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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 neutrinoless double-beta decay ($0\nu\beta\beta$) of two neutrons$nn \rightarrow ppee$ is the elementary subprocess of $0\nu\beta\beta$ decay in nuclei. Accurate knowledge of the $nn \rightarrow ppee$ amplitude is required to pin down…

Nuclear Theory · Physics 2025-06-02 Y. L. Yang , P. W. Zhao

We survey 129 lepton number violating effective operators, consistent with the minimal Standard Model gauge group and particle content, of mass dimension up to and including eleven. Upon requiring that each one radiatively generates the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andre de Gouvea , James Jenkins

We study neutrinoless double-beta decay in an effective field theory (EFT) for heavy nuclei, which are treated as a spherical core coupled to additional neutrons and/or protons. Since the low-energy constants of the EFT cannot be fitted to…

The neutrinoless double beta ($0\nu\beta\beta$) decay is studied in the framework of left-right symmetric model. The coexistence of left and right handed currents induces rather complicated interactions in the mixing of lepton and hadrons,…

High Energy Physics - Phenomenology · Physics 2023-08-30 Takeshi Fukuyama , Toru Sato

A search for neutrinoless double-beta decay ($0\nu\beta\beta$) in $^{136}$Xe is performed with the full EXO-200 dataset using a deep neural network to discriminate between $0\nu\beta\beta$ and background events. Relative to previous…

We used a high-resolution magnetic spectrograph to study neutron pair-correlated $0^+$ states in $^{136}$Ba, produced via the $^{138}{\rm Ba}(p,t)$ reaction. In conjunction with state-of-the-art shell model calculations, these data…

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

Neutrinoless Double Beta Decay ($0\nu\beta\beta$) is presently the only known experiment to distinguisch between Dirac neutrinos, different from their antiparticles, and Majorana neutrinos, identical with their antiparticles. In addition…

Nuclear Theory · Physics 2015-05-27 Amand Faessler

This is the first paper of our systematic efforts on lepton number violating (LNV) hadronic decays in the effective field theory approach. These decays provide information complementary to popular nuclear neutrinoless double-$\beta$…

High Energy Physics - Phenomenology · Physics 2020-05-26 Yi Liao , Xiao-Dong Ma , Hao-Lin Wang

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 minimal Standard Model extension with the Weinberg operator does accommodate the observed neutrino masses and mixing, but predicts a neutrinoless double beta ($0\nu\beta\beta$) decay rate proportional to the effective electron neutrino…

High Energy Physics - Phenomenology · Physics 2015-06-03 Francisco del Aguila , Alberto Aparici , Subhaditya Bhattacharya , Arcadi Santamaria , Jose Wudka

Two-neutrino double-beta decay of certain nuclear isotopes is one of the rarest Standard Model processes observed in nature. Its neutrinoless counterpart is an exotic lepton-number nonconserving process that is widely searched for to…

High Energy Physics - Lattice · Physics 2021-01-01 Zohreh Davoudi , Saurabh V. Kadam

We use a solvable model to examine double-beta decay, focusing on the neutrinoless mode. After examining the ways in which the neutrino propagator affects the corresponding matrix element, we address the problem of finite model-space size…

Nuclear Theory · Physics 2009-11-10 J. Engel , P. Vogel

The double beta decay experiment NEMO~3 has been taking data since February 2003. The aim of this experiment is to search for neutrinoless ($0\nu\beta\beta$) decay and investigate two neutrino double beta decay in seven different…

Nuclear Experiment · Physics 2015-05-18 A. S. Barabash , V. B. Brudanin , the NEMO Collaboration

We evaluate all nuclear matrix elements (NMEs) up to next-to-next-to leading order (N$^2$LO) in chiral effective field theory ($\chi$EFT) for the neutrinoless double-beta ($0\nu\beta\beta$) decay of the nuclei most relevant for experiments,…

Nuclear Theory · Physics 2025-08-22 Daniel Castillo , Lotta Jokiniemi , Pablo Soriano , Javier Menéndez

Accurate nuclear matrix elements (NMEs) for neutrinoless double beta decays of candidate nuclei are important for the design and interpretation of future experiments. Significant progress has been made in the modeling of these NMEs from…

Nuclear Theory · Physics 2021-01-12 J. M. Yao

We review the recent developments in the field of nuclear double beta decay, which is presently an important topic in both nuclear and particle physics. The mechanism of lepton number violation within the neutrinoless double beta decay is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amand Faessler , Fedor Simkovic

We present an automatic renormalization group equations (RGEs) solver, D7RGESolver, designed for the precise numerical solution of one-loop RGEs of dimension-7 (dim-7) operators within the standard model effective field theory (SMEFT). This…

High Energy Physics - Phenomenology · Physics 2025-08-21 Yi Liao , Xiao-Dong Ma , Hao-Lin Wang , Xiang Zhao

The LEGEND collaboration is searching for neutrinoless double beta ($0\nu\beta\beta$) decay by operating high-purity germanium detectors enriched in $^{76}$Ge in a low-background liquid argon environment. Building on key technological…

