A neutrinoless double beta decay master formula from effective field theory

Cirigliano, Vincenzo; Dekens, Wouter Gerard; de Vries, Jordy; Graesser, Michael Lawrence; Mereghetti, Emanuele

doi:10.1007/JHEP12(2018)097

A neutrinoless double beta decay master formula from effective field theory

Journal Article · Fri Dec 14 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2018)097· OSTI ID:1492612

^[1]; ^[2]; de Vries, Jordy ^[3]; ^[1]; ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); New Mexico Consortium, Los Alamos Research Park, Los Alamos, NM (United States)
Nikhef, Amsterdam (The Netherlands)

We present a master formula describing the neutrinoless-double-beta decay (0νββ) rate induced by lepton-number-violating (LNV) operators up to dimension nine in the Standard Model Effective Field Theory. We provide an end-to-end framework connecting the possibly very high LNV scale to the nuclear scale, through a chain of effective field theories. Starting at the electroweak scale, we integrate out the heavy Standard Model degrees of freedom and we match to an SU(3)_c Ⓧ U(1)_em effective theory. After evolving the resulting effective Lagrangian to the QCD scale, we use chiral perturbation theory to derive the lepton-number-violating chiral Lagrangian. The chiral Lagrangian is used to derive the two-nucleon 0νββ transition operators to leading order in the chiral power counting. Based on renormalization arguments we show that in various cases short-range two-nucleon operators need to be enhanced to leading order. We show that all required nuclear matrix elements can be taken from existing calculations. Our final result is a master formula that describes the 0νββ rate in terms of phase-space factors, nuclear matrix elements, hadronic low-energy constants, QCD evolution factors, and high-energy LNV Wilson coefficients, including all the interference terms. Our master formula can be easily matched to any model where LNV originates at energy scales above the electroweak scale. As an explicit example, we match our formula to the minimal left-right-symmetric model in which contributions of operators of different dimension compete, and we discuss the resulting phenomenology.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: Laboratory Directed Research and Development (LDRD); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1492612

Report Number(s):: LA-UR--18-24895

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (92)

