Neutrinoless Double Beta Decay: 2015 Review by Stefano Dell’Oro, Simone Marcocci, Matteo Viel, Francesco Vissani

“…The discovery of neutrino masses through the observation of oscillations boosted the importance of neutrinoless double beta decay (0νββ). In this paper, we review the main features of this process, underlining its key role from both the experimental and theoretical point of view. …”
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Tests of Lorentz Symmetry in Single Beta Decay by Jorge S. Díaz

“…Low-energy experiments studying single beta decay can serve as sensitive probes of Lorentz invariance that can complement interferometric searches for deviations from this spacetime symmetry. …”
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The MAJORANA DEMONSTRATOR Neutrinoless Double-Beta Decay Experiment by N. Abgrall, E. Aguayo, F. T. Avignone, A. S. Barabash, F. E. Bertrand, M. Boswell, V. Brudanin, M. Busch, A. S. Caldwell, Y.-D. Chan, C. D. Christofferson, D. C. Combs, J. A. Detwiler, P. J. Doe, Yu. Efremenko, V. Egorov, H. Ejiri, S. R. Elliott, J. Esterline, J. E. Fast, P. Finnerty, F. M. Fraenkle, A. Galindo-Uribarri, G. K. Giovanetti, J. Goett, M. P. Green, J. Gruszko, V. E. Guiseppe, K. Gusev, A. L. Hallin, R. Hazama, A. Hegai, R. Henning, E. W. Hoppe, S. Howard, M. A. Howe, K. J. Keeter, M. F. Kidd, A. Knecht, O. Kochetov, S. I. Konovalov, R. T. Kouzes, B. D. LaFerriere, J. Leon, L. E. Leviner, J. C. Loach, P. N. Luke, S. MacMullin, R. D. Martin, S. Mertens, L. Mizouni, M. Nomachi, J. L. Orrell, C. O'Shaughnessy, N. R. Overman, David Phillips, A. W. P. Poon, K. Pushkin, D. C. Radford, K. Rielage, R. G. H. Robertson, M. C. Ronquest, A. G. Schubert, B. Shanks, T. Shima, M. Shirchenko, K. J. Snavely, N. Snyder, D. Steele, J. Strain, A. M. Suriano, J. Thompson, V. Timkin, W. Tornow, R. L. Varner, S. Vasilyev, K. Vetter, K. Vorren, B. R. White, J. F. Wilkerson, T. Williams, W. Xu, E. Yakushev, A. R. Young, C.-H. Yu, V. Yumatov

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Generalized Solutions of the Dirac Equation, W Bosons, and Beta Decay by Andrzej Okniński

“…It is argued that these solutions describe decay of a virtual W boson in beta decay.…”
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Macroscopic neutrinoless double beta decay: Long range quantum coherence by Gordon Baym, Jen-Chieh Peng

“…We re-introduce, in light of our modern understanding of neutrinos, the concept of “macroscopic neutrinoless double beta decay” (MDBD) for Majorana neutrinos. In this process an antineutrino produced by a nucleus undergoing beta decay, X→Y+e−+ν¯e, is absorbed as a neutrino by another identical X nucleus via the inverse beta decay reaction, νe+X→e−+Y. …”
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Getting Information on |Ue3|2 from Neutrinoless Double Beta Decay by Alexander Merle, Werner Rodejohann

“…We consider the possibility to gain information on the lepton mixing matrix element |Ue3| from an improved experimental limit on the effective neutrino mass governing neutrinoless double beta decay. We show that typically a lower limit on |Ue3| as a function of the smallest neutrino mass can be set. …”
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Warm Dark Matter Sterile Neutrinos in Electron Capture and Beta Decay Spectra by O. Moreno, E. Moya de Guerra, M. Ramón Medrano

“…We briefly review the motivation to search for sterile neutrinos in the keV mass scale, as dark matter candidates, and the prospects to find them in beta decay or electron capture spectra, with a global perspective. …”
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Constraints on Light Neutrino Parameters Derived from the Study of Neutrinoless Double Beta Decay by Sabin Stoica, Andrei Neacsu

“…Our results may be useful to have an updated image on the present neutrino mass sensitivities associated with 0νββ measurements for different isotopes and to better estimate the range of values of the neutrino masses that can be explored in the future double beta decay (DBD) experiments.…”
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Observation of a rare beta decay of the charmed baryon with a Graph Neural Network by The BESIII Collaboration

“…Abstract The beta decay of the lightest charmed baryon $${\Lambda }_{c}^{+}$$ Λ c + provides unique insights into the fundamental mechanism of strong and electro-weak interactions, serving as a testbed for investigating non-perturbative quantum chromodynamics and constraining the Cabibbo-Kobayashi-Maskawa (CKM) matrix parameters. …”
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Neutrinoless double beta decay from scalar leptoquarks: interplay with neutrino mass and flavor physics by P. S. Bhupal Dev, Srubabati Goswami, Chayan Majumdar, Debashis Pachhar