High Energy Physics - Experiment · Physics 2025-10-01 H. Acharya , N. Ackermann , M. Agostini , A. Alexander , C. Andreoiu , G. R. Araujo , F. T. Avignone , M. Babicz , W. Bae , A. Bakalyarov , M. Balata , A. S. Barabash , P. S. Barbeau , C. J. Barton , L. Baudis , C. Bauer , E. Bernieri , L. Bezrukov , K. H. Bhimani , V. Biancacci , E. Blalock , S. J. Borden , G. Borghi , F. Borra , B. Bos , A. Boston , V. Bothe , R. Bouabid , R. Brugnera , N. Burlac , M. Busch , S. Calgaro , L. Canonica , S. Capra , M. Carminati , R. M. D. Carney , C. Cattadori , R. Cesarano , Y. -D. Chan , J. R. Chapman , A. Chernogorov , P. -J. Chiu , C. D. Christofferson , M. L. Clark , A. I. Colon-Rivera , T. Comellato , V. D'Andrea , R. Deckert , J. A. Detwiler , A. Di Giacinto , N. Di Marco , T. Dixon , K. -M. Dong , A. Drobizhev , G. Duran , Yu. Efremenko , S. R. Elliott , C. H. J. Emmanuel , E. Engelhardt , E. Esch , M. T. Febbraro , F. Ferella , D. E. Fields , C. Fiorini , M. Fomina , N. Fuad , R. Gala , A. Galindo-Uribarri , A. Gangapshev , A. Garfagnini , S. Gazzana , A. Geraci , L. Gessler , C. Ghiano , A. Gieb , S. Giri , M. Gold , C. Gooch , G. Grünauer , M. P. Green , J. Gruszko , I. Guinn , V. E. Guiseppe , V. Gurentsov , Y. Gurov , K. Gusev , B. Hackett , F. Hagemann , M. Haranczyk , F. Henkes , R. Henning , J. Herrera , D. Hervas Aguilar , J. Hinton , R. Hodák , H. F. R. Hoffmann , M. A. Howe , M. Huber , M. Hult , A. Ianni , K. Jędrzejczak , J. Jochum , R. W. L. Jones , D. S. Judson , M. Junker , J. Kaizer , V. Kazalov , M. F. Kidd , T. Kihm , K. Kilgus , A. Klimenko , K. T. Knöpfle , I. Kochanek , O. Kochetov , I. Kontul , L. L. Kormos , V. N. Kornoukhov , P. Krause , H. Krishnamoorthy , V. V. Kuzminov , K. Lang , M. Laubenstein , N. N. P. N. Lay , E. León , A. Leder , B. Lehnert , A. Leonhardt , N. Levashko , L. Y. Li , A. Li , Y. -R. Lin , M. Lindner , I. Lippi , A. Love , A. Lubashevskiy , B. Lubsandorzhiev , N. Lusardi , C. Macolino , B. Majorovits , F. Mamedov , L. Manzanillas , G. G. Marshall , R. D. Martin , E. L. Martin , R. Massarczyk , A. Mazumdar , G. McDowell , D. -M. Mei , S. P. Meireles , M. Menzel , S. Mertens , E. Miller , I. Mirza , M. Misiaszek , M. Morella , B. Morgan , T. Mroz , D. Muenstermann , C. J. Nave , I. Nemchenok , M. Neuberger , N. O'Briant , F. Paissan , L. Papp , L. S. Paudel , K. Pelczar , L. Pertoldi , W. Pettus , F. Piastra , M. Pichotta , P. Piseri , A. W. P. Poon , P. P. Povinec , M. Pruckner , A. Pullia , W. S. Quinn , D. C. Radford , Y. A. Ramachers , A. Razeto , M. Redchuk , A. L. Reine , S. Riboldi , K. Rielage , C. Romo-Luque , N. Rossi , S. Rozov , T. J. Ruland , N. Rumyantseva , J. Runge , R. Saakyan , S. Sailer , G. Salamanna , F. Salamida , G. Saleh , V. Sandukovsky , C. Savarese , S. Schönert , A. -K. Schütz , D. C. Schaper , L. Schlüter , S. J. Schleich , O. Schulz , M. Schwarz , B. Schwingenheuer , C. Seibt , O. Selivanenko , G. Senatore , A. Serafini , K. Shakhov , E. Shevchik , M. Shirchenko , Y. Shitov , H. Simgen , F. Šimkovic , S. Simonaitis-Boyd , M. Skorokhvatov , M. Slavíčková , A. Smolnikov , J. A. Solomon , G. Song , A. C. Sousa , A. R. Sreekala , L. Steinhart , I. Štekl , T. Sterr , M. Stommel , S. A. Sullivan , R. R. Sumathi , K. Szczepaniec , L. Taffarello , D. Tagnani , D. J. Tedeschi , T. N. Thorpe , V. Tretyak , M. Turqueti , E. E. Van Nieuwenhuizen , L. J. Varriano , S. Vasilyev , A. Veresnikova , C. Vignoli , C. Vogl , K. von Sturm , A. Warren , D. Waters , S. L. Watkins , C. Wiesinger , J. F. Wilkerson , M. Willers , C. Wiseman , M. Wojcik , D. Xu , W. Xu , E. Yakushev , T. Ye , C. -H. Yu , V. Yumatov , D. Zinatulina , K. Zuber , G. Zuzel