Lattice calculation of electric dipole moments and form factors of the nucleon

Abramczyk, M.; Aoki, S.; Blum, T.; Izubuchi, T.; Ohki, H.; Syritsyn, S.

doi:10.1103/PhysRevD.96.014501

Title: Lattice calculation of electric dipole moments and form factors of the nucleon

Abstract

Here, we analyze commonly used expressions for computing the nucleon electric dipole form factors (EDFF) F₃ and moments (EDM) on a lattice and find that they lead to spurious contributions from the Pauli form factor F₂ due to inadequate definition of these form factors when parity mixing of lattice nucleon fields is involved. Using chirally symmetric domain wall fermions, we calculate the proton and the neutron EDFF induced by the CP-violating quark chromo-EDM interaction using the corrected expression. In addition, we calculate the electric dipole moment of the neutron using a background electric field that respects time translation invariance and boundary conditions, and we find that it decidedly agrees with the new formula but not the old formula for F₃. Finally, we analyze some selected lattice results for the nucleon EDM and observe that after the correction is applied, they either agree with zero or are substantially reduced in magnitude, thus reconciling their difference from phenomenological estimates of the nucleon EDM.

Authors:

Abramczyk, M. ^[1]; Aoki, S. ^[2]; Blum, T. ^[3]; Izubuchi, T. ^[4]; Ohki, H. ^[5]; Syritsyn, S. ^[6]

Univ. of Connecticut, Storrs, CT (United States). Physics Dept.
Kyoto Univ. (Japan). Center for Gravitational Physics. Yukawa Inst. for Theoretical Physics; Univ. of Tsukuba (Japan). Center for Computational Sciences
Univ. of Connecticut, Storrs, CT (United States). Physics Dept.; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN/BNL Research Center
Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept. RIKEN/BNL Research Center
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN/BNL Research Center
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN/BNL Research Center

Publication Date:: Mon Jul 10 00:00:00 EDT 2017

Research Org.:: Univ. of Connecticut, Storrs, CT (United States); Kyoto Univ. (Japan); Brookhaven National Laboratory (BNL), Upton, NY (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Japan); Japanese Ministry of Education, Sciences and Technology, Sports and Culture (MEXT)

OSTI Identifier:: 1374994

Alternate Identifier(s):: OSTI ID: 1369096; OSTI ID: 1413954; OSTI ID: 1425169

Report Number(s):: JLAB-THY-17-2449; DOE/OR/23177-4122; arXiv:1701.07792; RBRC-1226; BNL-114795-2017-JA; BNL-203306-2018-JAAM
Journal ID: ISSN 2470-0010

Grant/Contract Number:: FG02-92ER40716; AC02-98CH10886; SC0012704; AC05-06OR23177; JP16H03978; JP17H02906; 26400261; NSF PHY11-25915

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 96; Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; electric moment; form factors; lattice QCD; CP violation; chiral symmetry; EDM; EDFF; parity; lattice; CP; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Abramczyk, M., Aoki, S., Blum, T., Izubuchi, T., Ohki, H., and Syritsyn, S. Lattice calculation of electric dipole moments and form factors of the nucleon.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.96.014501.

Copy to clipboard


                    Abramczyk, M., Aoki, S., Blum, T., Izubuchi, T., Ohki, H., & Syritsyn, S. Lattice calculation of electric dipole moments and form factors of the nucleon.  United States.  https://doi.org/10.1103/PhysRevD.96.014501

Copy to clipboard


                    Abramczyk, M., Aoki, S., Blum, T., Izubuchi, T., Ohki, H., and Syritsyn, S. Mon .  
"Lattice calculation of electric dipole moments and form factors of the nucleon".  United States.  https://doi.org/10.1103/PhysRevD.96.014501.  https://www.osti.gov/servlets/purl/1374994.

