Renormalized approach to neutrinoless double-$β$ decay

Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy; Graesser, Michael Lawrence; Mereghetti, Emanuele; Pastore, S.; Piarulli, M.; van Kolck, Ubirajara; Wiringa, R. B.

doi:10.1103/PhysRevC.100.055504

Title: Renormalized approach to neutrinoless double-$$β$$ decay

Abstract

The process at the heart of neutrinoless double-$$β$$ decay, $$nn →\ pp\ e⁻ e⁻$$ induced by a light Majorana neutrino, is investigated in pionless and chiral effective field theory. We show in various regularization schemes the need to introduce a short-range lepton-number-violating operator at leading order, confirming earlier findings. We demonstrate that such a short-range operator is only needed in spin-singlet $$S$$-wave transitions, while leading-order transitions involving higher partial waves depend solely on long-range currents. Calculations are extended to include next-to-leading-order corrections in perturbation theory, where to this order no additional undetermined parameters appear. We establish a connection based on chiral symmetry between neutrinoless double-$$β$$ decay and nuclear charge-independence breaking induced by electromagnetism. Data on the latter confirm the need for a leading-order short-range operator but do not allow for a full determination of the corresponding lepton-number-violating coupling. Using a crude estimate of this coupling, we perform ab initio calculations of the matrix elements for neutrinoless double-$$β$$ decay for ⁶He and ¹²Be. We speculate on the phenomenological impact of the leading short-range operator on the basis of these results.

Authors:

^[1];

^[2];

^[3];

^[1];

^[1]; Pastore, S. ^[4]; Piarulli, M. ^[5];

^[6]; Wiringa, R. B. ^[7]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Univ. of California, San Diego, CA (United States). Dept. of Physics
Univ. of Massachusetts, Amherst, MA (United States). Dept. of Physics. Amherst Center for Fundamental Interactions; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Washington Univ., St. Louis, MO (United States). Physics Dept. and McDonnell Center for the Space Sciences
Washington Univ., St. Louis, MO (United States). Physics Dept.
Univ. Paris-Sud, Orsay (France). Orsay Nuclear Physics Inst,; Univ. Paris-Saclay, Orsay (France); Univ. of Arizona, Tucson, AZ (United States). Dept. of Physics
Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division

Publication Date:: Mon Nov 25 00:00:00 EST 2019

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States); Michigan State Univ., East Lansing, MI (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP); European Commission (EC); Laboratory Directed Research & Development (LDRD)

Contributing Org.:: NUCLEI SciDAC and INCITE

OSTI Identifier:: 1581232

Alternate Identifier(s):: OSTI ID: 1607445; OSTI ID: 1608679

Report Number(s):: LA-UR-19-26002
Journal ID: ISSN 0556-2813; 154037; TRN: US2101052

Grant/Contract Number:: AC02-06CH11357; FG02-04ER41338; SC0009919; AC52-06NA25396; 654002; SC0013617; 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C, Nuclear Physics

Additional Journal Information:: Journal Volume: 100; Journal Issue: 5; Journal ID: ISSN 0556-2813

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic, Nuclear and Particle Physics

Citation Formats


                    Cirigliano, Vincenzo, Dekens, Wouter, de Vries, Jordy, Graesser, Michael Lawrence, Mereghetti, Emanuele, Pastore, S., Piarulli, M., van Kolck, Ubirajara, and Wiringa, R. B. Renormalized approach to neutrinoless double-$β$ decay.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevC.100.055504.

Copy to clipboard


                    Cirigliano, Vincenzo, Dekens, Wouter, de Vries, Jordy, Graesser, Michael Lawrence, Mereghetti, Emanuele, Pastore, S., Piarulli, M., van Kolck, Ubirajara, & Wiringa, R. B. Renormalized approach to neutrinoless double-$β$ decay.  United States.  https://doi.org/10.1103/PhysRevC.100.055504

Copy to clipboard


                    Cirigliano, Vincenzo, Dekens, Wouter, de Vries, Jordy, Graesser, Michael Lawrence, Mereghetti, Emanuele, Pastore, S., Piarulli, M., van Kolck, Ubirajara, and Wiringa, R. B. Mon .  
"Renormalized approach to neutrinoless double-$β$ decay".  United States.  https://doi.org/10.1103/PhysRevC.100.055504.  https://www.osti.gov/servlets/purl/1581232.

Copy to clipboard


                    
@article{osti_1581232,

  title        = {Renormalized approach to neutrinoless double-$β$ decay},

  author       = {Cirigliano, Vincenzo and Dekens, Wouter and de Vries, Jordy and Graesser, Michael Lawrence and Mereghetti, Emanuele and Pastore, S. and Piarulli, M. and van Kolck, Ubirajara and Wiringa, R. B.},

  abstractNote = {The process at the heart of neutrinoless double-$β$ decay, $nn →\ pp\ e⁻ e⁻$ induced by a light Majorana neutrino, is investigated in pionless and chiral effective field theory. We show in various regularization schemes the need to introduce a short-range lepton-number-violating operator at leading order, confirming earlier findings. We demonstrate that such a short-range operator is only needed in spin-singlet $S$-wave transitions, while leading-order transitions involving higher partial waves depend solely on long-range currents. Calculations are extended to include next-to-leading-order corrections in perturbation theory, where to this order no additional undetermined parameters appear. We establish a connection based on chiral symmetry between neutrinoless double-$β$ decay and nuclear charge-independence breaking induced by electromagnetism. Data on the latter confirm the need for a leading-order short-range operator but do not allow for a full determination of the corresponding lepton-number-violating coupling. Using a crude estimate of this coupling, we perform ab initio calculations of the matrix elements for neutrinoless double-$β$ decay for 6He and 12Be. We speculate on the phenomenological impact of the leading short-range operator on the basis of these results.},

  doi          = {10.1103/PhysRevC.100.055504},

  journal      = {Physical Review C, Nuclear Physics},

  number       = 5,

  volume       = 100,

  place        = {United States},

  year         = {Mon Nov 25 00:00:00 EST 2019},

  month        = {Mon Nov 25 00:00:00 EST 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevC.100.055504

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 50 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

An electroweak basis for neutrinoless double β decay
journal, August 2017

Graesser, Michael L.
Journal of High Energy Physics, Vol. 2017, Issue 8, 32 p.
DOI: 10.1007/JHEP08(2017)099

Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector
journal, February 2018

Albert, J. B.; Anton, G.; Badhrees, I.
Physical Review Letters, Vol. 120, Issue 7
DOI: 10.1103/PhysRevLett.120.072701

Nucleon-nucleon effective field theory without pions
journal, July 1999

Chen, Jiunn-Wei; Rupak, Gautam; Savage, Martin J.
Nuclear Physics A, Vol. 653, Issue 4
DOI: 10.1016/S0375-9474(99)00298-5

