Double- decay matrix elements from lattice quantum chromodynamics
Abstract
A lattice quantum chromodynamics (LQCD) calculation of the nuclear matrix element relevant to the $$nn\to ppee\overline{\nu}_e\overline{\nu}_e$$ transition is described in detail, expanding on the results presented in Ref. [1]. This matrix element, which involves two insertions of the weak axial current, is an important input for phenomenological determinations of double-$$\beta$$ decay rates of nuclei. From this exploratory study, performed using unphysical values of the quark masses, the long-distance deuteron-pole contribution to the matrix element is separated from shorter-distance hadronic contributions. This polarizability, which is only accessible in double-weak processes, cannot be constrained from single-$$\beta$$ decay of nuclei, and is found to be smaller than the long-distance contributions in this calculation, but non-negligible. In this work, technical aspects of the LQCD calculations, and of the relevant formalism in the pionless effective field theory, are described. Further calculations of the isotensor axial polarizability, in particular near and at the physical values of the light-quark masses, are required for precise determinations of both two-neutrino and neutrinoless double-$$\beta$$ decay rates in heavy nuclei.
- Authors:
-
- City Univ. (CUNY), NY (United States). Dept. of Physics, Graduate School and University Center
- Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory, Dept. of Physics
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
- College of William and Mary, Williamsburg, VA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Org.:
- NPLQCD Collaboration
- OSTI Identifier:
- 1399867
- Alternate Identifier(s):
- OSTI ID: 1389119
- Report Number(s):
- JLAB-THY-17-2500; DOE/OR/-23177-4170; arXiv:1702.02929
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1703218
- Grant/Contract Number:
- PHY11-25915; PHY15-15738; AC02-05CH11231; AC05-00OR22725; SC00-10337; FG02-00ER41132; SC0011090; FG02-04ER41302; SC0010495; AC05-06OR23177; SC0010337
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Tiburzi, Brian C., Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Davoudi, Zohreh, Detmold, William, Orginos, Kostas, Savage, Martin J., and Shanahan, Phiala E. Double-β decay matrix elements from lattice quantum chromodynamics. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.054505.
Tiburzi, Brian C., Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Davoudi, Zohreh, Detmold, William, Orginos, Kostas, Savage, Martin J., & Shanahan, Phiala E. Double-β decay matrix elements from lattice quantum chromodynamics. United States. https://doi.org/10.1103/PhysRevD.96.054505
Tiburzi, Brian C., Wagman, Michael L., Winter, Frank, Chang, Emmanuel, Davoudi, Zohreh, Detmold, William, Orginos, Kostas, Savage, Martin J., and Shanahan, Phiala E. Mon .
"Double-β decay matrix elements from lattice quantum chromodynamics". United States. https://doi.org/10.1103/PhysRevD.96.054505. https://www.osti.gov/servlets/purl/1399867.
@article{osti_1399867,
title = {Double-β decay matrix elements from lattice quantum chromodynamics},
author = {Tiburzi, Brian C. and Wagman, Michael L. and Winter, Frank and Chang, Emmanuel and Davoudi, Zohreh and Detmold, William and Orginos, Kostas and Savage, Martin J. and Shanahan, Phiala E.},
abstractNote = {A lattice quantum chromodynamics (LQCD) calculation of the nuclear matrix element relevant to the $nn\to ppee\overline{\nu}_e\overline{\nu}_e$ transition is described in detail, expanding on the results presented in Ref. [1]. This matrix element, which involves two insertions of the weak axial current, is an important input for phenomenological determinations of double-$\beta$ decay rates of nuclei. From this exploratory study, performed using unphysical values of the quark masses, the long-distance deuteron-pole contribution to the matrix element is separated from shorter-distance hadronic contributions. This polarizability, which is only accessible in double-weak processes, cannot be constrained from single-$\beta$ decay of nuclei, and is found to be smaller than the long-distance contributions in this calculation, but non-negligible. In this work, technical aspects of the LQCD calculations, and of the relevant formalism in the pionless effective field theory, are described. Further calculations of the isotensor axial polarizability, in particular near and at the physical values of the light-quark masses, are required for precise determinations of both two-neutrino and neutrinoless double-$\beta$ decay rates in heavy nuclei.},
doi = {10.1103/PhysRevD.96.054505},
journal = {Physical Review D},
number = 5,
volume = 96,
place = {United States},
year = {Mon Sep 11 00:00:00 EDT 2017},
month = {Mon Sep 11 00:00:00 EDT 2017}
}
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Works referenced in this record:
Continuum limit and improved action in lattice theories
journal, September 1983
- Symanzik, K.
- Nuclear Physics B, Vol. 226, Issue 1
Axial polarizability and weak currents in nuclei
journal, November 1976
- Delorme, J.; Ericson, M.; Figureau, A.