Prospects for precision measurements in nuclear β decay in the LHC era: Prospects for precision measurements in nuclear β decay in the LHC era Naviliat-Cuncic, Oscar; González-Alonso, Martín Annalen der Physik, Vol. 525, Issue 8-9 https://doi.org/10.1002/andp.201300072	journal	August 2013
Quantization and Renormalization of the Manifest Left–Right Symmetric Model of Electroweak Interactions Duka, P.; Gluza, J.; Zrałek, M. Annals of Physics, Vol. 280, Issue 2 https://doi.org/10.1006/aphy.1999.5988	journal	March 2000
Unification and Supersymmetry Mohapatra, Rabindra N. Springer New York, NY https://doi.org/10.1007/978-1-4757-1928-4	book	January 1986
Non-standard charged current interactions: beta decays versus the LHC Cirigliano, Vincenzo; González-Alonso, Martín; Graesser, Michael L. Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)046	journal	February 2013
Long-lived staus and displaced leptons at the LHC Evans, Jared A.; Shelton, Jessie Journal of High Energy Physics, Vol. 2016, Issue 4 https://doi.org/10.1007/JHEP04(2016)056	journal	April 2016
An electroweak basis for neutrinoless double β decay Graesser, Michael L. Journal of High Energy Physics, Vol. 2017, Issue 8, 32 p. https://doi.org/10.1007/JHEP08(2017)099	journal	August 2017
Lepton number and flavour violation in TeV-scale left-right symmetric theories with large left-right mixing Barry, James; Rodejohann, Werner Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)153	journal	September 2013
Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven Cirigliano, V.; Dekens, W.; de Vries, J. Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)082	journal	December 2017
Chiral perturbation theory to one loop Gasser, J.; Leutwyler, H. Annals of Physics, Vol. 158, Issue 1 https://doi.org/10.1016/0003-4916(84)90242-2	journal	November 1984
Superweak interactions and double beta decay Pontecorvo, B. Physics Letters B, Vol. 26, Issue 10 https://doi.org/10.1016/0370-2693(68)90437-1	journal	April 1968
A theory of lepton number violation and neutrino Majorana masses Zee, A. Physics Letters B, Vol. 93, Issue 4 https://doi.org/10.1016/0370-2693(80)90349-4	journal	June 1980
Model of “calculable” Majorana neutrino masses Babu, K. S. Physics Letters B, Vol. 203, Issue 1-2 https://doi.org/10.1016/0370-2693(88)91584-5	journal	March 1988
A model of radiative neutrino masses. Mixing and a possible fourth generation Babu, K. S.; Ma, Ernest; Pantaleone, James Physics Letters B, Vol. 218, Issue 2 https://doi.org/10.1016/0370-2693(89)91425-1	journal	February 1989
Spontaneous breakdown of parity in a class of gauge theories Senjanović, Goran Nuclear Physics B, Vol. 153 https://doi.org/10.1016/0550-3213(79)90604-7	journal	January 1979
Chiral quarks and the non-relativistic quark model Manohar, Aneesh; Georgi, Howard Nuclear Physics B, Vol. 234, Issue 1 https://doi.org/10.1016/0550-3213(84)90231-1	journal	March 1984
Quantum numbers of Majorana neutrino masses Zee, A. Nuclear Physics B, Vol. 264 https://doi.org/10.1016/0550-3213(86)90475-X	journal	January 1986
Nucleon-nucleon scattering from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 478, Issue 3 https://doi.org/10.1016/0550-3213(96)00357-4	journal	November 1996
A superformula for neutrinoless double beta decay II: the short range part Päs, H.; Hirsch, M.; Klapdor-Kleingrothaus, H. V. Physics Letters B, Vol. 498, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)01359-9	journal	January 2001
Towards a superformula for neutrinoless double beta decay Päs, H.; Hirsch, M.; Klapdor-Kleingrothaus, H. V. Physics Letters B, Vol. 453, Issue 3-4 https://doi.org/10.1016/S0370-2693(99)00330-5	journal	May 1999
Two-loop QCD anomalous dimensions of flavour-changing four-quark operators within and beyond the Standard Model Buras, Andrzej J.; Misiak, Mikołaj; Urban, Jörg Nuclear Physics B, Vol. 586, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00437-5	journal	October 2000
Master formulae for ΔF=2 NLO-QCD factors in the Standard Model and beyond Buras, Andrzej J.; Jäger, Sebastian; Urban, Jörg Nuclear Physics B, Vol. 605, Issue 1-3 https://doi.org/10.1016/S0550-3213(01)00207-3	journal	July 2001
Classification of effective neutrino mass operators Babu, K. S.; Leung, C. N. Nuclear Physics B, Vol. 619, Issue 1-3 https://doi.org/10.1016/S0550-3213(01)00504-1	journal	December 2001
General CP violation in minimal left–right symmetric model and constraints on the right-handed scale Zhang, Yue; An, Haipeng; Ji, Xiangdong Nuclear Physics B, Vol. 802, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2008.05.019	journal	October 2008
Viability of minimal left–right models with discrete symmetries Dekens, Wouter; Boer, Daniël Nuclear Physics B, Vol. 889 https://doi.org/10.1016/j.nuclphysb.2014.10.025	journal	December 2014