$0 ν β β$ -decay nuclear matrix elements with self-consistent short-range correlations
journal, May 2009

Šimkovic, Fedor; Faessler, Amand; Müther, Herbert
Physical Review C, Vol. 79, Issue 5
DOI: 10.1103/PhysRevC.79.055501

Upper limit on the electron antineutrino mass from the Troitsk experiment
journal, December 2011

Aseev, V. N.; Belesev, A. I.; Berlev, A. I.
Physical Review D, Vol. 84, Issue 11
DOI: 10.1103/PhysRevD.84.112003

Double- $β$ decay matrix elements from lattice quantum chromodynamics
journal, September 2017

Tiburzi, Brian C.; Wagman, Michael L.; Winter, Frank
Physical Review D, Vol. 96, Issue 5
DOI: 10.1103/PhysRevD.96.054505

Renormalization of one-pion exchange and power counting
journal, November 2005

Nogga, A.; Timmermans, R. G. E.; Kolck, U. van
Physical Review C, Vol. 72, Issue 5
DOI: 10.1103/PhysRevC.72.054006

Short-range correlation effects on the nuclear matrix element of neutrinoless double- β decay
journal, December 2014

Benhar, Omar; Biondi, Riccardo; Speranza, Enrico
Physical Review C, Vol. 90, Issue 6
DOI: 10.1103/PhysRevC.90.065504

Proton–proton scattering lengths from effective field theory
journal, March 1999

Kong, Xinwei; Ravndal, Finn
Physics Letters B, Vol. 450, Issue 4
DOI: 10.1016/S0370-2693(99)00144-6

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review
journal, March 2017

Engel, Jonathan; Menéndez, Javier
Reports on Progress in Physics, Vol. 80, Issue 4
DOI: 10.1088/1361-6633/aa5bc5

Neutrinoless double- $β$ decay in effective field theory: The light-Majorana neutrino-exchange mechanism
journal, June 2018

Cirigliano, Vincenzo; Dekens, Wouter; Mereghetti, Emanuele
Physical Review C, Vol. 97, Issue 6
DOI: 10.1103/PhysRevC.97.065501

Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
journal, October 2018

Baroni, A.; Schiavilla, R.; Marcucci, L. E.
Physical Review C, Vol. 98, Issue 4
DOI: 10.1103/PhysRevC.98.044003

Neutrinoless double- $β$ decay matrix elements in light nuclei
journal, January 2018

Pastore, S.; Carlson, J.; Cirigliano, V.
Physical Review C, Vol. 97, Issue 1
DOI: 10.1103/PhysRevC.97.014606

μ→eγ at a rate of one out of 109 muon decays?
journal, April 1977

Minkowski, Peter
Physics Letters B, Vol. 67, Issue 4
DOI: 10.1016/0370-2693(77)90435-X

Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen
journal, August 2016

Gando, A.; Gando, Y.; Hachiya, T.
Physical Review Letters, Vol. 117, Issue 8
DOI: 10.1103/PhysRevLett.117.082503

Chiral Dynamics in Nucleons and Nuclei
journal, June 1995

Bernard, V.; Kaiser, N.; MeißNer, Ulf-G.
International Journal of Modern Physics E, Vol. 04, Issue 02
DOI: 10.1142/S0218301395000092

Charge-symmetry breaking and the two-pion-exchange two-nucleon interaction
journal, August 2003

Friar, J. L.; van Kolck, U.; Payne, G. L.
Physical Review C, Vol. 68, Issue 2
DOI: 10.1103/PhysRevC.68.024003

Quantum Monte Carlo calculations of weak transitions in $A = 6 - 10$ nuclei
journal, February 2018

Pastore, S.; Baroni, A.; Carlson, J.
Physical Review C, Vol. 97, Issue 2
DOI: 10.1103/PhysRevC.97.022501

A survey of pion charge-exchange reactions with nuclei
journal, September 1976

Miller, Gerald A.; Spencer, James E.
Annals of Physics, Vol. 100, Issue 1-2
DOI: 10.1016/0003-4916(76)90073-7

Effective theory for neutron-deuteron scattering: Energy dependence
journal, August 1998

Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
Physical Review C, Vol. 58, Issue 2
DOI: 10.1103/PhysRevC.58.R641

Perturbative N N scattering in chiral effective field theory
journal, February 2019

Wu, Shaowei; Long, Bingwei
Physical Review C, Vol. 99, Issue 2
DOI: 10.1103/PhysRevC.99.024003

NNLO corrections to nucleon–nucleon scattering and perturbative pions
journal, September 2000

Fleming, Sean; Mehen, Thomas; Stewart, Iain W.
Nuclear Physics A, Vol. 677, Issue 1-4
DOI: 10.1016/S0375-9474(00)00221-9

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including $Δ$ resonances
journal, February 2015

Piarulli, M.; Girlanda, L.; Schiavilla, R.
Physical Review C, Vol. 91, Issue 2
DOI: 10.1103/PhysRevC.91.024003

Electromagnetic Corrections to the One-Pion-Exchange Potential
journal, May 1998

van Kolck, U.; Rentmeester, M. C. M.; Friar, J. L.
Physical Review Letters, Vol. 80, Issue 20
DOI: 10.1103/PhysRevLett.80.4386

Effective theory of the triton
journal, August 2000

Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
Nuclear Physics A, Vol. 676, Issue 1-4
DOI: 10.1016/S0375-9474(00)00205-0

Nucleon-deuteron scattering from an effective field theory
journal, June 1998

Bedaque, P. F.; van Kolck, U.
Physics Letters B, Vol. 428, Issue 3-4
DOI: 10.1016/S0370-2693(98)00430-4

Nuclear forces from chiral lagrangians
journal, November 1990

Weinberg, Steven
Physics Letters B, Vol. 251, Issue 2
DOI: 10.1016/0370-2693(90)90938-3

Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV
journal, August 1993

Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M.
Physical Review C, Vol. 48, Issue 2
DOI: 10.1103/PhysRevC.48.792

Chiral effective field theory and nuclear forces
journal, June 2011

Machleidt, R.; Entem, D. R.
Physics Reports, Vol. 503, Issue 1
DOI: 10.1016/j.physrep.2011.02.001

Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
journal, June 2004

Ananthanarayan, B.; Moussallam, B.
Journal of High Energy Physics, Vol. 2004, Issue 06
DOI: 10.1088/1126-6708/2004/06/047

Limit on Neutrinoless $β β$ Decay of ${}^{136}{Xe}$ from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in ${}^{76}{Ge}$
journal, February 2013

Gando, A.; Gando, Y.; Hanakago, H.
Physical Review Letters, Vol. 110, Issue 6
DOI: 10.1103/PhysRevLett.110.062502

