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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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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Majorana phases beyond neutrinoless double beta decay by Avital Dery, Stefania Gori, Yuval Grossman, Zoltan Ligeti

“…One combination of these phases and the neutrino masses, often denoted by m ee , is probed by neutrinoless double beta decays (0νββ). We explore what information may be obtained beyond 0νββ, and how it depends on the lightest neutrino mass. …”
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Neutrinoless double beta decay without vacuum Majorana neutrino mass by Lukáš Gráf, Sudip Jana, Oliver Scholer, Nele Volmer

“…We present a proof-of-concept extension to the Standard Model that can generate a non-vanishing neutrinoless double beta decay (0νββ) signal without the existence of Majorana neutrinos or lepton number violation in the zero-density vacuum-ground-state Lagrangian. …”
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Neutrinoless double beta decay rates in the presence of light sterile neutrinos by W. Dekens, J. de Vries, D. Castillo, J. Menéndez, E. Mereghetti, V. Plakkot, P. Soriano, G. Zhou

“…Abstract We investigate neutrinoless double-beta decay (0νββ) in minimal extensions of the Standard Model of particle physics where gauge-singlet right-handed neutrinos give rise to Dirac and Majorana neutrino mass terms. …”
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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. …”
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Getting Information on |Ue3|2 from Neutrinoless Double Beta Decay by Alexander Merle, Werner Rodejohann

“…Moreover, we show that a measurement of |Ue3| from neutrinoless double beta decay is very difficult due to the expected errors on the effective mass and the oscillation parameters.…”
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Probing the nature of Heavy Neutral Leptons in direct searches and neutrinoless double beta decay by Patrick D. Bolton, Frank F. Deppisch, Mudit Rai, Zhong Zhang

“…Future direct searches, such as fixed target setups like DUNE, and neutrinoless double beta decay are both expected to probe the regime of active-sterile neutrino mixing in a standard Seesaw scenario of neutrino mass generation for HNL masses around mN≲1 GeV. …”
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Constraints on Light Neutrino Parameters Derived from the Study of Neutrinoless Double Beta Decay by Sabin Stoica, Andrei Neacsu

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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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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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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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Neutrinoless double beta decay in the minimal type-I seesaw model: mass-dependent nuclear matrix element, current limits and future sensitivities by Dong-Liang Fang, Yu-Feng Li, Yi-Yu Zhang, Jing-yu Zhu

“…Abstract In this work we discuss the neutrino mass dependent nuclear matrix element (NME) of the neutrinoless double beta decay process and derive the limit on the parameter space of the minimal Type-I seesaw model from the current available experimental data as well as the future sensitivities from the next-generation 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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Ion Manipulation from Liquid Xe to Vacuum: Ba-Tagging for a nEXO Upgrade and Future 0<i>νββ</i> Experiments by Dwaipayan Ray, Robert Collister, Hussain Rasiwala, Lucas Backes, Ali V. Balbuena, Thomas Brunner, Iroise Casandjian, Chris Chambers, Megan Cvitan, Tim Daniels, Jens Dilling, Ryan Elmansali, William Fairbank, Daniel Fudenberg, Razvan Gornea, Giorgio Gratta, Alec Iverson, Anna A. Kwiatkowski, Kyle G. Leach, Annika Lennarz, Zepeng Li, Melissa Medina-Peregrina, Kevin Murray, Kevin O’Sullivan, Regan Ross, Raad Shaikh, Xiao Shang, Joseph Soderstrom, Victor Varentsov, Liang Yang

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Fluorescence imaging of individual ions and molecules in pressurized noble gases for barium tagging in 136Xe by N. K. Byrnes, E. Dey, F. W. Foss, B. J. P. Jones, R. Madigan, A. D. McDonald, R. L. Miller, L. R. Norman, K. E. Navarro, D. R. Nygren, NEXT Collaboration

“…Abstract The imaging of individual Ba2+ ions in high pressure xenon gas is one possible way to attain background-free sensitivity to neutrinoless double beta decay and hence establish the Majorana nature of the neutrino. …”
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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. We show how the analysis of current cosmological observations, such as the anisotropies of the cosmic microwave background or the distribution of large-scale structure, provides an upper bound on the sum of neutrino masses of order 1 eV or less, with very good perspectives from future cosmological measurements which are expected to be sensitive to neutrino masses well into the sub-eV range.…”
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Neutrino mass experiments: Current and future by Thorne Larisa A.

“…Currently, there are four measurement approaches: using cosmological models, inference from time-of-arrival from supernovae, through observation of neutrinoless double beta decay, and the kinematics of weak decay processes. …”
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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

“…Abstract Neutrinoless double-beta decay is a key process in particle physics. …”
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