Copy to clipboard


                    
@article{osti_1374994,

  title        = {Lattice calculation of electric dipole moments and form factors of the nucleon},

  author       = {Abramczyk, M. and Aoki, S. and Blum, T. and Izubuchi, T. and Ohki, H. and Syritsyn, S.},

  abstractNote = {Here, we analyze commonly used expressions for computing the nucleon electric dipole form factors (EDFF) F3 and moments (EDM) on a lattice and find that they lead to spurious contributions from the Pauli form factor F2 due to inadequate definition of these form factors when parity mixing of lattice nucleon fields is involved. Using chirally symmetric domain wall fermions, we calculate the proton and the neutron EDFF induced by the CP-violating quark chromo-EDM interaction using the corrected expression. In addition, we calculate the electric dipole moment of the neutron using a background electric field that respects time translation invariance and boundary conditions, and we find that it decidedly agrees with the new formula but not the old formula for F3. Finally, we analyze some selected lattice results for the nucleon EDM and observe that after the correction is applied, they either agree with zero or are substantially reduced in magnitude, thus reconciling their difference from phenomenological estimates of the nucleon EDM.},

  doi          = {10.1103/PhysRevD.96.014501},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 96,

  place        = {United States},

  year         = {Mon Jul 10 00:00:00 EDT 2017},

  month        = {Mon Jul 10 00:00:00 EDT 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevD.96.014501

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 36 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

$2 + 1$ flavor domain wall QCD on a $(2 fm)^{3}$ lattice: Light meson spectroscopy with $L_{s} = 16$
journal, July 2007

Allton, C.; Antonio, D. J.; Blum, T.
Physical Review D, Vol. 76, Issue 1
DOI: 10.1103/PhysRevD.76.014504

Electric Dipole Moment of the Neutron from $2 + 1$ Flavor Lattice QCD
journal, August 2015

Guo, F. -K.; Horsley, R.; Meißner, U. -G.
Physical Review Letters, Vol. 115, Issue 6
DOI: 10.1103/PhysRevLett.115.062001

Nucleon electric dipole moment with the gradient flow: The $θ$ -term contribution
journal, November 2015

Shindler, Andrea; Luu, Thomas; de Vries, Jordy
Physical Review D, Vol. 92, Issue 9
DOI: 10.1103/PhysRevD.92.094518

Continuum limit physics from $2 + 1$ flavor domain wall QCD
journal, April 2011

Aoki, Y.; Arthur, R.; Blum, T.
Physical Review D, Vol. 83, Issue 7
DOI: 10.1103/PhysRevD.83.074508

Neutron electric dipole moment in lattice QCD
journal, September 1989

Aoki, Sinya; Gocksch, Andreas
Physical Review Letters, Vol. 63, Issue 11
DOI: 10.1103/PhysRevLett.63.1125

Covariant approximation averaging
journal, June 2015

Shintani, Eigo; Arthur, Rudy; Blum, Thomas
Physical Review D, Vol. 91, Issue 11
DOI: 10.1103/PhysRevD.91.114511

Full QCD calculation of neutron electric dipole moment with the external electric field method
journal, July 2008

Shintani, E.; Aoki, S.; Kuramashi, Y.
Physical Review D, Vol. 78, Issue 1
DOI: 10.1103/PhysRevD.78.014503

Neutron electric dipole moment from lattice QCD
journal, July 2005

Shintani, E.; Aoki, S.; Ishizuka, N.
Physical Review D, Vol. 72, Issue 1
DOI: 10.1103/PhysRevD.72.014504

Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation
journal, April 2014

Shanahan, P. E.; Horsley, R.; Nakamura, Y.
Physical Review D, Vol. 89, Issue 7
DOI: 10.1103/PhysRevD.89.074511

$K$ to $π π$ decay amplitudes from lattice QCD
journal, December 2011

Blum, T.; Boyle, P. A.; Christ, N. H.
Physical Review D, Vol. 84, Issue 11
DOI: 10.1103/PhysRevD.84.114503

Neutron electric dipole moment from electric and chromoelectric dipole moments of quarks
journal, March 2001

Pospelov, Maxim; Ritz, Adam
Physical Review D, Vol. 63, Issue 7
DOI: 10.1103/PhysRevD.63.073015

Baryon electric dipole moments from strong CP violation
journal, December 2012

Guo, Feng-Kun; Meißner, Ulf-G.
Journal of High Energy Physics, Vol. 2012, Issue 12
DOI: 10.1007/JHEP12(2012)097

Reevaluation of neutron electric dipole moment with QCD sum rules
journal, June 2012

Hisano, Junji; Lee, Jeong Yong; Nagata, Natsumi
Physical Review D, Vol. 85, Issue 11
DOI: 10.1103/PhysRevD.85.114044

Chiral estimate of the electric dipole moment of the neutron in quantum chromodynamics
journal, December 1979