Current Status and Future Prospects of the SNO+ Experiment
journal, January 2016

Andringa, S.; Arushanova, E.; Asahi, S.
Advances in High Energy Physics, Vol. 2016
DOI: 10.1155/2016/6194250

Fully perturbative calculation of $n d$ scattering to next-to-next-to-leading order
journal, October 2013

Vanasse, Jared
Physical Review C, Vol. 88, Issue 4
DOI: 10.1103/PhysRevC.88.044001

Towards a perturbative theory of nuclear forces
journal, March 2002

Beane, S. R.; Bedaque, P. F.; Savage, M. J.
Nuclear Physics A, Vol. 700, Issue 1-2
DOI: 10.1016/S0375-9474(01)01324-0

Initial Results from the Majorana Demonstrator
journal, September 2017

Elliott, S. R.; Abgrall, N.; Arnquist, I. J.
Journal of Physics: Conference Series, Vol. 888
DOI: 10.1088/1742-6596/888/1/012035

Two-nucleon systems from effective field theory
journal, November 1998

Kaplan, David B.; Savage, Martin J.; Wise, Mark B.
Nuclear Physics B, Vol. 534, Issue 1-2
DOI: 10.1016/S0550-3213(98)00440-4

Power counting with one-pion exchange
journal, July 2006

Birse, Michael C.
Physical Review C, Vol. 74, Issue 1
DOI: 10.1103/PhysRevC.74.014003

Effective theory of ³ H and ³ He
journal, April 2016

König, Sebastian; Grießhammer, Harald W.; Hammer, H-W
Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 5
DOI: 10.1088/0954-3899/43/5/055106

Anatomy of the $0 ν β β$ nuclear matrix elements
journal, April 2008

Šimkovic, Fedor; Faessler, Amand; Rodin, Vadim
Physical Review C, Vol. 77, Issue 4
DOI: 10.1103/PhysRevC.77.045503

Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
journal, May 2015

Epelbaum, E.; Krebs, H.; Meißner, U. -G.
The European Physical Journal A, Vol. 51, Issue 5
DOI: 10.1140/epja/i2015-15053-8

Jastrow functions in double- β decay
journal, March 2011

Engel, J.; Carlson, J.; Wiringa, R. B.
Physical Review C, Vol. 83, Issue 3
DOI: 10.1103/PhysRevC.83.034317

Pion-less effective field theory for atomic nuclei and lattice nuclei
journal, November 2018

Bansal, A.; Binder, S.; Ekström, A.
Physical Review C, Vol. 98, Issue 5
DOI: 10.1103/PhysRevC.98.054301

Chiral quarks and the non-relativistic quark model
journal, March 1984

Manohar, Aneesh; Georgi, Howard
Nuclear Physics B, Vol. 234, Issue 1
DOI: 10.1016/0550-3213(84)90231-1

A neutrinoless double beta decay master formula from effective field theory
journal, December 2018

Cirigliano, V.; Dekens, W.; de Vries, J.
Journal of High Energy Physics, Vol. 2018, Issue 12
DOI: 10.1007/JHEP12(2018)097

Power Counting of Contact-Range Currents in Effective Field Theory
journal, February 2015

Valderrama, M. Pavón; Phillips, D. R.
Physical Review Letters, Vol. 114, Issue 8
DOI: 10.1103/PhysRevLett.114.082502

Additional nucleon current contributions to neutrinoless double $β$ decay
journal, October 1999

Šimkovic, F.; Pantis, G.; Vergados, J. D.
Physical Review C, Vol. 60, Issue 5
DOI: 10.1103/PhysRevC.60.055502

Coulomb effects in low energy proton–proton scattering
journal, February 2000

Kong, Xinwei; Ravndal, Finn
Nuclear Physics A, Vol. 665, Issue 1-2
DOI: 10.1016/S0375-9474(99)00406-6

Disassembling the nuclear matrix elements of the neutrinoless ββ decay
journal, March 2009

Menéndez, J.; Poves, A.; Caurier, E.
Nuclear Physics A, Vol. 818, Issue 3-4
DOI: 10.1016/j.nuclphysa.2008.12.005

On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting
journal, October 2012

Epelbaum, E.; Meißner, Ulf-G.
Few-Body Systems, Vol. 54, Issue 12
DOI: 10.1007/s00601-012-0492-1

Neutrinoless double- $β$ decay in SU(2)×U(1) theories
journal, June 1982

Schechter, J.; Valle, J. W. F.
Physical Review D, Vol. 25, Issue 11
DOI: 10.1103/PhysRevD.25.2951

Double beta decay
journal, January 1984

Haxton, W.
Progress in Particle and Nuclear Physics, Vol. 12
DOI: 10.1016/0146-6410(84)90006-1

On the correlation between the binding energies of the triton and the α-particle
journal, February 2005

Platter, L.; Hammer, H. -W.; Meißner, Ulf-G.
Physics Letters B, Vol. 607, Issue 3-4
DOI: 10.1016/j.physletb.2004.12.068

Chiral Two-Body Currents in Nuclei: Gamow-Teller Transitions and Neutrinoless Double-Beta Decay
journal, August 2011

Menéndez, J.; Gazit, D.; Schwenk, A.
Physical Review Letters, Vol. 107, Issue 6
DOI: 10.1103/PhysRevLett.107.062501

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
Physical Review C, Vol. 51, Issue 1
DOI: 10.1103/PhysRevC.51.38

Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- $β$ Decay Phenomenology
journal, August 2017

Shanahan, Phiala E.; Tiburzi, Brian C.; Wagman, Michael L.
Physical Review Letters, Vol. 119, Issue 6
DOI: 10.1103/PhysRevLett.119.062003

First Result on the Neutrinoless Double- $β$ Decay of ${}^{82}{Se}$ with CUPID-0
journal, June 2018

Azzolini, O.; Barrera, M. T.; Beeman, J. W.
Physical Review Letters, Vol. 120, Issue 23
DOI: 10.1103/PhysRevLett.120.232502

The three-boson system with short-range interactions
journal, February 1999

Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
Nuclear Physics A, Vol. 646, Issue 4
DOI: 10.1016/S0375-9474(98)00650-2

Light-Neutrino Exchange and Long-Distance Contributions to $0 ν 2 β$ Decays: An Exploratory Study on $π π \to e e$
journal, January 2019

Feng, Xu; Jin, Lu-Chang; Tuo, Xin-Yu
Physical Review Letters, Vol. 122, Issue 2
DOI: 10.1103/PhysRevLett.122.022001

Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999

Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
Physical Review Letters, Vol. 82, Issue 3
DOI: 10.1103/PhysRevLett.82.463

Phenomenological aspects of isospin violation in the nuclear force
journal, March 1996

van Kolck, U.; Friar, J. L.; Goldman, T.
Physics Letters B, Vol. 371, Issue 3-4
DOI: 10.1016/0370-2693(96)00009-3