- Annals of Physics, Vol. 102, Issue 1
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
Neutrinoless Double-Beta Decay: a Brief Review
journal, April 2012
- Bilenky, S. M.; Giunti, C.
- Modern Physics Letters A, Vol. 27, Issue 13
Long distance contribution to the mass difference
journal, July 2013
- Christ, N. H.; Izubuchi, T.; Sachrajda, C. T.
- Physical Review D, Vol. 88, Issue 1
Scalar densities and baryon mass differences in lattice QCD with Wilson fermions
journal, January 1987
- Maiani, L.; Martinelli, G.; Paciello, M. L.
- Nuclear Physics B, Vol. 293
Nonrenormalization Theorem for the Strangeness-Violating Vector Currents
journal, August 1964
- Ademollo, M.; Gatto, R.
- Physical Review Letters, Vol. 13, Issue 7
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
Prospects for a lattice computation of rare kaon decay amplitudes: decays
journal, November 2015
- Christ, N. H.; Feng, X.; Portelli, A.
- Physical Review D, Vol. 92, Issue 9
Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- Decay Phenomenology
journal, August 2017
- Shanahan, Phiala E.; Tiburzi, Brian C.; Wagman, Michael L.
- Physical Review Letters, Vol. 119, Issue 6
Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010
- Clark, M. A.; Babich, R.; Barros, K.
- Computer Physics Communications, Vol. 181, Issue 9
Double beta decay, Majorana neutrinos, and neutrino mass
journal, April 2008
- Avignone, Frank T.; Elliott, Steven R.; Engel, Jonathan
- Reviews of Modern Physics, Vol. 80, Issue 2
Neutrino-deuteron scattering in effective field theory at next-to-next-to-leading order
journal, February 2001
- Butler, Malcolm; Chen, Jiunn-Wei; Kong, Xinwei
- Physical Review C, Vol. 63, Issue 3
Precise half-life values for two-neutrino double- decay
journal, March 2010
- Barabash, A. S.
- Physical Review C, Vol. 81, Issue 3
Hadronic vacuum polarization and muon from magnetic susceptibilities on the lattice
journal, September 2015
- Bali, Gunnar S.; Endrődi, Gergely
- Physical Review D, Vol. 92, Issue 5
Moving multichannel systems in a finite volume with application to proton-proton fusion
journal, November 2013
- Briceño, Raúl A.; Davoudi, Zohreh
- Physical Review D, Vol. 88, Issue 9
Proton-Proton Fusion and Tritium Decay from Lattice Quantum Chromodynamics
journal, August 2017
- Savage, Martin J.; Shanahan, Phiala E.; Tiburzi, Brian C.
- Physical Review Letters, Vol. 119, Issue 6
Finite-volume electromagnetic corrections to the masses of mesons, baryons, and nuclei
journal, September 2014
- Davoudi, Zohreh; Savage, Martin J.
- Physical Review D, Vol. 90, Issue 5
Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions
journal, May 2001
- Lellouch, Laurent; Lüscher, Martin
- Communications in Mathematical Physics, Vol. 219, Issue 1
Perturbative calculation of the electromagnetic form factors of the deuteron
journal, February 1999
- Kaplan, David B.; Savage, Martin J.; Wise, Mark B.
- Physical Review C, Vol. 59, Issue 2
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
Sea quark contributions to the electric polarizability of hadrons
journal, September 2014
- Freeman, Walter; Alexandru, Andrei; Lujan, Mike
- Physical Review D, Vol. 90, Issue 5
Relativistic, model-independent, multichannel transition amplitudes in a finite volume
journal, July 2016
- Briceño, Raúl A.; Hansen, Maxwell T.
- Physical Review D, Vol. 94, Issue 1
Neutrinoless Double Beta Decay: 2015 Review
journal, January 2016
- Dell’Oro, Stefano; Marcocci, Simone; Viel, Matteo
- Advances in High Energy Physics, Vol. 2016
Two-nucleon systems in a finite volume: Quantization conditions
journal, August 2013
- Briceño, Raúl; Davoudi, Zohreh; Luu, Thomas
- Physical Review D, Vol. 88, Issue 3
Nuclear terms and scalar-isoscalar WIMP-nucleus interactions from lattice QCD
journal, April 2014
- Beane, S. R.; Cohen, S. D.; Detmold, W.
- Physical Review D, Vol. 89, Issue 7
Two-particle elastic scattering in a finite volume including QED
journal, October 2014
- Beane, Silas R.; Savage, Martin J.
- Physical Review D, Vol. 90, Issue 7
Magnetic structure of light nuclei from lattice QCD
journal, December 2015
- Chang, Emmanuel; Detmold, William; Orginos, Kostas
- Physical Review D, Vol. 92, Issue 11
The proton and neutron magnetic moments in lattice QCD
journal, October 1982
- Martinelli, G.; Parisi, G.; Petronzio, R.