Baryon number, lepton number, and operator dimension in the Standard Model Kobach, Andrew Physics Letters B, Vol. 758 https://doi.org/10.1016/j.physletb.2016.05.050	journal	July 2016
Neutrinoless double beta decay and chiral SU (3) Cirigliano, V.; Dekens, W.; Graesser, M. Physics Letters B, Vol. 769 https://doi.org/10.1016/j.physletb.2017.04.020	journal	June 2017
Search for new long-lived particles at s = 13 TeV Sirunyan, A. M.; Tumasyan, A.; Adam, W. Physics Letters B, Vol. 780 https://doi.org/10.1016/j.physletb.2018.03.019	journal	May 2018
New physics searches in nuclear and neutron β decay González-Alonso, M.; Naviliat-Cuncic, O.; Severijns, N. Progress in Particle and Nuclear Physics, Vol. 104 https://doi.org/10.1016/j.ppnp.2018.08.002	journal	January 2019
Search for Majorana neutrinos with the first two years of EXO-200 data Collaboration, Exo-200 Nature, Vol. 510, Issue 7504, p. 229-234 https://doi.org/10.1038/nature13432	journal	June 2014
Emergent properties of nuclei from ab initio coupled-cluster calculations Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R. Physica Scripta, Vol. 91, Issue 6 https://doi.org/10.1088/0031-8949/91/6/063006	journal	May 2016
Coupled-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. Reports on Progress in Physics, Vol. 77, Issue 9 https://doi.org/10.1088/0034-4885/77/9/096302	journal	September 2014
Neutrinoless ββ decay mediated by the exchange of light and heavy neutrinos: the role of nuclear structure correlations Menéndez, J. Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 1 https://doi.org/10.1088/1361-6471/aa9bd4	journal	December 2017
Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review Engel, Jonathan; Menéndez, Javier Reports on Progress in Physics, Vol. 80, Issue 4 https://doi.org/10.1088/1361-6633/aa5bc5	journal	March 2017
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 40, Issue 10 https://doi.org/10.1088/1674-1137/40/10/100001	journal	October 2016
Initial Results from the Majorana Demonstrator Elliott, S. R.; Abgrall, N.; Arnquist, I. J. Journal of Physics: Conference Series, Vol. 888 https://doi.org/10.1088/1742-6596/888/1/012035	journal	September 2017
Background model for the Majorana Demonstrator Cuesta, C. Journal of Physics: Conference Series, Vol. 888 https://doi.org/10.1088/1742-6596/888/1/012240	journal	September 2017
Pionic matrix elements in neutrinoless double- β decay Savage, Martin J. Physical Review C, Vol. 59, Issue 4 https://doi.org/10.1103/PhysRevC.59.2293	journal	April 1999
Renormalization of one-pion exchange and power counting Nogga, A.; Timmermans, R. G. E.; Kolck, U. van Physical Review C, Vol. 72, Issue 5 https://doi.org/10.1103/PhysRevC.72.054006	journal	November 2005
Anatomy of the 0 ν β β nuclear matrix elements Šimkovic, Fedor; Faessler, Amand; Rodin, Vadim Physical Review C, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRevC.77.045503	journal	April 2008
Phase-space factors for double- β decay Kotila, J.; Iachello, F. Physical Review C, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevC.85.034316	journal	March 2012
0 ν β β and 2 ν β β nuclear matrix elements, quasiparticle random-phase approximation, and isospin symmetry restoration Šimkovic, Fedor; Rodin, Vadim; Faessler, Amand Physical Review C, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevC.87.045501	journal	April 2013
Effective double- β -decay operator for 76 Ge and 82 Se Holt, Jason D.; Engel, Jonathan Physical Review C, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevC.87.064315	journal	June 2013
New calculations for phase space factors involved in double- β decay Stoica, Sabin; Mirea, Mihail Physical Review C, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevC.88.037303	journal	September 2013
Coupled-cluster calculations of nucleonic matter Hagen, G.; Papenbrock, T.; Ekström, A. Physical Review C, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevC.89.014319	journal	January 2014
Systematic study of nuclear matrix elements in neutrinoless double- β decay with a beyond-mean-field covariant density functional theory Yao, J. M.; Song, L. S.; Hagino, K. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024316	journal	February 2015
Nuclear matrix elements for 0 ν β β decays with light or heavy Majorana-neutrino exchange Hyvärinen, Juhani; Suhonen, Jouni Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024613	journal	February 2015
0 ν β β and 2 ν β β nuclear matrix elements in the interacting boson model with isospin restoration Barea, J.; Kotila, J.; Iachello, F. Physical Review C, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevC.91.034304	journal	March 2015
Reexamining the light neutrino exchange mechanism of the 0 ν β β decay with left- and right-handed leptonic and hadronic currents Štefánik, Dušan; Dvornický, Rastislav; Šimkovic, Fedor Physical Review C, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevC.92.055502	journal	November 2015