Proton-Proton Fusion and Tritium $β$ Decay from Lattice Quantum Chromodynamics
journal, August 2017

Savage, Martin J.; Shanahan, Phiala E.; Tiburzi, Brian C.
Physical Review Letters, Vol. 119, Issue 6
DOI: 10.1103/PhysRevLett.119.062002

Quenching of nuclear matrix elements for $0 ν β β$ decay by chiral two-body currents
journal, September 2018

Wang, Long-Jun; Engel, Jonathan; Yao, Jiang Ming
Physical Review C, Vol. 98, Issue 3
DOI: 10.1103/PhysRevC.98.031301

First Results from CUORE: A Search for Lepton Number Violation via $0 ν β β$ Decay of ${}^{130}{Te}$
journal, March 2018

Alduino, C.; Alessandria, F.; Alfonso, K.
Physical Review Letters, Vol. 120, Issue 13
DOI: 10.1103/PhysRevLett.120.132501

Improved Limit on Neutrinoless Double- $β$ Decay of ${}^{76}{Ge}$ from GERDA Phase II
journal, March 2018

Agostini, M.; Bakalyarov, A. M.; Balata, M.
Physical Review Letters, Vol. 120, Issue 13
DOI: 10.1103/PhysRevLett.120.132503

Two-nucleon potential from chiral Lagrangians
journal, May 1996

Ordóñez, C.; Ray, L.; van Kolck, U.
Physical Review C, Vol. 53, Issue 5
DOI: 10.1103/PhysRevC.53.2086

Search for Neutrinoless Double- $β$ Decay in ${}^{76}{Ge}$ with the Majorana Demonstrator
journal, March 2018

Aalseth, C. E.; Abgrall, N.; Aguayo, E.
Physical Review Letters, Vol. 120, Issue 13
DOI: 10.1103/PhysRevLett.120.132502

Ground-state energy of pionic hydrogen to one loop
journal, November 2002

Gasser, J.; Ivanov, M. A.; Lipartia, E.
The European Physical Journal C, Vol. 26, Issue 1
DOI: 10.1007/s10052-002-1013-z

Discrepancy between experimental and theoretical β-decay rates resolved from first principles
journal, March 2019

Gysbers, P.; Hagen, G.; Holt, J. D.
Nature Physics, Vol. 15, Issue 5
DOI: 10.1038/s41567-019-0450-7

Heavy Physics Contributions to Neutrinoless Double Beta Decay from QCD
journal, October 2018

Nicholson, A.; Berkowitz, E.; Monge-Camacho, H.
Physical Review Letters, Vol. 121, Issue 17
DOI: 10.1103/PhysRevLett.121.172501

Renormalization of the $NN$ interaction with a chiral two-pion exchange potential. II. Noncentral phases
journal, December 2006

Pavón Valderrama, M.; Arriola, E. Ruiz
Physical Review C, Vol. 74, Issue 6
DOI: 10.1103/PhysRevC.74.064004

Spectra and scattering of light lattice nuclei from effective field theory
journal, November 2015

Kirscher, J.; Barnea, N.; Gazit, D.
Physical Review C, Vol. 92, Issue 5
DOI: 10.1103/PhysRevC.92.054002

Effective field theory of short-range forces
journal, January 1999

van Kolck, U.
Nuclear Physics A, Vol. 645, Issue 2
DOI: 10.1016/S0375-9474(98)00612-5

Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei
journal, November 2016

Piarulli, M.; Girlanda, L.; Schiavilla, R.
Physical Review C, Vol. 94, Issue 5
DOI: 10.1103/PhysRevC.94.054007

Short-range neutrinoless double beta decay mechanisms
journal, November 2018

Graf, Lukas; Deppisch, Frank F.; Iachello, Francesco
Physical Review D, Vol. 98, Issue 9
DOI: 10.1103/PhysRevD.98.095023

Charge symmetry, quarks and mesons
journal, October 1990

Miller, G. A.; Nefkens, B. M. K.; Šlaus, I.
Physics Reports, Vol. 194, Issue 1-2
DOI: 10.1016/0370-1573(90)90102-8

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
journal, December 2002

Bedaque, Paulo F.; van Kolck, Ubirajara
Annual Review of Nuclear and Particle Science, Vol. 52, Issue 1
DOI: 10.1146/annurev.nucl.52.050102.090637

Results on Neutrinoless Double- $β$ Decay of ${}^{76}{Ge}$ from Phase I of the GERDA Experiment
journal, September 2013

Agostini, M.; Allardt, M.; Andreotti, E.
Physical Review Letters, Vol. 111, Issue 12
DOI: 10.1103/PhysRevLett.111.122503

Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991

Weinberg, Steven
Nuclear Physics B, Vol. 363, Issue 1
DOI: 10.1016/0550-3213(91)90231-L

Short-range nuclear forces in singlet channels
journal, August 2012

Long, Bingwei; Yang, C. -J.
Physical Review C, Vol. 86, Issue 2
DOI: 10.1103/PhysRevC.86.024001

New Leading Contribution to Neutrinoless Double- $β$ Decay
journal, May 2018

Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy
Physical Review Letters, Vol. 120, Issue 20
DOI: 10.1103/PhysRevLett.120.202001

The potential of effective field theory in NN scattering
journal, March 1998

Beane, S. R.; Cohen, T. D.; Phillips, D. R.
Nuclear Physics A, Vol. 632, Issue 3
DOI: 10.1016/S0375-9474(98)00007-4

Charge-independence breaking in the two-pion-exchange nucleon-nucleon force
journal, August 1999

Friar, J. L.; van Kolck, U.
Physical Review C, Vol. 60, Issue 3
DOI: 10.1103/PhysRevC.60.034006

Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
journal, December 2017

Cirigliano, V.; Dekens, W.; de Vries, J.
Journal of High Energy Physics, Vol. 2017, Issue 12
DOI: 10.1007/JHEP12(2017)082

Baryon- and Lepton-Nonconserving Processes
journal, November 1979

Weinberg, Steven
Physical Review Letters, Vol. 43, Issue 21
DOI: 10.1103/PhysRevLett.43.1566

The two-nucleon system at next-to-next-to-next-to-leading order
journal, January 2005

Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G.
Nuclear Physics A, Vol. 747, Issue 2-4
DOI: 10.1016/j.nuclphysa.2004.09.107

A new expansion for nucleon-nucleon interactions
journal, April 1998

Kaplan, David B.; Savage, Martin J.; Wise, Mark B.
Physics Letters B, Vol. 424, Issue 3-4
DOI: 10.1016/S0370-2693(98)00210-X

Neutrinoless double $β$ decay and effective field theory
journal, August 2003

Prézeau, G.; Ramsey-Musolf, M.; Vogel, Petr
Physical Review D, Vol. 68, Issue 3
DOI: 10.1103/PhysRevD.68.034016