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The 0ν2β-decay CROSS experiment: preliminary results and prospects by The CROSS collaboration, I. C. Bandac, A. S. Barabash, L. Bergé, M. Brière, C. Bourgeois, P. Carniti, M. Chapellier, M. de Combarieu, I. Dafinei, F. A. Danevich, N. Dosme, D. Doullet, L. Dumoulin, F. Ferri, A. Giuliani, C. Gotti, P. Gras, E. Guerard, A. Ianni, H. Khalife, S. I. Konovalov, E. Legay, P. Loaiza, P. de Marcillac, S. Marnieros, C. A. Marrache-Kikuchi, C. Nones, V. Novati, E. Olivieri, C. Oriol, G. Pessina, D. V. Poda, T. Redon, V. I. Tretyak, V. I. Umatov, M. M. Zarytsky, A. S. Zolotarova

Subjects: “…Dark Matter and Double Beta Decay (experiments)…”
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Lower Mass Bound on the W′ Mass via Neutrinoless Double Beta Decay in a 3-3-1 Model by A. C. O. Santos, P. Vasconcelos

“…The discovery of neutrino masses has raised the importance of studies in the context of neutrinoless double beta decay (0νββ), which constitutes a landmark for lepton number violation (LNV). …”
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High Scale Type-II Seesaw, Dominant Double Beta Decay within Cosmological Bound and LFV Decays in SU(‎5) by M. K. Parida, Rajesh Satpathy

“…Besides predicting verifiable LFV decays, we further show that the model predicts dominant double beta decay with normal hierarchy or inverted hierarchy of active light neutrino masses in concordance with cosmological bound. …”
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A CaMoO4 Crystal Low Temperature Detector for the AMoRE Neutrinoless Double Beta Decay Search by G. B. Kim, S. Choi, F. A. Danevich, A. Fleischmann, C. S. Kang, H. J. Kim, S. R. Kim, Y. D. Kim, Y. H. Kim, V. A. Kornoukhov, H. J. Lee, J. H. Lee, M. K. Lee, S. J. Lee, J. H. So, W. S. Yoon

“…We report the development of a CaMoO4 crystal low temperature detector for the AMoRE neutrinoless double beta decay (0νββ) search experiment. The prototype detector cell was composed of a 216 g CaMoO4 crystal and a metallic magnetic calorimeter. …”
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Axion-like relics: new constraints from old comagnetometer data by Itay M. Bloch, Yonit Hochberg, Eric Kuflik, Tomer Volansky

Subjects: “…Dark Matter and Double Beta Decay (experiments)…”
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First demonstration of a TES based cryogenic Li $$_2$$ 2 MoO $$_4$$ 4 detector for neutrinoless double beta decay search by G. Bratrud, C. L. Chang, R. Chen, E. Cudmore, E. Figueroa-Feliciano, Z. Hong, K. T. Kennard, S. Lewis, M. Lisovenko, L. O. Mateo, V. Novati, V. Novosad, E. Oliveri, R. Ren, J. A. Scarpaci, B. Schmidt, G. Wang, L. Winslow, V. G. Yefremenko, J. Zhang, D. Baxter, M. Hollister, C. James, P. Lukens, D. J. Temples

“…Abstract Cryogenic calorimetric experiments to search for neutrinoless double-beta decay ( $$0\nu \beta \beta $$ 0 ν β β ) are highly competitive, scalable and versatile in isotope. …”
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Significance of Broken μ−τ Symmetry in Correlating δCP, θ13, Lightest Neutrino Mass, and Neutrinoless Double Beta Decay 0νββ by Gayatri Ghosh

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Neutrino Mass from Cosmology by Julien Lesgourgues, Sergio Pastor

“…In this contribution we summarize the main aspects of cosmological relic neutrinos, and we describe how the precision of present cosmological data can be used to learn about neutrino properties, in particular their mass, providing complementary information to beta decay and neutrinoless double-beta decay experiments. …”
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Deviations From μ‐τ Symmetry Using Δ27 Group on Neutrino Masses and Mixings by Ph. Wilina, N. Nimai Singh

“…The model further predicts effective neutrino masses for neutrinoless double beta decay, 4.15 meV≤mee≤30.6 meV; tritium beta decay, 8.4 meV≤mβ≤30.5 meV; Jarlskog invariant, JCP=±0.022 for CP violation; baryon asymmetry YB=1.15×10−10 for normal hierarchical case; and also 49.5 meV≤mee≤51.7 meV, 49.5 meV≤mβ≤51.4 meV, JCP=±0.022, and YB=1.12×10−10 for inverted hierarchical case, respectively.…”
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Status of the GERDA Experiment at the Laboratori Nazionali del Gran Sasso by R. Brugnera, A. Garfagnini

“…Measurements on two-neutrino double beta decay (2νββ) giving T1/22ν=(1.88±0.10)×1021 yr and recently published background model and pulse shape performances of the detectors are discussed in the paper. …”
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