Neutrinoless double- β decay matrix elements in large shell-model spaces with the generator-coordinate method Jiao, C. F.; Engel, J.; Holt, J. D. Physical Review C, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevC.96.054310	journal	November 2017
Neutrinoless double- β decay matrix elements in light nuclei Pastore, S.; Carlson, J.; Cirigliano, V. Physical Review C, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevC.97.014606	journal	January 2018
0 ν β β -decay nuclear matrix element for light and heavy neutrino mass mechanisms from deformed quasiparticle random-phase approximation calculations for Ge 76 , Se 82 , Te 130 , Xe 136 , and Nd 150 with isospin restoration Fang, Dong-Liang; Faessler, Amand; Šimkovic, Fedor Physical Review C, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevC.97.045503	journal	April 2018
Neutrinoless double- β decay in effective field theory: The light-Majorana neutrino-exchange mechanism Cirigliano, Vincenzo; Dekens, Wouter; Mereghetti, Emanuele Physical Review C, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevC.97.065501	journal	June 2018
Quenching of nuclear matrix elements for 0 ν β β decay by chiral two-body currents Wang, Long-Jun; Engel, Jonathan; Yao, Jiang Ming Physical Review C, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevC.98.031301	journal	September 2018
Lepton number as the fourth "color" Pati, Jogesh C.; Salam, Abdus Physical Review D, Vol. 10, Issue 1 https://doi.org/10.1103/PhysRevD.10.275	journal	July 1974
Renormalization constants for scalar, pseudoscalar, and tensor currents Adler, Stephen L.; Colglazier, E. W.; Healy, J. B. Physical Review D, Vol. 11, Issue 11 https://doi.org/10.1103/PhysRevD.11.3309	journal	June 1975
Left-right gauge symmetry and an "isoconjugate" model of CP violation Mohapatra, Rabindra N.; Pati, Jogesh C. Physical Review D, Vol. 11, Issue 3 https://doi.org/10.1103/PhysRevD.11.566	journal	February 1975
Exact left-right symmetry and spontaneous violation of parity Senjanovic, G.; Mohapatra, R. N. Physical Review D, Vol. 12, Issue 5 https://doi.org/10.1103/PhysRevD.12.1502	journal	September 1975
Pion-double-charge-exchange contribution to neutrinoless double- β decay Vergados, J. D. Physical Review D, Vol. 25, Issue 3 https://doi.org/10.1103/PhysRevD.25.914	journal	February 1982
Neutrinoless double β decay and effective field theory Prézeau, G.; Ramsey-Musolf, M.; Vogel, Petr Physical Review D, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevD.68.034016	journal	August 2003
Higgs sector of the left-right model with explicit C P violation Kiers, Ken; Assis, Michael; Petrov, Alexey A. Physical Review D, Vol. 71, Issue 11 https://doi.org/10.1103/PhysRevD.71.115015	journal	June 2005
Seesaw energy scale and the LSND anomaly de Gouvêa, André Physical Review D, Vol. 72, Issue 3 https://doi.org/10.1103/PhysRevD.72.033005	journal	August 2005
Broadening the Higgs boson with right-handed neutrinos and a higher dimension operator at the electroweak scale Graesser, Michael L. Physical Review D, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevD.76.075006	journal	October 2007
Survey of lepton number violation via effective operators de Gouvêa, André; Jenkins, James Physical Review D, Vol. 77, Issue 1 https://doi.org/10.1103/PhysRevD.77.013008	journal	January 2008
Left-right symmetry at LHC Maiezza, Alessio; Nemevšek, Miha; Nesti, Fabrizio Physical Review D, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevD.82.055022	journal	September 2010
Extending the standard model effective field theory with the complete set of dimension-7 operators Lehman, Landon Physical Review D, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevD.90.125023	journal	December 2014
TeV-scale left-right symmetry and large mixing effects in neutrinoless double beta decay Bhupal Dev, P. S.; Goswami, Srubabati; Mitra, Manimala Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.113004	journal	June 2015
QCD running in neutrinoless double beta decay: Short-range mechanisms González, M.; Kovalenko, S. G.; Hirsch, M. Physical Review D, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevD.93.013017	journal	January 2016
Axial, scalar, and tensor charges of the nucleon from 2 + 1 + 1 -flavor Lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D. Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.054508	journal	September 2016
Restoration of parity and the right-handed analog of the CKM matrix Senjanović, Goran; Tello, Vladimir Physical Review D, Vol. 94, Issue 9 https://doi.org/10.1103/PhysRevD.94.095023	journal	November 2016
Search for new phenomena in dijet events using 37 fb − 1 of p p collision data collected at s = 13 TeV with the ATLAS detector Aaboud, M.; Aad, G.; Abbott, B. Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.052004	journal	September 2017