- Physics Letters B, Vol. 116, Issue 6
New calculations for phase space factors involved in double- decay
journal, September 2013
- Stoica, Sabin; Mirea, Mihail
- Physical Review C, Vol. 88, Issue 3
Improved continuum limit lattice action for QCD with wilson fermions
journal, September 1985
- Sheikholeslami, B.; Wohlert, R.
- Nuclear Physics B, Vol. 259, Issue 4
Effective field theory of short-range forces
journal, January 1999
- van Kolck, U.
- Nuclear Physics A, Vol. 645, Issue 2
Flavor singlet physics in lattice QCD with background fields
journal, March 2005
- Detmold, W.
- Physical Review D, Vol. 71, Issue 5
Magnetic polarizability of hadrons from lattice QCD in the background field method
journal, February 2006
- Lee, Frank X.; Zhou, Leming; Wilcox, Walter
- Physical Review D, Vol. 73, Issue 3
More effective field theory for non-relativistic scattering
journal, June 1997
- Kaplan, David B.
- Nuclear Physics B, Vol. 494, Issue 1-2
Elastic and inelastic neutrino–deuteron scattering in effective field theory
journal, August 2000
- Butler, Malcolm; Chen, Jiunn-Wei
- Nuclear Physics A, Vol. 675, Issue 3-4
Implementation of general background electromagnetic fields on a periodic hypercubic lattice
journal, October 2015
- Davoudi, Zohreh; Detmold, William
- Physical Review D, Vol. 92, Issue 7
Ab initio calculation of the neutron-proton mass difference
journal, March 2015
- Borsanyi, S.; Durr, S.; Fodor, Z.
- Science, Vol. 347, Issue 6229
Pionic matrix elements in neutrinoless double- decay
journal, April 1999
- Savage, Martin J.
- Physical Review C, Vol. 59, Issue 4
Nucleon-nucleon scattering parameters in the limit of SU(3) flavor symmetry
journal, August 2013
- Beane, S. R.; Chang, E.; Cohen, S. D.
- Physical Review C, Vol. 88, Issue 2
Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states
journal, June 1986
- Lüscher, M.
- Communications in Mathematical Physics, Vol. 105, Issue 2
Exploratory Lattice QCD Study of the Rare Kaon Decay
journal, June 2017
- Bai, Ziyuan; Christ, Norman H.; Feng, Xu
- Physical Review Letters, Vol. 118, Issue 25
Proton-proton fusion in effective field theory
journal, August 2001
- Kong, Xinwei; Ravndal, Finn
- Physical Review C, Vol. 64, Issue 4
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
Continuum limit and improved action in lattice theories
journal, September 1983
- Symanzik, K.
- Nuclear Physics B, Vol. 226, Issue 1
Neutrinoless double decay and effective field theory
journal, August 2003
- Prézeau, G.; Ramsey-Musolf, M.; Vogel, Petr
- Physical Review D, Vol. 68, Issue 3
Rearranging pionless effective field theory
journal, November 2001
- Beane, Silas R.; Savage, Martin J.
- Nuclear Physics A, Vol. 694, Issue 3-4
On-shell improved lattice gauge theories
journal, March 1985
- Lüscher, M.; Weisz, P.
- Communications in Mathematical Physics, Vol. 97, Issue 1-2
Effects of finite volume on the mass difference
journal, June 2015
- Christ, N. H.; Feng, X.; Martinelli, G.
- Physical Review D, Vol. 91, Issue 11
First exploratory calculation of the long-distance contributions to the rare kaon decays
journal, December 2016
- Christ, Norman H.; Feng, Xu; Jüttner, Andreas
- Physical Review D, Vol. 94, Issue 11
Octet baryon magnetic moments from lattice QCD: Approaching experiment from a three-flavor symmetric point
journal, June 2017
- Parreño, Assumpta; Savage, Martin J.; Tiburzi, Brian C.
- Physical Review D, Vol. 95, Issue 11
Disconnected contributions to the spin of the nucleon
journal, December 2015
- Chambers, A. J.; Horsley, R.; Nakamura, Y.
- Physical Review D, Vol. 92, Issue 11
First evaluation of in lattice QCD in the quenched approximation
journal, August 1982
- Fucito, F.; Parisi, G.; Petrarca, S.
- Physics Letters B, Vol. 115, Issue 2
Prospects for a lattice computation of rare kaon decay amplitudes. II. decays
journal, June 2016
- Christ, Norman H.; Feng, Xu; Portelli, Antonin
- Physical Review D, Vol. 93, Issue 11
Effective Field Theory for Lattice Nuclei
journal, February 2015
- Barnea, N.; Contessi, L.; Gazit, D.