Nucleon-nucleon scattering from effective field theory
journal, November 1996

Kaplan, David B.; Savage, Martin J.; Wise, Mark B.
Nuclear Physics B, Vol. 478, Issue 3
DOI: 10.1016/0550-3213(96)00357-4

No-core shell model in an effective-field-theory framework
journal, September 2007

Stetcu, I.; Barrett, B. R.; van Kolck, U.
Physics Letters B, Vol. 653, Issue 2-4
DOI: 10.1016/j.physletb.2007.07.065

Effective Field Theory for Lattice Nuclei
journal, February 2015

Barnea, N.; Contessi, L.; Gazit, D.
Physical Review Letters, Vol. 114, Issue 5
DOI: 10.1103/PhysRevLett.114.052501

Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT
journal, September 2017

Contessi, L.; Lovato, A.; Pederiva, F.
Physics Letters B, Vol. 772
DOI: 10.1016/j.physletb.2017.07.048

Search for Neutrinoless Double- β Decay with the Complete EXO-200 Dataset
journal, October 2019

Anton, G.; Badhrees, I.; Barbeau, P. S.
Physical Review Letters, Vol. 123, Issue 16
DOI: 10.1103/PhysRevLett.123.161802

Parity violation in proton-proton scattering from chiral effective field theory
journal, November 2013

de Vries, J.; Meißner, Ulf-G.; Epelbaum, E.
The European Physical Journal A, Vol. 49, Issue 11
DOI: 10.1140/epja/i2013-13149-9

Nucleon-nucleon potential from an effective chiral Lagrangian
journal, March 1994

Ordóñez, C.; Ray, L.; van Kolck, U.
Physical Review Letters, Vol. 72, Issue 13
DOI: 10.1103/PhysRevLett.72.1982

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays
journal, March 2019

Ejiri, H.; Suhonen, J.; Zuber, K.
Physics Reports, Vol. 797
DOI: 10.1016/j.physrep.2018.12.001

Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
journal, May 2018

Reinert, P.; Krebs, H.; Epelbaum, E.
The European Physical Journal A, Vol. 54, Issue 5
DOI: 10.1140/epja/i2018-12516-4

Neutrino Mass and Spontaneous Parity Nonconservation
journal, April 1980

Mohapatra, Rabindra N.; Senjanović, Goran
Physical Review Letters, Vol. 44, Issue 14
DOI: 10.1103/PhysRevLett.44.912

Δ effects in pion-nucleon scattering and the strength of the two-pion-exchange three-nucleon interaction
journal, June 2005

Pandharipande, V. R.; Phillips, D. R.; Kolck, U. van
Physical Review C, Vol. 71, Issue 6
DOI: 10.1103/PhysRevC.71.064002

High-precision, charge-dependent Bonn nucleon-nucleon potential
journal, January 2001

Machleidt, R.
Physical Review C, Vol. 63, Issue 2
DOI: 10.1103/PhysRevC.63.024001

Charge-dependent nucleon–nucleon potential from chiral effective field theory
journal, October 2001

Walzl, Markus; Meißner, Ulf-G.; Epelbaum, Evgeny
Nuclear Physics A, Vol. 693, Issue 3-4
DOI: 10.1016/S0375-9474(01)00969-1

Accurate nuclear radii and binding energies from a chiral interaction
journal, May 2015

Ekström, A.; Jansen, G. R.; Wendt, K. A.
Physical Review C, Vol. 91, Issue 5
DOI: 10.1103/PhysRevC.91.051301

Six-body calculation of the $α$ -deuteron radiative capture cross section
journal, January 2001

Nollett, K. M.; Wiringa, R. B.; Schiavilla, R.
Physical Review C, Vol. 63, Issue 2
DOI: 10.1103/PhysRevC.63.024003

Ab initio Calculation of the $n p \to d γ$ Radiative Capture Process
journal, September 2015

Beane, Silas R.; Chang, Emmanuel; Detmold, William
Physical Review Letters, Vol. 115, Issue 13
DOI: 10.1103/PhysRevLett.115.132001

Phenomenological Lagrangians
journal, April 1979

Weinberg, Steven
Physica A: Statistical Mechanics and its Applications, Vol. 96, Issue 1-2
DOI: 10.1016/0378-4371(79)90223-1

Erratum: Renormalization of the $NN$ interaction with a chiral two-pion exchange potential. II. Noncentral phases [Phys. Rev. C 74 , 064004 (2006)]
journal, May 2007

Valderrama, M. Pavón; Arriola, E. Ruiz
Physical Review C, Vol. 75, Issue 5
DOI: 10.1103/PhysRevC.75.059905

Double beta decay
journal, January 1959

Primakoff, H.; Rosen, S. P.
Reports on Progress in Physics, Vol. 22, Issue 1
DOI: 10.1088/0034-4885/22/1/305

Double beta decay
journal, December 1969

Fiorini, Ettore
Rendiconti del Seminario Matematico e Fisico di Milano, Vol. 39, Issue 1
DOI: 10.1007/bf02924131

Chiral effective field theory and nuclear forces
text, January 2011

Machleidt, R.; Entem, D. R.
arXiv
DOI: 10.48550/arxiv.1105.2919

Short-range nuclear forces in singlet channels
text, January 2012

Long, Bingwei; Yang, C. -J.
arXiv
DOI: 10.48550/arxiv.1202.4053

Fully Perturbative Calculation of $nd$ Scattering to Next-to-next-to-leading-order
text, January 2013

Vanasse, Jared
arXiv
DOI: 10.48550/arxiv.1305.0283

Effective Field Theory for Lattice Nuclei
text, January 2013

Barnea, N.; Contessi, L.; Gazit, D.
arXiv
DOI: 10.48550/arxiv.1311.4966

Short-range correlation effects on the nuclear matrix element of neutrinoless double-$β$ decay
text, January 2014

Benhar, Omar; Biondi, Riccardo; Speranza, Enrico
arXiv
DOI: 10.48550/arxiv.1401.2030

Search for Majorana neutrinos with the first two years of EXO-200 data
text, January 2014

Collaboration, 200; Albert, J. B.; Auty, D. J.
arXiv
DOI: 10.48550/arxiv.1402.6956

Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
text, January 2016

Collaboration, Zen
arXiv
DOI: 10.48550/arxiv.1605.02889

Ground-State Properties of $^{4}$He and $^{16}$O Extrapolated from Lattice QCD with Pionless EFT
text, January 2017

Contessi, L.; Lovato, A.; Pederiva, F.
arXiv
DOI: 10.48550/arxiv.1701.06516

Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector
text, January 2017

Albert, J. B.; Anton, G.; Badhrees, I.
arXiv
DOI: 10.48550/arxiv.1707.08707

Quantum Monte Carlo calculations of weak transitions in $A\,$=$\,$6--10 nuclei
text, January 2017