Crewther, R. J.; Di Vecchia, P.; Veneziano, G.
Physics Letters B, Vol. 88, Issue 1-2
DOI: 10.1016/0370-2693(79)90128-X

Neutron Electric Dipole Moment in Lattice QCD
journal, August 1990

Aoki, Sinya; Gocksch, Andreas
Physical Review Letters, Vol. 65, Issue 9
DOI: 10.1103/PhysRevLett.65.1172

Neutron and proton electric dipole moments from $N_{f} = 2 + 1$ domain-wall fermion lattice QCD
journal, May 2016

Shintani, Eigo; Blum, Thomas; Izubuchi, Taku
Physical Review D, Vol. 93, Issue 9
DOI: 10.1103/PhysRevD.93.094503

Strong CP-violation in an effective chiral lagrangian approach
journal, December 1991

Pich, Antonio; de Rafael, Eduardo
Nuclear Physics B, Vol. 367, Issue 2
DOI: 10.1016/0550-3213(91)90019-T

Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions
journal, March 2006

Berruto, F.; Blum, T.; Orginos, K.
Physical Review D, Vol. 73, Issue 5
DOI: 10.1103/PhysRevD.73.054509

Dimension-5 $C P$ -odd operators: QCD mixing and renormalization
journal, December 2015

Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Gupta, Rajan
Physical Review D, Vol. 92, Issue 11
DOI: 10.1103/PhysRevD.92.114026

Extracting electric polarizabilities from lattice QCD
journal, May 2009

Detmold, W.; Tiburzi, B. C.; Walker-Loud, A.
Physical Review D, Vol. 79, Issue 9
DOI: 10.1103/PhysRevD.79.094505

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
DOI: 10.1103/PhysRevD.81.054502

Möbius Fermions
journal, March 2006

Brower, R. C.; Neff, H.; Orginos, K.
Nuclear Physics B - Proceedings Supplements, Vol. 153, Issue 1
DOI: 10.1016/j.nuclphysbps.2006.01.047

Neutron electric dipole moment with external electric field method in lattice QCD
journal, February 2007

Shintani, E.; Aoki, S.; Ishizuka, N.
Physical Review D, Vol. 75, Issue 3
DOI: 10.1103/PhysRevD.75.034507

Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond
journal, July 2013

Engel, Jonathan; Ramsey-Musolf, Michael J.; van Kolck, U.
Progress in Particle and Nuclear Physics, Vol. 71
DOI: 10.1016/j.ppnp.2013.03.003

Domain wall QCD with physical quark masses
journal, April 2016

Blum, T.; Boyle, P. A.; Christ, N. H.
Physical Review D, Vol. 93, Issue 7
DOI: 10.1103/PhysRevD.93.074505

The electric dipole form factor of the nucleon in chiral perturbation theory to sub-leading order
journal, January 2011

Mereghetti, E.; de Vries, J.; Hockings, W. H.
Physics Letters B, Vol. 696, Issue 1-2
DOI: 10.1016/j.physletb.2010.12.018

Neutron electric dipole moment using $N_{f} = 2 + 1 + 1$ twisted mass fermions
journal, April 2016

Alexandrou, C.; Athenodorou, A.; Constantinou, M.
Physical Review D, Vol. 93, Issue 7
DOI: 10.1103/PhysRevD.93.074503

Nucleon electromagnetic form factors from lattice QCD using $2 + 1$ flavor domain wall fermions on fine lattices and chiral perturbation theory
journal, February 2010

Syritsyn, S. N.; Bratt, J. D.; Lin, M. F.
Physical Review D, Vol. 81, Issue 3
DOI: 10.1103/PhysRevD.81.034507

Electric dipole moment of the neutron in chiral perturbation theory
journal, May 2000

Borasoy, B.
Physical Review D, Vol. 61, Issue 11
DOI: 10.1103/PhysRevD.61.114017

Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules
journal, September 1999

Pospelov, Maxim; Ritz, Adam
Physical Review Letters, Vol. 83, Issue 13
DOI: 10.1103/PhysRevLett.83.2526

Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
journal, November 2015

Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Gupta, Rajan
Physical Review Letters, Vol. 115, Issue 21
DOI: 10.1103/PhysRevLett.115.212002

Works referencing / citing this record:

Nuclear electric dipole moment in the cluster model with a triton: ${}^{7}{Li}$ and ${}^{11}B$
journal, November 2019