Neutrinoless double beta decay and the baryon asymmetry of the Universe Deppisch, Frank F.; Graf, Lukas; Harz, Julia Physical Review D, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevD.98.055029	journal	September 2018
Short-range neutrinoless double beta decay mechanisms Graf, Lukas; Deppisch, Frank F.; Iachello, Francesco Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.095023	journal	November 2018
Left-Right Symmetry: From the LHC to Neutrinoless Double Beta Decay Tello, Vladimir; Nemevšek, Miha; Nesti, Fabrizio Physical Review Letters, Vol. 106, Issue 15 https://doi.org/10.1103/PhysRevLett.106.151801	journal	April 2011
Connecting Dirac and Majorana Neutrino Mass Matrices in the Minimal Left-Right Symmetric Model Nemevšek, Miha; Senjanović, Goran; Tello, Vladimir Physical Review Letters, Vol. 110, Issue 15 https://doi.org/10.1103/PhysRevLett.110.151802	journal	April 2013
Shape and Pairing Fluctuation Effects on Neutrinoless Double Beta Decay Nuclear Matrix Elements Vaquero, Nuria López; Rodríguez, Tomás R.; Egido, J. Luis Physical Review Letters, Vol. 111, Issue 14 https://doi.org/10.1103/PhysRevLett.111.142501	journal	September 2013
Power Counting of Contact-Range Currents in Effective Field Theory Valderrama, M. Pavón; Phillips, D. R. Physical Review Letters, Vol. 114, Issue 8 https://doi.org/10.1103/PhysRevLett.114.082502	journal	February 2015
Large-Scale Shell-Model Analysis of the Neutrinoless β β Decay of Ca 48 Iwata, Y.; Shimizu, N.; Otsuka, T. Physical Review Letters, Vol. 116, Issue 11 https://doi.org/10.1103/PhysRevLett.116.112502	journal	March 2016
Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen Gando, A.; Gando, Y.; Hachiya, T. Physical Review Letters, Vol. 117, Issue 8 https://doi.org/10.1103/PhysRevLett.117.082503	journal	August 2016
Erratum: Large-Scale Shell-Model Analysis of the Neutrinoless β β Decay of Ca 48 [Phys. Rev. Lett. 116 , 112502 (2016)] Iwata, Y.; Shimizu, N.; Otsuka, T. Physical Review Letters, Vol. 117, Issue 17 https://doi.org/10.1103/PhysRevLett.117.179902	journal	October 2016
New Leading Contribution to Neutrinoless Double- β Decay Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy Physical Review Letters, Vol. 120, Issue 20 https://doi.org/10.1103/PhysRevLett.120.202001	journal	May 2018
Heavy Physics Contributions to Neutrinoless Double Beta Decay from QCD Nicholson, A.; Berkowitz, E.; Monge-Camacho, H. Physical Review Letters, Vol. 121, Issue 17 https://doi.org/10.1103/PhysRevLett.121.172501	journal	October 2018
Baryon- and Lepton-Nonconserving Processes Weinberg, Steven Physical Review Letters, Vol. 43, Issue 21 https://doi.org/10.1103/PhysRevLett.43.1566	journal	November 1979
Natural Hierarchy of Radiatively Induced Majorana Neutrino Masses Babu, K. S.; Ma, Ernest Physical Review Letters, Vol. 61, Issue 6 https://doi.org/10.1103/PhysRevLett.61.674	journal	August 1988
Dominance of Pion Exchange in R -Parity-Violating Supersymmetric Contributions to Neutrinoless Double Beta Decay Faessler, Amand; Kovalenko, Sergey; Šimkovic, Fedor Physical Review Letters, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevLett.78.183	journal	January 1997
Search for doubly charged Higgs boson production in multi-lepton final states with the ATLAS detector using proton–proton collisions at $$\sqrt{s}=13\,\text {TeV}$$ s = 13 TeV Aaboud, M.; Aad, G.; Abbott, B. The European Physical Journal C, Vol. 78, Issue 3 https://doi.org/10.1140/epjc/s10052-018-5661-z	journal	March 2018
Neutrinoless double-beta decay: A probe of physics beyond the Standard Model Bilenky, S. M.; Giunti, C. International Journal of Modern Physics A, Vol. 30, Issue 04n05 https://doi.org/10.1142/S0217751X1530001X	journal	February 2015
Chiral Dynamics in Nucleons and Nuclei Bernard, V.; Kaiser, N.; MeißNer, Ulf-G. International Journal of Modern Physics E, Vol. 04, Issue 02 https://doi.org/10.1142/S0218301395000092	journal	June 1995
Double Beta Decay and Majorana Neutrino Doi, Masaru; Kotani, Tsuneyuki; Takasugi, Eiichi Progress of Theoretical Physics Supplement, Vol. 83 https://doi.org/10.1143/PTPS.83.1	journal	January 1985
Neutrinoless double beta decay from lattice QCD Nicholson, Amy; Berkowitz, Evan; Chang, Chia Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016) https://doi.org/10.22323/1.256.0017	conference	March 2017
Lepton number and flavour violation in TeV-scale left-right symmetric theories with large left-right mixing Barry, James; Rodejohann, Werner arXiv https://doi.org/10.48550/arxiv.1303.6324	text	January 2013
Neutrinoless double beta decay from lattice QCD Nicholson, Amy; Berkowitz, Evan; Chang, Chia Cheng arXiv https://doi.org/10.48550/arxiv.1608.04793	preprint	January 2016
Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven Cirigliano, V.; Dekens, W.; de Vries, J. arXiv https://doi.org/10.48550/arxiv.1708.09390	text	January 2017