Pastore, S.; Baroni, A.; Carlson, J.
arXiv
DOI: 10.48550/arxiv.1709.03592

Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
text, January 2017

Cirigliano, V.; Dekens, W.; Mereghetti, E.
arXiv
DOI: 10.48550/arxiv.1710.01729

Initial Results from the Majorana Demonstrator
preprint, January 2017

Caldwell, T. S.; Abgrall, N.; Alvis, S. I.
arXiv
DOI: 10.48550/arxiv.1711.11145

A new leading contribution to neutrinoless double-beta decay
text, January 2018

Cirigliano, V.; Dekens, W.; de Vries, J.
arXiv
DOI: 10.48550/arxiv.1802.10097

A neutrinoless double beta decay master formula from effective field theory
text, January 2018

Cirigliano, V.; Dekens, W.; de Vries, J.
arXiv
DOI: 10.48550/arxiv.1806.02780

Short-Range Neutrinoless Double Beta Decay Mechanisms
text, January 2018

Graf, Lukas; Deppisch, Frank F.; Iachello, Francesco
arXiv
DOI: 10.48550/arxiv.1806.06058

Perturbative $NN$ scattering in chiral effective field theory
text, January 2018

Wu, Shaowei; Long, Bingwei
arXiv
DOI: 10.48550/arxiv.1807.04407

Search for Neutrinoless Double-Beta Decay with the Complete EXO-200 Dataset
text, January 2019

Anton, G.; Badhrees, I.; Barbeau, P. S.
arXiv
DOI: 10.48550/arxiv.1906.02723

Neutrinoless double-beta decay and effective field theory
text, January 2003

Prézeau, Gary; Ramsey-Musolf, M.; Vogel, Petr
arXiv
DOI: 10.48550/arxiv.hep-ph/0303205

Coulomb Effects in Low Energy Proton-Proton Scattering
text, January 1999

Kong, Xinwei; Ravndal, Finn
arXiv
DOI: 10.48550/arxiv.hep-ph/9903523

Towards a Perturbative Theory of Nuclear Forces
text, January 2001

Beane, S. R.; Bedaque, P. F.; Savage, M. J.
arXiv
DOI: 10.48550/arxiv.nucl-th/0104030

On the correlation between the binding energies of the triton and the alpha-particle
text, January 2004

Platter, L.; Hammer, H. -W.; Meißner, U. -G.
arXiv
DOI: 10.48550/arxiv.nucl-th/0409040

Renormalization of One-Pion Exchange and Power Counting
text, January 2005

Nogga, A.; Timmermans, R. G. E.; van Kolck, U.
arXiv
DOI: 10.48550/arxiv.nucl-th/0506005

Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Non-Central Phases
text, January 2005

Valderrama, M. Pavon; Arriola, E. Ruiz
arXiv
DOI: 10.48550/arxiv.nucl-th/0507075

An accurate nucleon-nucleon potential with charge-independence breaking
text, January 1994

Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
arXiv
DOI: 10.48550/arxiv.nucl-th/9408016

Electromagnetic Corrections to the One-Pion-Exchange Potential
text, January 1997

van Kolck, U.; Rentmeester, M. C. M.; Friar, J. L.
arXiv
DOI: 10.48550/arxiv.nucl-th/9710067

Effective Theory for Neutron-Deuteron Scattering: Energy Dependence
text, January 1998

Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
arXiv
DOI: 10.48550/arxiv.nucl-th/9802057

Two-Nucleon Systems from Effective Field Theory
text, January 1998

Kaplan, David B.; Savage, Martin J.; Wise, Mark B.
arXiv
DOI: 10.48550/arxiv.nucl-th/9802075

Renormalization of the Three-Body System with Short-Range Interactions
text, January 1998

Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
arXiv
DOI: 10.48550/arxiv.nucl-th/9809025

The Three-Boson System with Short-Range Interactions
text, January 1998

Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
arXiv
DOI: 10.48550/arxiv.nucl-th/9811046

Nucleon-Nucleon Effective Field Theory Without Pions
text, January 1999

Chen, Jiunn-Wei; Rupak, Gautam; Savage, Martin J.
arXiv
DOI: 10.48550/arxiv.nucl-th/9902056

Charge-Independence Breaking in the Two-Pion-Exchange Nucleon-Nucleon Force
text, January 1999

Friar, J. L.; van Kolck, U.
arXiv
DOI: 10.48550/arxiv.nucl-th/9906048

NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
text, January 1999

Fleming, Sean; Mehen, Thomas; Stewart, Iain W.
arXiv
DOI: 10.48550/arxiv.nucl-th/9911001

Works referencing / citing this record:

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
journal, January 2020

Piarulli, Maria; Tews, Ingo
Frontiers in Physics, Vol. 7
DOI: 10.3389/fphy.2019.00245

Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
text, January 2020

Piarulli, Maria; Tews, Ingo
arXiv
DOI: 10.48550/arxiv.2002.00032

Similar Records in DOE PAGES and OSTI.GOV collections:

A neutrinoless double beta decay master formula from effective field theory

Journal Article Cirigliano, Vincenzo ; Dekens, Wouter Gerard ; de Vries, Jordy ; ... - Journal of High Energy Physics (Online)

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 ismore »« less
Cited by 53
https://doi.org/10.1007/JHEP12(2018)097

Full Text Available
An electroweak basis for neutrinoless double β decay

Journal Article Graesser, Michael L. - Journal of High Energy Physics (Online)

Here, a discovery of neutrinoless double-β decay would be profound, providing the first direct experimental evidence of ΔL = 2 lepton number violating processes. While a natural explanation is provided by an effective Majorana neutrino mass, other new physics interpretations should be carefully evaluated. At low-energies such new physics could man-ifest itself in the form of color and SU(2)_L × U(1)Y invariant higher dimension operators. Here we determine a complete set of electroweak invariant dimension-9 operators, and our analysis supersedes those that only impose U(1)_em invariance. Imposing electroweak invariance implies: 1) a significantly reduced set of leading order operators comparedmore »« less
Cited by 33
https://doi.org/10.1007/JHEP08(2017)099

Full Text Available
New Leading Contribution to Neutrinoless Double- $β$ Decay

Journal Article Cirigliano, Vincenzo ; Dekens, Wouter ; de Vries, Jordy ; ... - Physical Review Letters

Within the framework of chiral effective field theory, we discuss the leading contributions to the neutrinoless double-beta decay transition operator induced by light Majorana neutrinos. Based on renormalization arguments in both dimensional regularization with minimal subtraction and a coordinate-space cutoff scheme, we show the need to introduce a leading-order short-range operator, missing in all current calculations. We discuss strategies to determine the finite part of the short-range coupling by matching to lattice QCD or by relating it via chiral symmetry to isospin-breaking observables in the two-nucleon sector. Lastly, we speculate on the impact of this new contribution on nuclear matrixmore » elements of relevance to experiment.« less
Cited by 75
https://doi.org/10.1103/PhysRevLett.120.202001
Neutrinoless double beta decay and chiral SU(3)

