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The neutrinoless double-$\beta$ decay is a hypothetical rare nuclear decay, which can be used for determining the neutrino-mass scale. The scheme to use this decay for determining the neutrino-mass scale is one of few limited methods…

Nuclear Theory · Physics 2019-01-23 J. Terasaki

A microscopic state-of-the-art calculation of the nuclear matrix element for neutrinoless double beta decay of $^{150}$Nd with an account for nuclear deformation is performed. The proton-neutron quasiparticle random phase approximation…

Nuclear Theory · Physics 2011-04-28 Dong-Liang Fang , Amand Faessler , Vadim Rodin , Fedor Simkovic

The search for neutrinoless double-beta decay is important in determining the Majorana nature of the neutrino, and also in establishing if lepton number is violated. In this work, we combine the published data from five independent…

High Energy Physics - Experiment · Physics 2015-05-01 Pawel Guzowski

Neutrinoless double beta decay is the most powerful tool to probe not only for Majorana neutrino masses but for lepton number violating physics in general. We discuss relations between lepton number violation, double beta decay and neutrino…

High Energy Physics - Phenomenology · Physics 2015-06-11 Frank F. Deppisch , Martin Hirsch , Heinrich Päs

Assuming mixing of three massive Majorana neutrinos, we study the implications of the neutrino oscillation solutions of the solar and atmospheric neutrino problems and of the results of the CHOOZ experiment for the predictions of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. M. Bilenky , S. Pascoli , S. T. Petcov

At least one neutrino has a mass of about 50 meV or larger. However, the absolute mass scale for the neutrino remains unknown. Studies of double beta decay offer hope for determining the absolute mass scale. Furthermore, the critical…

Nuclear Experiment · Physics 2012-03-23 Steven R. Elliott

We consider the scheme with mixing of three neutrinos and a mass hierarchy. We shown that, under the natural assumptions that massive neutrinos are Majorana particles and there are no unlikely fine-tuned cancellations among the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Carlo Giunti

Neutrino masses can be generated radiatively. In such scenarios their masses are calculated by evaluating a self-energy diagram with vanishing external momentum, i.e. taking only the leading order term in a momentum expansion. The…

High Energy Physics - Phenomenology · Physics 2020-01-08 Werner Rodejohann , Xun-Jie Xu

Cosmology is making impressive progress and it is producing stringent bounds on the sum of the neutrino masses {\Sigma}, a parameter of great importance for the current laboratory experiments. In this letter, we exploit the potential…

High Energy Physics - Phenomenology · Physics 2015-12-15 Stefano Dell'Oro , Simone Marcocci , Matteo Viel , Francesco Vissani

Neutrinoless double beta decay is a hypothetical radioactive process which, if observed, would prove the neutrino to be a Majorana fermion: a particle that is its own antiparticle. In this lecture mini-series I discuss the physics of…

Nuclear Experiment · Physics 2022-02-28 B. J. P. Jones

We review current experimental efforts to search for neutrinoless double beta decay (0$\nu\beta\beta$). A description of the selected leading experiments is given and the strongest recent results are compared in terms of achieved background…

High Energy Physics - Experiment · Physics 2016-06-29 Igor Ostrovskiy , Kevin O'Sullivan

After a short review of the current status of three-neutrino mixing, the implications for the values of neutrino masses are discussed. The bounds on the absolute scale of neutrino masses from Tritium beta-decay and cosmological data are…

High Energy Physics - Phenomenology · Physics 2009-11-10 Carlo Giunti

We determine the possible values of the effective Majorana neutrino mass $|< m > |= |\sum_j U_{ej}^2 m_j|$ in the different phenomenologically viable three and four-neutrino scenarios. The quantities $U_{\alpha j}$ ($\alpha =…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky , C. Giunti , W. Grimus , B. Kayser , S. T. Petcov

A brief overview is given of theoretical analyses with neutrinoless double beta decay experiments. Theoretical bounds on the ``observable'', <m>_betabeta, are presented. By using experimental bounds on <m>_betabeta, allowed regions are…

High Energy Physics - Phenomenology · Physics 2017-08-23 Hiroaki Sugiyama

A generalisation of the neutrinoless double beta decay process is presented. Neutrinoless double beta decay measures only one out of nine possible effective Majorana neutrino masses in case of three flavours. Limits obtained for all the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Zuber

We investigate the way how the total mass sum of neutrinos can be constrained from the neutrinoless double beta decay and cosmological probes with cosmic microwave background (WMAP 3-year results), large scale structures including 2dFGRS…

High Energy Physics - Phenomenology · Physics 2010-12-13 Yong-Yeon Keum , Kiyotomo Ichiki , Taka Kajino

The variances and covariances associated to the nuclear matrix elements (NME) of neutrinoless double beta decay are estimated within the quasiparticle random phase approximation (QRPA). It is shown that correlated NME uncertainties play an…

High Energy Physics - Phenomenology · Physics 2009-11-06 Amand Faessler , G. L. Fogli , E. Lisi , V. Rodin , A. M. Rotunno , F. Simkovic

In this paper, we emphasize why it is important for future neutrinoless double-beta ($0\nu\beta\beta$) decay experiments to reach the sensitivity to the effective neutrino mass $|m^{}_{\beta\beta}| \approx 1~{\rm meV}$. Assuming such a…

High Energy Physics - Phenomenology · Physics 2020-04-22 Jun Cao , Guo-yuan Huang , Yu-Feng Li , Yifang Wang , Liang-Jian Wen , Zhi-zhong Xing , Zhen-hua Zhao , Shun Zhou

Study of the neutrinoless double beta decay and searches for the manifestation of the neutrino mass in ordinary beta decay are the main sources of information about the absolute neutrino mass scale, and the only practical source of…

A brief sketch is given of the present observational status and future prospects of the physics of neutrino mass, including a survey of the various theoretical schemes of neutrino mass generation. Emphasis is given to those which are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jose W. F. Valle