Yamanaka, Nodoka; Yamada, Taiichi; Funaki, Yasuro
Physical Review C, Vol. 100, Issue 5
DOI: 10.1103/physrevc.100.055501

Measurement of the total neutron-scattering cross-section ratios of noble gases of natural isotopic composition using a pulsed neutron beam
journal, December 2019

Haddock, Christopher C.; Hiromoto, Masayuki; Hirota, Katsuya
Physical Review C, Vol. 100, Issue 6
DOI: 10.1103/physrevc.100.064002

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_f=2$$ N f = 2 QCD: ALPHA Collaboration
journal, July 2018

Pena, C.; Preti, D.
The European Physical Journal C, Vol. 78, Issue 7
DOI: 10.1140/epjc/s10052-018-6022-7

Measurement of the total neutron scattering cross section ratios of noble gases of natural isotopic composition using a pulsed neutron beam
text, January 2019

Haddock, Christopher C.; Hiromoto, Masayuki; Hirota, Katsuya
arXiv
DOI: 10.48550/arxiv.1906.08223

Similar Records in DOE PAGES and OSTI.GOV collections:

Neutron electric dipole moment from lattice QCD

Journal Article Shintani, E ; Kanaya, K ; Aoki, S ; ... - Physical Review. D, Particles Fields

We carry out a feasibility study for the lattice QCD calculation of the neutron electric dipole moment (NEDM) in the presence of the {theta} term. We develop the strategy to obtain the nucleon EDM from the CP-odd electromagnetic form factor F{sub 3} at small {theta}, in which NEDM is given by lim{sub q{sup 2}}{sub {yields}}{sub 0}{theta}F{sub 3}(q{sup 2})/(2m{sub N}), where q is the momentum transfer and m{sub N} is the nucleon mass. We first derive a formula which relates F{sub 3}, a matrix element of the electromagnetic current between nucleon states, with vacuum expectation values of nucleons and/or the current.more »« less
https://doi.org/10.1103/PhysRevD.72.014504
Neutron and proton electric dipole moments from N_f=2+1 domain-wall fermion lattice QCD

Journal Article Shintani, Eigo ; Blum, Thomas ; Izubuchi, Taku ; ... - Physical Review. D.

We present a lattice calculation of the neutron and proton electric dipole moments (EDM’s) with N_f = 2 + 1 flavors of domain-wall fermions. The neutron and proton EDM form factors are extracted from three-point functions at the next-to-leading order in the θ vacuum of QCD. In this computation, we use pion masses 330 and 420 MeV and 2.7 fm³ lattices with Iwasaki gauge action and a 170 MeV pion and 4.6 fm³ lattice with I-DSDR gauge action, all generated by the RBC and UKQCD collaborations. The all-mode-averaging technique enables an efficient, high statistics calculation; however the statistical errors onmore »« less
Cited by 22
https://doi.org/10.1103/PhysRevD.93.094503

Full Text Available
The effective chiral Lagrangian from dimension-six parity and time-reversal violation

Journal Article Vries, J. de, E-mail: devries.jordy@gmail.com ; Nikhef, Science Park 105, 1098 XG Amsterdam ; Mereghetti, E. ; ... - Annals of Physics (New York)

We classify the parity- and time-reversal-violating operators involving quark and gluon fields that have effective dimension six: the quark electric dipole moment, the quark and gluon chromo-electric dipole moments, and four four-quark operators. We construct the effective chiral Lagrangian with hadronic and electromagnetic interactions that originate from them, which serves as the basis for calculations of low-energy observables. The form of the effective interactions depends on the chiral properties of these operators. We develop a power-counting scheme and calculate within this scheme, as an example, the parity- and time-reversal-violating pion–nucleon form factor. We also discuss the electric dipole moments ofmore »« less
https://doi.org/10.1016/J.AOP.2013.05.022
Lattice QCD spectroscopy for hadronic CP violation

Journal Article de Vries, Jordy ; Mereghetti, Emanuele ; Seng, Chien-Yeah ; ... - Physics Letters B

