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The study of neutrinoless double beta decays of nuclei and hyperons require the calculation of hadronic matrix elements of local four-quark operators that change the total charge by two units \Delta Q=2 . Using a low energy effective…

High Energy Physics - Phenomenology · Physics 2013-07-29 C. Barbero , Ling-Fong Li , G. Lopez Castro , A. Mariano

A new generation of neutrinoless double beta decay experiments with improved sensitivity is currently under design and construction. They will probe inverted hierarchy region of the neutrino mass pattern. There is also a revived interest to…

Nuclear Theory · Physics 2015-06-05 Amand Faessler , Vadim Rodin , Fedor Simkovic

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

Neutrinoless double beta decay has been the subject of intensive theoretical work as it represents the only practical approach to discovering whether neutrinos are Majorana particles or not, and whether lepton number is a conserved quantum…

Nuclear Theory · Physics 2013-03-04 R. G. H. Robertson

We show that, within the Quasiparticle Random Phase Approximation (QRPA) and the renormalized QRPA (RQRPA) based on the Bonn CD nucleon-nucleon interaction, the competition between the pairing and the neutron-proton particle-particle and…

Nuclear Theory · Physics 2008-11-26 Fedor Simkovic , Amand Faessler , Vadim Rodin , Petr Vogel , Jonathan Engel

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 demonstrate how to make rigorous predictions for electroweak matrix elements in nuclear systems directly from QCD. More precisely, we show how to determine the short-distance contributions to low-momentum transfer electroweak matrix…

High Energy Physics - Lattice · Physics 2009-11-10 William Detmold , Martin J. Savage

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

The extension of Majorana neutrino mass mechanism of the neutrinoless double-beta decay ($0\nu\beta\beta$) with the inclusion of right-handed leptonic and hadronic currents is revisited. While only the exchange of light neutrinos is…

High Energy Physics - Phenomenology · Physics 2015-11-11 Dusan Stefanik , Rastislav Dvornicky , Fedor Simkovic , Petr Vogel

Starting from chiral nuclear interactions, we evaluate the contribution of the leading-order contact transition operator to the nuclear matrix element (NME) of neutrinoless double-beta decay, assuming a light Majorana neutrino-exchange…

Nuclear Theory · Physics 2021-12-14 R. Wirth , J. M. Yao , H. Hergert

Study of the neutrinoless double beta decay, $0\nu\beta\beta$, includes a variety of problems of nuclear structure theory. They are reviewed here. The problems range from the mechanism of the decay, i.e. exchange of the light Majorana…

Nuclear Theory · Physics 2015-06-11 Petr Vogel

Neutrinoless double beta ($0\nu\beta\beta$) decays of spin-1/2 hyperons are investigated in a covariant baryon chiral perturbation theory framework, extended by a $\Delta L=2$ operator proportional to the Majorana neutrino mass, where $L$…

High Energy Physics - Phenomenology · Physics 2026-02-10 Zi-Ying Zhao , Ze-Rui Liang , Feng-Kun Guo , Li-Ping He , De-Liang Yao

We present the first ab initio calculations of neutrinoless double beta decay matrix elements in $A=6$-$12$ nuclei using Variational Monte Carlo wave functions obtained from the Argonne $v_{18}$ two-nucleon potential and Illinois-7…

Nuclear Theory · Physics 2018-01-24 S. Pastore , J. Carlson , V. Cirigliano , W. Dekens , E. Mereghetti , R. B. Wiringa

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 analyze neutrinoless double beta decay ($0\nu\beta\beta$) within the framework of the Standard Model Effective Field Theory. Apart from the dimension-five Weinberg operator, the first contributions appear at dimension seven. We classify…

High Energy Physics - Phenomenology · Physics 2017-12-29 V. Cirigliano , W. Dekens , J. de Vries , M. L. Graesser , E. Mereghetti

We calculate the nuclear matrix elements of the neutrinoless double beta ($0\nu\beta\beta$) decays of $^{76}$Ge and $^{82}$Se for the light-neutrino exchange mechanism. The nuclear wave functions are obtained by using realistic two-body…

Nuclear Theory · Physics 2008-11-26 Markus Kortelainen , Jouni Suhonen

The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay ($0\nu\beta\beta$) of most nuclei with known $2\nu\beta\beta$-decay rates are systematically evaluated using the Quasiparticle Random Phase Approximation (QRPA)…

Nuclear Theory · Physics 2009-11-11 Vadim Rodin , Amand Faessler , Fedor Simkovic , Petr Vogel

We examine the contributions of odd-parity nuclear operators to the two-neutrino double beta decay $0^+\rightarrow 0^+$ amplitude, which come from the $P$-wave Coulomb corrections to the electron wave functions and the recoil corrections to…

Nuclear Theory · Physics 2016-08-14 C. Barbero , F. Krmpotić , A. Mariano

The predicted neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is the crucial phenomenon to prove the existence of the Majorana neutrino, which gives a foundation to leptogenesis to explain the matter prevalence of the universe. The…

Nuclear Theory · Physics 2024-09-04 Jun Terasaki

The question of whether neutrino masses are Dirac or Majorana is one of the most important, and most difficult, questions remaining in the neutrino sector. Searches for neutrinoless double beta-decay may help to resolve this question, but…

High Energy Physics - Phenomenology · Physics 2010-05-28 Brian Dudley , Christopher Kolda