A complete and improved calculation of phase-space factors for $2\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ and $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ decay is presented. The calculation makes use of exact Dirac wave functions with finite nuclear size and electron screening and includes lifetimes, single and summed electron spectra, and angular electron correlations.

Phase-space factors for double- β decay

Background: Direct determination of the neutrino mass through double-$\ensuremath{\beta}$ decay is at the present time one of the most important areas of experimental and theoretical research in nuclear and particle physicsPurpose: We calculate nuclear matrix elements for the extraction of the average neutrino mass in neutrinoless double-$\ensuremath{\beta}$ decayMethods: The microscopic interacting boson model (IBM-2) is usedResults: Nuclear matrix elements in the closure approximation are calculated for ${}^{48}$Ca, ${}^{76}$Ge, ${}^{82}$Se, ${}^{96}$Zr, ${}^{100}$Mo, ${}^{110}$Pd, ${}^{116}$Cd, ${}^{124}$Sn, ${}^{128}$Te, ${}^{130}$Te, ${}^{148}$Nd, ${}^{150}$Nd, ${}^{154}$Sm, ${}^{160}$Gd, and ${}^{198}$Pt decayConclusions: Realistic predictions for the expected half-lives in neutrinoless double-$\ensuremath{\beta}$ decay with light and heavy neutrino exchange in terms of neutrino masses are made and limits are set from current experiments

Nuclear matrix elements for double- β decay

In this brief review we discuss the generation of Majorana neutrino masses through the see-saw mechanism, the theory of neutrinoless double-beta decay, the implications of neutrino oscillation data for the effective Majorana mass, taking into account the recent Daya Bay measurement of theta_13, and the interpretation of the results of neutrinoless double-beta decay experiments.

pdf/neutrinoless-double-beta-decay-a-brief-review-2eqnwv7mx4.pdf

Neutrinoless double-beta decay. A brief review

In this brief review we discuss the generation of Majorana neutrino masses through the seesaw mechanism, the theory of neutrinoless double-beta decay, the implications of neutrino oscillation data for the effective Majorana mass, taking into account the recent Daya Bay measurement of ϑ13, and the interpretation of the results of neutrinoless double-beta decay experiments.

The simultaneous beta decay of two neutrons in a nucleus without the emission of neutrinos (called neutrinoless double beta decay) is a lepton number violating process which is not allowed in the Standard Model of particle physics. More than a dozen experiments using different candidate isotopes and a variety of detection techniques are searching for this decay. Some (EXO-200, Kamland-Zen, and GERDA) started to take data recently. EXO and Kamland-Zen have reported first limits of the half life for 136Xe. After a decade of little progress in this field, these results start to scrutinize the claim from part of the Heidelberg–Moscow collaboration to have observed this decay. The sensitivities of the different proposals are reviewed.

Status and prospects of searches for neutrinoless double beta decay

Recent advances in the theory of 0 νββ decay are briefly discussed. New (2010) results for the nuclear matrix elements within the framework of the Interacting Boson Model (IBM-2) are presented.

Advances in the theory of 0νββ decay

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Advances in the theory of 0νββ decay