Journal Article Cirigliano, V. ; Dekens, W. ; Graesser, M. ; ... - Physics Letters B

TeV-scale lepton number violation can affect neutrinoless double beta decay through dimension-9 ΔL=ΔI=2 operators involving two electrons and four quarks. Since the dominant effects within a nucleus are expected to arise from pion exchange, the π^-→π⁺ee matrix elements of the dimension-9 operators are a key hadronic input. Here in this letter we provide estimates for the π^-→π⁺ matrix elements of all Lorentz scalar ΔI=2 four-quark operators relevant to the study of TeV-scale lepton number violation. The analysis is based on chiral SU(3) symmetry, which relates the π^-→π⁺ matrix elements of the ΔI=2 operators to themore »« less
Cited by 30
https://doi.org/10.1016/j.physletb.2017.04.020
Toward Complete Leading-Order Predictions for Neutrinoless Double β Decay

Journal Article Cirigliano, Vincenzo ; Dekens, Wouter ; de Vries, Jordy ; ... - Physical Review Letters

The amplitude for the neutrinoless double β (0νββ) decay of the two-neutron system nn → ppe^–e^– constitutes a key building block for nuclear-structure calculations of heavy nuclei employed in large-scale 0νββ searches. Assuming that the 0νββ process is mediated by a light-Majorana-neutrino exchange, a systematic analysis in chiral effective field theory shows that already at leading order a contact operator is required to ensure renormalizability. Here, we develop a method to estimate the numerical value of its coefficient (in analogy to the Cottingham formula for electromagnetic contributions to hadron masses) and validate the result by reproducing the charge-independence-breaking contribution tomore »« less
https://doi.org/10.1103/physrevlett.126.172002

Full Text Available

Similar Records

Title: Renormalized approach to neutrinoless double-$$β$$ decay

Abstract

Citation Formats

An electroweak basis for neutrinoless double β decay journal, August 2017

Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector journal, February 2018

Nucleon-nucleon effective field theory without pions journal, July 1999

0 ν β β -decay nuclear matrix elements with self-consistent short-range correlations journal, May 2009

Upper limit on the electron antineutrino mass from the Troitsk experiment journal, December 2011

Double- β decay matrix elements from lattice quantum chromodynamics journal, September 2017

Renormalization of one-pion exchange and power counting journal, November 2005

Short-range correlation effects on the nuclear matrix element of neutrinoless double- β decay journal, December 2014

Proton–proton scattering lengths from effective field theory journal, March 1999

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review journal, March 2017

Neutrinoless double- β decay in effective field theory: The light-Majorana neutrino-exchange mechanism journal, June 2018

Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term journal, October 2018

Neutrinoless double- β decay matrix elements in light nuclei journal, January 2018

μ→eγ at a rate of one out of 109 muon decays? journal, April 1977

Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen journal, August 2016

Chiral Dynamics in Nucleons and Nuclei journal, June 1995

Charge-symmetry breaking and the two-pion-exchange two-nucleon interaction journal, August 2003

Quantum Monte Carlo calculations of weak transitions in A = 6 – 10 nuclei journal, February 2018

A survey of pion charge-exchange reactions with nuclei journal, September 1976

Effective theory for neutron-deuteron scattering: Energy dependence journal, August 1998

Perturbative N N scattering in chiral effective field theory journal, February 2019

NNLO corrections to nucleon–nucleon scattering and perturbative pions journal, September 2000

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances journal, February 2015

Electromagnetic Corrections to the One-Pion-Exchange Potential journal, May 1998

Effective theory of the triton journal, August 2000

Nucleon-deuteron scattering from an effective field theory journal, June 1998

Nuclear forces from chiral lagrangians journal, November 1990

Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV journal, August 1993

Chiral effective field theory and nuclear forces journal, June 2011

Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians journal, June 2004

Limit on Neutrinoless β β Decay of Xe 136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge 76 journal, February 2013

Current Status and Future Prospects of the SNO+ Experiment journal, January 2016

Fully perturbative calculation of n d scattering to next-to-next-to-leading order journal, October 2013

Towards a perturbative theory of nuclear forces journal, March 2002

Initial Results from the Majorana Demonstrator journal, September 2017

Two-nucleon systems from effective field theory journal, November 1998

Power counting with one-pion exchange journal, July 2006

Effective theory of 3 H and 3 He journal, April 2016

Anatomy of the 0 ν β β nuclear matrix elements journal, April 2008

Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order journal, May 2015

Jastrow functions in double- β decay journal, March 2011

Pion-less effective field theory for atomic nuclei and lattice nuclei journal, November 2018

Chiral quarks and the non-relativistic quark model journal, March 1984

A neutrinoless double beta decay master formula from effective field theory journal, December 2018

Power Counting of Contact-Range Currents in Effective Field Theory journal, February 2015

Additional nucleon current contributions to neutrinoless double β decay journal, October 1999

Coulomb effects in low energy proton–proton scattering journal, February 2000

Disassembling the nuclear matrix elements of the neutrinoless ββ decay journal, March 2009

On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting journal, October 2012

Neutrinoless double- β decay in SU(2)×U(1) theories journal, June 1982

Double beta decay journal, January 1984

On the correlation between the binding energies of the triton and the α-particle journal, February 2005

Chiral Two-Body Currents in Nuclei: Gamow-Teller Transitions and Neutrinoless Double-Beta Decay journal, August 2011

Accurate nucleon-nucleon potential with charge-independence breaking journal, January 1995

Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology journal, August 2017

First Result on the Neutrinoless Double- β Decay of Se 82 with CUPID-0 journal, June 2018

The three-boson system with short-range interactions journal, February 1999

Light-Neutrino Exchange and Long-Distance Contributions to 0 ν 2 β Decays: An Exploratory Study on π π → e e journal, January 2019

Renormalization of the Three-Body System with Short-Range Interactions journal, January 1999

Phenomenological aspects of isospin violation in the nuclear force journal, March 1996

Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics journal, August 2017

Quenching of nuclear matrix elements for 0 ν β β decay by chiral two-body currents journal, September 2018

First Results from CUORE: A Search for Lepton Number Violation via 0 ν β β Decay of Te 130 journal, March 2018

Improved Limit on Neutrinoless Double- β Decay of Ge 76 from GERDA Phase II journal, March 2018

Two-nucleon potential from chiral Lagrangians journal, May 1996

Search for Neutrinoless Double- β Decay in Ge 76 with the Majorana Demonstrator journal, March 2018

