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The study of the neutrinoless double beta ($0 \beta\beta$) decay mode can provide us with important information on the neutrino properties, particularly on the electron neutrino absolute mass. In this work we revise the present constraints…

Nuclear Theory · Physics 2016-11-25 Sabin Stoica , Andrei Neacsu

Neutrinoless double-beta decay ($0\nu\beta\beta$) is a rare hypothesised process that, if discovered, would establish that the neutrino is Majorana, that is, it is its own antiparticle. Interpretation of experimental results relies on…

High Energy Physics - Lattice · Physics 2025-04-29 Anthony V. Grebe

Weak interaction in nuclei represents a well-known venue for testing many of the fundamental symmetries of the Standard Model. In particular, neutrinoless double-beta decay offers the possibility to test Beyond Standard Model theories…

High Energy Physics - Phenomenology · Physics 2017-10-03 Mihai Horoi , Andrei Neacsu

Comprehensive description of the phenomenology of the $\beta\beta$ decay is given, with emphasis on the nuclear physics aspects. After a brief review of the neutrino oscillation results and of motivation to test the lepton number…

High Energy Physics - Phenomenology · Physics 2008-07-17 Petr Vogel

Neutrinoless double beta decay is a very important process both from the particle and nuclear physics point of view. From the elementary particle point of view it pops up in almost every model. giving rise, among others, to the following…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. D. Vergados

Study of the neutrinoless $\beta\beta$ decay allows us to put a stringent limit on the effective neutrino Majorana mass, a quantity of fundamental importance. To test our ability to evaluate the nuclear matrix elements that govern the decay…

Nuclear Theory · Physics 2007-05-23 Petr Vogel

In the Standard Model the total lepton number is conserved. Thus, neutrinoless double-beta decay, in which the total lepton number is violated by two units, is a probe of physics beyond the Standard Model. In this review we consider the…

High Energy Physics - Phenomenology · Physics 2015-06-23 S. M. Bilenky , C. Giunti

Neutrinoless double beta ($\znbb$) decay violates lepton number; its absence stringently constrains the parameters of theories beyond the standard model in which the neutrino has a Majorana mass. R-parity violating weak-scale supersymmetry…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Hirsch

We study two-neutrino ($2\nu\beta\beta$) and neutrinoless double-$\beta$ ($0\nu\beta\beta$) decays in the nuclear shell model and proton-neutron quasiparticle random-phase approximation (pnQRPA) frameworks. Calculating the decay half-life…

Nuclear Theory · Physics 2023-04-14 Lotta Jokiniemi , Beatriz Romeo , Pablo Soriano , Javier Menéndez

A large Hilbert space is used for the calculation of the nuclear matrix elements governing the light neutrino mass mediated mode of neutrinoless double beta decay of Ge76, Mo100, Cd116, Te128 and Xe136 within the proton-neutron…

Nuclear Theory · Physics 2009-10-30 F. Simkovic , J. Schwieger , G. Pantis , Amand Faessler

Two-neutrino double-beta ($2\nu\beta\beta$) decay has been used to constrain the neutron-proton part of effective interactions, which in turn is used to compute the nuclear matrix elements for neutrinoless double-beta decay, the observation…

Nuclear Theory · Physics 2022-04-20 Nobuo Hinohara , Jonathan Engel

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…

High Energy Physics - Phenomenology · Physics 2016-12-12 J. D. Vergados , H. Ejiri , F Šimkovic

We devise a framework based on the generalized contact formalism that combines the nuclear shell model and quantum Monte Carlo methods and compute the neutrinoless double-beta decay of experimentally relevant nuclei, including $^{76}$Ge,…

Nuclear Theory · Physics 2022-12-21 Ronen Weiss , Pablo Soriano , Alessandro Lovato , Jaview Menendez , R. B. Wiringa

Lorentz-violating neutrino parameters have been severely constrained on the basis of astrophysical considerations. In the high-energy limit, one generally assumes a superluminal dispersion relation of an incoming neutrino of the form E ~…

High Energy Physics - Phenomenology · Physics 2020-01-13 G. Somogyi , I. Nandori , U. D. Jentschura

We use the large scale nuclear shell model to calculate the nuclear matrix elements for the neutrino mediated neutrinoless double beta decay within the Left-Right symmetric model for four nuclei: $^{76}$Ge, $^{82}$Se, $^{130}$Te and…

Nuclear Theory · Physics 2024-07-04 Dong-Liang Fang , B. Alex Brown , Fedor Šimkovic

In this paper a microscopic state-of-the-art approach to calculation of the nuclear matrix element $M^{0\nu}$ for neutrinoless double beta decay with an account for nuclear deformation is presented in length and applied for $^{76}$Ge,…

Nuclear Theory · Physics 2015-03-17 Dong-Liang Fang , Amand Faessler , Vadim Rodin , Fedor Simkovic

We perform the calculation of nuclear matrix elements for the neutrinoless double beta decays under a Left-Right symmetric model mediated by light neutrino, and we adopt the spherical quasi-particle random-phase approximation (QRPA)…

Nuclear Theory · Physics 2025-06-17 Ri-Guang Huang , You-Cai Chen , Dong-Liang Fang

We review the potential to probe new physics with neutrinoless double beta decay $(A,Z) \to (A,Z+2) + 2 e^-$. Both the standard long-range light neutrino mechanism as well as short-range mechanisms mediated by heavy particles are discussed.…

High Energy Physics - Phenomenology · Physics 2015-12-09 Heinrich Päs , Werner Rodejohann

The calculations of nuclear matrix elements of $0\nu\beta\beta$-decay is a challenge for nuclear physics. We are discussing here a model independent method, which could allow to test the calculations. The method is based on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky

The existing calculations of the nuclear matrix elements of the neutrinoless double beta-decay differ by about a factor three. This uncertainty prevents quantative interpretation of the results of experiments searching for this process. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky , J. A. Grifols