Neutrinoless double beta decay and neutrino mass
J.D. Vergados (University of Ioannina, Ioannina, Greece), H. Ejiri, (RCNP, Osaka University, Osaka, Japan), F \v{S}imkovic (Laboratory of, Theoretical Physics, JINR, Dubna, Moscow Russia)

TL;DR
Detecting neutrinoless double beta decay would confirm that neutrinos are Majorana particles, violate lepton number conservation, and help determine the absolute neutrino mass scale, but requires overcoming significant experimental and theoretical challenges.
Contribution
This review highlights recent advances in nuclear structure calculations and discusses the impact of nuclear physics uncertainties on interpreting neutrinoless double beta decay data.
Findings
Nuclear matrix element calculations are crucial for interpreting decay data.
Quenching of the axial vector coupling constant affects nuclear matrix element estimates.
Experimental detection requires large, low-background, isotopically enriched sources.
Abstract
The observation of neutrinoless double beta decay will have important consequences. First it will signal that lepton number is not conserved and the neutrinos are Majorana particles. Second, it represents our best hope for determining the absolute neutrino mass scale at the level of a few tens of meV. To achieve the last goal, however, certain hurdles have to be overcome involving particle, nuclear and experimental physics. Particle physics is important since it provides the mechanisms for neutrinoless double beta decay. In this review we emphasize the light neutrino mass mechanism. Nuclear physics is important for extracting the useful information from the data. One must accurately evaluate the relevant nuclear matrix elements, a formidable task. To this end, we review the recently developed sophisticated nuclear structure approaches, employing different methods and techniques of…
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