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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…

High Energy Physics - Phenomenology · Physics 2024-08-20 Dong-Liang Fang , Yu-Feng Li , Yi-Yu Zhang , Jing-Yu Zhu

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

Neutrinoless double beta decay can significantly help to shed light on the issue of non-zero neutrino mass, as observation of this lepton number violating process would imply neutrinos are Majorana particles. However, the underlying…

High Energy Physics - Phenomenology · Physics 2018-12-05 Lukas Graf , Frank F. Deppisch , Francesco Iachello , Jenni Kotila

Neutrinoless $\beta\beta$ decay nuclear matrix elements calculated with the shell model and energy-density functional theory typically disagree by more than a factor of two in the standard scenario of light-neutrino exchange. In contrast,…

Nuclear Theory · Physics 2018-04-18 Javier Menéndez

The NEMO 3 experiment searches for neutrinoless double beta decay and makes precision measurements of two-neutrino double beta decay in seven isotopes. The latest two-neutrino half-life results are presented, together with the limits on…

High Energy Physics - Experiment · Physics 2019-08-14 Irina Nasteva

Employing the PHFB model, nuclear transition matrix elements $M^{\left( K\right) }$ for the neutrinoless double-$\beta^{-} $ decay of $\ ^{76}$Ge and $^{82}$Se isotopes are calculated within mechanisms involving light as well as heavy…

Nuclear Theory · Physics 2017-07-10 P. K. Rath , R. Chandra , A. Kumar , P. K. Raina , B. M. Dixit

The neutrinoless double $\beta$-decay of nuclei is reviewed. We discuss neutrino mixing and 3x3 PMNS neutrino mixing matrix. Basic theory of neutrinoless double $\beta$-decay is presented in some details. Results of different calculations…

High Energy Physics - Phenomenology · Physics 2010-11-23 S. M. Bilenky

Most uncertainties regarding the theoretical study of the neutrinoless double-beta decay are related to the accuracy of the nuclear matrix elements that appear in the expressions of the lifetimes. We calculate the nuclear matrix elements…

Nuclear Theory · Physics 2015-06-23 Andrei Neacsu , Mihai Horoi

We investigate neutrinoless double-beta decay ($0\nu\beta\beta$) in the minimal extension of the standard model of particle physics, the $\nu$SM, where gauge-singlet right-handed neutrinos give rise to Dirac and Majorana neutrino mass…

High Energy Physics - Phenomenology · Physics 2023-03-09 Wouter Dekens , Jordy de Vries , Emanuele Mereghetti , Javier Menéndez , Pablo Soriano , Guanghui Zhou

We study the possible structure of the neutrino mass matrix taking into consideration the solar and atmospheric neutrinos and the neutrinoless double beta decay. We emphasize on mass matrices with vanishing elements. There are only a very…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. V. Klapdor-Kleingrothaus , U. Sarkar

Motivated by recent intensive experimental efforts on searching for neutrinoless double-beta decays, we perform a detailed analysis of the physics potential of the experiments based on $^{76}\mathrm{Ge}$. Assuming no signals, current and…

High Energy Physics - Phenomenology · Physics 2016-01-20 Jue Zhang , Shun Zhou

The recently developed formalism for the evaluation of nuclear form factors in neutrinoless double beta decay is applied to $^{48}Ca$, $^{76}Ge$, $^{82}Se$, $^{100}Mo$, $^{128}Te$ and $^{130}Te$ nuclei. Explicit analytical expressions that…

Nuclear Theory · Physics 2009-10-31 C. Barbero , F. Krmpotić , A. Mariano , D. Tadić

The theoretical and experimental issues relevant to neutrinoless double-beta decay are reviewed. The impact that a direct observation of this exotic process would have on elementary particle physics, nuclear physics, astrophysics and…

Nuclear Experiment · Physics 2009-09-29 Frank T. Avignone , Steven R. Elliott , Jonathan Engel

We discuss a novel effect in neutrinoless double beta (0{\nu}{\beta}{\beta}) decay related with the fact that its underlying mechanisms take place in the nuclear matter environment. We study the neutrino exchange mechanism and demonstrate…

High Energy Physics - Phenomenology · Physics 2014-04-23 S. Kovalenko , M. I. Krivoruchenko , F. Simkovic

Neutrinoless double beta decay (\( 0 \nu \beta \beta \)) is a hypothetical nuclear decay mode with important implications. In particular, observation of this decay would demonstrate that the neutrino is a Majorana particle and that lepton…

High Energy Physics - Lattice · Physics 2020-04-17 W. Detmold , D. J. Murphy

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

The influence of large amplitude pairing fluctuations is investigated in the framework of beyond mean field symmetry conserving configuration mixing calculations. In the numerical application the finite range density dependent Gogny force…

Nuclear Theory · Physics 2015-05-30 Nuria López Vaquero , Tomás R. Rodriguez , J. Luis Egido

Neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is related to many fundamental concepts in nuclear and particle physics beyond the standard model. Currently there are many experiments searching for this weak process. An accurate…

Nuclear Theory · Physics 2015-06-22 L. S. Song , J. M. Yao , P. Ring , J. Meng

Neutrinoless double beta decay, which is a very old and yet elusive process, is reviewed. Its observation will signal that lepton number is not conserved and the neutrinos are Majorana particles. More importantly it is our best hope for…

High Energy Physics - Phenomenology · Physics 2015-06-05 J. D. Vergados , H. Ejiri , F. Simkovic

As shown in Ref.\cite{Rod09}, the Fermi nuclear matrix element $M^{0\nu}_F$ of neutrinoless double beta ($0\nu\beta\beta$) decay can be reconstructed if one is able to measure the isospin-forbidden single Fermi transition matrix element…

Nuclear Theory · Physics 2011-03-28 Vadim Rodin , Amand Faessler