Cited By (6)

The 0ν2β-decay CROSS experiment: preliminary results and prospects Bandac, I. C.; Barabash, A. S.; Bergé, L. Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/jhep01(2020)018	journal	January 2020
Renormalization group evolution of dimension-seven operators in standard model effective field theory and relevant phenomenology Liao, Yi; Ma, Xiao-Dong Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/jhep03(2019)179	journal	March 2019
Renormalized approach to neutrinoless double- β decay Cirigliano, V.; Dekens, W.; de Vries, J. Physical Review C, Vol. 100, Issue 5 https://doi.org/10.1103/physrevc.100.055504	journal	November 2019
Long-distance contributions to neutrinoless double beta decay π − → π + e e Tuo, Xin-Yu; Feng, Xu; Jin, Lu-Chang Physical Review D, Vol. 100, Issue 9 https://doi.org/10.1103/physrevd.100.094511	journal	November 2019
Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions Briceño, Raúl A.; Davoudi, Zohreh; Hansen, Maxwell T. Physical Review D, Vol. 101, Issue 1 https://doi.org/10.1103/physrevd.101.014509	journal	January 2020
Renormalization Group Evolution of Dimension-seven Operators in Standard Model Effective Field Theory and Relevant Phenomenology Liao, Yi; Ma, Xiao-Dong arXiv https://doi.org/10.48550/arxiv.1901.10302	text	January 2019

Similar Records

Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven

Journal Article · Thu Dec 14 19:00:00 EST 2017 · Journal of High Energy Physics (Online) · OSTI ID:1416309

Sterile neutrinos and neutrinoless double beta decay in effective field theory

Journal Article · Mon Jun 15 20:00:00 EDT 2020 · Journal of High Energy Physics (Online) · OSTI ID:1648097

Electric dipole moments in 5+3 flavor weak effective theory

Journal Article · Thu Sep 05 20:00:00 EDT 2024 · Journal of High Energy Physics (Online) · OSTI ID:2472571

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Beyond Standard Model
Chiral Lagrangians
Effective Field Theories

A neutrinoless double beta decay master formula from effective field theory

Citation Formats

References (92)

Cited By (6)

Similar Records

Related Subjects