masses and Leptogenesis
• One-loop radiative seesaw dark matter and neutrinoless double beta decay with two zero flavor neutrino mass texture
• Empirical inference on the Majorana mass of the ordinary neutrinos
• The Exposure-Background Duality in the Searches of Neutrinoless Double Beta Decay
• Another look at the impact of an eV-mass sterile neutrino on the effective neutrino mass of neutrinoless double-beta decays
• Roles of sterile neutrinos in particle physics and cosmology
• Seesaw model and two zero flavor neutrino texture
• Discovery probabilities of Majorana neutrinos based on cosmological data
• Probability Densities of the effective neutrino masses $m_{\beta }$ and $m_{\beta \beta }$
• Required sensitivity to search the neutrinoless double beta decay in ${}^{124}Sn$
• Inference of neutrino nature and Majorana CP phases from $0\nu \beta \beta$ decays with inverted mass ordering
• Measurement of the $2\nu \beta \beta$ decay rate and spectral shape of ${}^{100}$Mo from the CUPID-Mo experiment
• Radiative neutrino masses: A window to new physics