Ground-state energy of pionic hydrogen to one loop journal, November 2002

Discrepancy between experimental and theoretical β-decay rates resolved from first principles journal, March 2019

Heavy Physics Contributions to Neutrinoless Double Beta Decay from QCD journal, October 2018

Renormalization of the NN interaction with a chiral two-pion exchange potential. II. Noncentral phases journal, December 2006

Spectra and scattering of light lattice nuclei from effective field theory journal, November 2015

Effective field theory of short-range forces journal, January 1999

Local chiral potentials with Δ -intermediate states and the structure of light nuclei journal, November 2016

Short-range neutrinoless double beta decay mechanisms journal, November 2018

Charge symmetry, quarks and mesons journal, October 1990

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS journal, December 2002

Results on Neutrinoless Double- β Decay of Ge 76 from Phase I of the GERDA Experiment journal, September 2013

An electroweak basis for neutrinoless double β decay
journal, August 2017

Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector
journal, February 2018

Nucleon-nucleon effective field theory without pions
journal, July 1999

$0 ν β β$ -decay nuclear matrix elements with self-consistent short-range correlations
journal, May 2009

Upper limit on the electron antineutrino mass from the Troitsk experiment
journal, December 2011

Double- $β$ decay matrix elements from lattice quantum chromodynamics
journal, September 2017

Renormalization of one-pion exchange and power counting
journal, November 2005

Short-range correlation effects on the nuclear matrix element of neutrinoless double- β decay
journal, December 2014

Proton–proton scattering lengths from effective field theory
journal, March 1999

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review
journal, March 2017

Neutrinoless double- $β$ decay in effective field theory: The light-Majorana neutrino-exchange mechanism
journal, June 2018

Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
journal, October 2018

Neutrinoless double- $β$ decay matrix elements in light nuclei
journal, January 2018

μ→eγ at a rate of one out of 109 muon decays?
journal, April 1977

Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen
journal, August 2016

Chiral Dynamics in Nucleons and Nuclei
journal, June 1995

Charge-symmetry breaking and the two-pion-exchange two-nucleon interaction
journal, August 2003

Quantum Monte Carlo calculations of weak transitions in $A = 6 - 10$ nuclei
journal, February 2018

A survey of pion charge-exchange reactions with nuclei
journal, September 1976

Effective theory for neutron-deuteron scattering: Energy dependence
journal, August 1998

Perturbative N N scattering in chiral effective field theory
journal, February 2019

NNLO corrections to nucleon–nucleon scattering and perturbative pions
journal, September 2000

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including $Δ$ resonances
journal, February 2015

Electromagnetic Corrections to the One-Pion-Exchange Potential
journal, May 1998

Effective theory of the triton
journal, August 2000

Nucleon-deuteron scattering from an effective field theory
journal, June 1998

Nuclear forces from chiral lagrangians
journal, November 1990

Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV
journal, August 1993

Chiral effective field theory and nuclear forces
journal, June 2011

Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
journal, June 2004

Limit on Neutrinoless $β β$ Decay of ${}^{136}{Xe}$ from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in ${}^{76}{Ge}$
journal, February 2013

Current Status and Future Prospects of the SNO+ Experiment
journal, January 2016

Fully perturbative calculation of $n d$ scattering to next-to-next-to-leading order
journal, October 2013

Towards a perturbative theory of nuclear forces
journal, March 2002

Initial Results from the Majorana Demonstrator
journal, September 2017

Two-nucleon systems from effective field theory
journal, November 1998

Power counting with one-pion exchange
journal, July 2006

Effective theory of ³ H and ³ He
journal, April 2016

Anatomy of the $0 ν β β$ nuclear matrix elements
journal, April 2008

Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
journal, May 2015

Jastrow functions in double- β decay
journal, March 2011

Pion-less effective field theory for atomic nuclei and lattice nuclei
journal, November 2018

Chiral quarks and the non-relativistic quark model
journal, March 1984

A neutrinoless double beta decay master formula from effective field theory
journal, December 2018

Power Counting of Contact-Range Currents in Effective Field Theory
journal, February 2015

Additional nucleon current contributions to neutrinoless double $β$ decay
journal, October 1999

Coulomb effects in low energy proton–proton scattering
journal, February 2000

Disassembling the nuclear matrix elements of the neutrinoless ββ decay
journal, March 2009

On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting
journal, October 2012

Neutrinoless double- $β$ decay in SU(2)×U(1) theories
journal, June 1982

Double beta decay
journal, January 1984

On the correlation between the binding energies of the triton and the α-particle
journal, February 2005

Chiral Two-Body Currents in Nuclei: Gamow-Teller Transitions and Neutrinoless Double-Beta Decay
journal, August 2011

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- $β$ Decay Phenomenology
journal, August 2017

First Result on the Neutrinoless Double- $β$ Decay of ${}^{82}{Se}$ with CUPID-0
journal, June 2018

The three-boson system with short-range interactions
journal, February 1999

Light-Neutrino Exchange and Long-Distance Contributions to $0 ν 2 β$ Decays: An Exploratory Study on $π π \to e e$
journal, January 2019

Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999

Phenomenological aspects of isospin violation in the nuclear force
journal, March 1996

Proton-Proton Fusion and Tritium $β$ Decay from Lattice Quantum Chromodynamics
journal, August 2017

Quenching of nuclear matrix elements for $0 ν β β$ decay by chiral two-body currents
journal, September 2018

First Results from CUORE: A Search for Lepton Number Violation via $0 ν β β$ Decay of ${}^{130}{Te}$
journal, March 2018

Improved Limit on Neutrinoless Double- $β$ Decay of ${}^{76}{Ge}$ from GERDA Phase II
journal, March 2018

Two-nucleon potential from chiral Lagrangians
journal, May 1996

Search for Neutrinoless Double- $β$ Decay in ${}^{76}{Ge}$ with the Majorana Demonstrator
journal, March 2018

Ground-state energy of pionic hydrogen to one loop
journal, November 2002

Discrepancy between experimental and theoretical β-decay rates resolved from first principles
journal, March 2019

Heavy Physics Contributions to Neutrinoless Double Beta Decay from QCD
journal, October 2018

Renormalization of the $NN$ interaction with a chiral two-pion exchange potential. II. Noncentral phases
journal, December 2006

Spectra and scattering of light lattice nuclei from effective field theory
journal, November 2015

Effective field theory of short-range forces
journal, January 1999

Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei
journal, November 2016

Short-range neutrinoless double beta decay mechanisms
journal, November 2018

Charge symmetry, quarks and mesons
journal, October 1990

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
journal, December 2002

Results on Neutrinoless Double- $β$ Decay of ${}^{76}{Ge}$ from Phase I of the GERDA Experiment
journal, September 2013

Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991

Short-range nuclear forces in singlet channels
journal, August 2012

New Leading Contribution to Neutrinoless Double- $β$ Decay
journal, May 2018