- Physical Review Letters, Vol. 114, Issue 5
Electromagnetic and spin polarizabilities in lattice QCD
journal, June 2006
- Detmold, W.; Tiburzi, B. C.; Walker-Loud, A.
- Physical Review D, Vol. 73, Issue 11
A framework for the calculation of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math> transition form factors on the lattice
journal, September 2014
- Agadjanov, Andria; Bernard, Véronique; Meißner, Ulf-G.
- Nuclear Physics B, Vol. 886
Neutrinoless double beta decay and chiral SU (3)
journal, June 2017
- Cirigliano, V.; Dekens, W.; Graesser, M.
- Physics Letters B, Vol. 769
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
On the Feynman-Hellmann theorem in quantum field theory and the calculation of matrix elements
journal, July 2017
- Bouchard, Chris; Chang, Chia Cheng; Kurth, Thorsten
- Physical Review D, Vol. 96, Issue 1
Theory of neutrinos: a white paper
journal, October 2007
- Mohapatra, R. N.; Antusch, S.; Babu, K. S.
- Reports on Progress in Physics, Vol. 70, Issue 11
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
Lattice Quantum-Chromodynamics Calculation of Some Baryon Magnetic Moments
journal, October 1982
- Bernard, Claude; Draper, Terrence; Olynyk, Kirk
- Physical Review Letters, Vol. 49, Issue 15
Two nucleons on a lattice
journal, April 2004
- Beane, S. R.; Bedaque, P. F.; Parreño, A.
- Physics Letters B, Vol. 585, Issue 1-2
Light nuclei and hypernuclei from quantum chromodynamics in the limit of SU(3) flavor symmetry
journal, February 2013
- Beane, S. R.; Chang, E.; Cohen, S. D.
- Physical Review D, Vol. 87, Issue 3
Feynman-Hellmann approach to the spin structure of hadrons
journal, July 2014
- Chambers, A. J.; Horsley, R.; Nakamura, Y.
- Physical Review D, Vol. 90, Issue 1
Two-particle states on a torus and their relation to the scattering matrix
journal, May 1991
- Lüscher, Martin
- Nuclear Physics B, Vol. 354, Issue 2-3
Unitary Limit of Two-Nucleon Interactions in Strong Magnetic Fields
journal, March 2016
- Detmold, William; Orginos, Kostas; Parreño, Assumpta
- Physical Review Letters, Vol. 116, Issue 11
Extracting electric polarizabilities from lattice QCD
journal, May 2009
- Detmold, W.; Tiburzi, B. C.; Walker-Loud, A.
- Physical Review D, Vol. 79, Issue 9
Extracting nucleon magnetic moments and electric polarizabilities from lattice QCD in background electric fields
journal, March 2010
- Detmold, W.; Tiburzi, B. C.; Walker-Loud, A.
- Physical Review D, Vol. 81, Issue 5
Phase-space factors for double- decay
journal, March 2012
- Kotila, J.; Iachello, F.
- Physical Review C, Vol. 85, Issue 3
Up, down, and strange nucleon axial form factors from lattice QCD
journal, June 2017
- Green, Jeremy; Hasan, Nesreen; Meinel, Stefan
- Physical Review D, Vol. 95, Issue 11
Ab initio Calculation of the Radiative Capture Process
journal, September 2015
- Beane, Silas R.; Chang, Emmanuel; Detmold, William
- Physical Review Letters, Vol. 115, Issue 13
Isovector charges of the nucleon from -flavor QCD with clover fermions
journal, April 2017
- Yoon, Boram; Jang, Yong-Chull; Gupta, Rajan
- Physical Review D, Vol. 95, Issue 7
Magnetic Moments of Light Nuclei from Lattice Quantum Chromodynamics
journal, December 2014
- Beane, S. R.; Chang, E.; Cohen, S.
- Physical Review Letters, Vol. 113, Issue 25
The Chroma Software System for Lattice QCD
journal, March 2005
- Edwards, Robert G.; Joó, Bálint
- Nuclear Physics B - Proceedings Supplements, Vol. 140
Improving the convergence of NN effective field theory
journal, February 2000
- Phillips, Daniel R.; Rupak, Gautam; Savage, Martin J.
- Physics Letters B, Vol. 473, Issue 3-4
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- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 474, Issue 2217
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- Detmold, William; Edwards, Robert G.; Dudek, Jozef J.
- The European Physical Journal A, Vol. 55, Issue 11
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journal, November 2017
- Suhonen, Jouni T.
- Frontiers in Physics, Vol. 5
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text, January 2017
- Hill, Richard J.; Kammel, Peter; Marciano, William J.
- arXiv
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text, January 2019
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