© 2017 The interpretation of nuclear electric dipole moment (EDM) experiments is clouded by large theoretical uncertainties associated with nonperturbative m atrix elements. In various beyond-the-Standard Model scenarios nuclear and diamagnetic atomic EDMs are expected to be dominated by CP-violating pion–nucleon interactions that arise from quark chromo-electric dipole moments. The corresponding CP-violating pion–nucleon coupling strengths are, however, poorly known. In this work we propose a strategy to calculate these couplings by using spectroscopic lattice QCD techniques. Instead of directly calculating the pion–nucleon coupling constants, a challenging task, we use chiral symmetry relations that link the pion–nucleon couplings to nucleon sigmamore »« less
Cited by 21
https://doi.org/10.1016/j.physletb.2017.01.017
Neutron Electric Dipole Moment on the Lattice

Journal Article Yoon, Boram ; Bhattacharya, Tanmoy ; Gupta, Rajan - EPJ Web of Conferences (Online)

For the neutron to have an electric dipole moment (EDM), the theory of nature must have T, or equivalently CP, violation. Neutron EDM is a very good probe of novel CP violation in beyond the standard model physics. To leverage the connection between measured neutron EDM and novel mechanism of CP violation, one requires the calculation of matrix elements for CP violating operators, for which lattice QCD provides a first principle method. In this paper, we review the status of recent lattice QCD calculations of the contributions of the QCD Θ-term, the quark EDM term, and the quark chromo-EDM termmore » to the neutron EDM.« less
https://doi.org/10.1051/epjconf/201817501014

Full Text Available

Similar Records

Title: Lattice calculation of electric dipole moments and form factors of the nucleon

Abstract

Citation Formats

2 + 1 flavor domain wall QCD on a ( 2 fm ) 3 lattice: Light meson spectroscopy with L s = 16 journal, July 2007

Electric Dipole Moment of the Neutron from 2 + 1 Flavor Lattice QCD journal, August 2015

Nucleon electric dipole moment with the gradient flow: The θ -term contribution journal, November 2015

Continuum limit physics from 2 + 1 flavor domain wall QCD journal, April 2011

Neutron electric dipole moment in lattice QCD journal, September 1989

Covariant approximation averaging journal, June 2015

Full QCD calculation of neutron electric dipole moment with the external electric field method journal, July 2008

Neutron electric dipole moment from lattice QCD journal, July 2005

Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation journal, April 2014

K to π π decay amplitudes from lattice QCD journal, December 2011

Neutron electric dipole moment from electric and chromoelectric dipole moments of quarks journal, March 2001

Baryon electric dipole moments from strong CP violation journal, December 2012

Reevaluation of neutron electric dipole moment with QCD sum rules journal, June 2012

Chiral estimate of the electric dipole moment of the neutron in quantum chromodynamics journal, December 1979

Neutron Electric Dipole Moment in Lattice QCD journal, August 1990

Neutron and proton electric dipole moments from N f = 2 + 1 domain-wall fermion lattice QCD journal, May 2016

Strong CP-violation in an effective chiral lagrangian approach journal, December 1991

Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions journal, March 2006

Dimension-5 C P -odd operators: QCD mixing and renormalization journal, December 2015

Extracting electric polarizabilities from lattice QCD journal, May 2009

Extracting nucleon magnetic moments and electric polarizabilities from lattice QCD in background electric fields journal, March 2010

Möbius Fermions journal, March 2006

Neutron electric dipole moment with external electric field method in lattice QCD journal, February 2007

Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond journal, July 2013

Domain wall QCD with physical quark masses journal, April 2016

The electric dipole form factor of the nucleon in chiral perturbation theory to sub-leading order journal, January 2011

Neutron electric dipole moment using N f = 2 + 1 + 1 twisted mass fermions journal, April 2016

Nucleon electromagnetic form factors from lattice QCD using 2 + 1 flavor domain wall fermions on fine lattices and chiral perturbation theory journal, February 2010

Electric dipole moment of the neutron in chiral perturbation theory journal, May 2000

Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules journal, September 1999

Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD journal, November 2015

Nuclear electric dipole moment in the cluster model with a triton: Li 7 and B 11 journal, November 2019

Measurement of the total neutron-scattering cross-section ratios of noble gases of natural isotopic composition using a pulsed neutron beam journal, December 2019

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_f=2$$ N f = 2 QCD: ALPHA Collaboration journal, July 2018

Measurement of the total neutron scattering cross section ratios of noble gases of natural isotopic composition using a pulsed neutron beam text, January 2019

$2 + 1$ flavor domain wall QCD on a $(2 fm)^{3}$ lattice: Light meson spectroscopy with $L_{s} = 16$
journal, July 2007

Electric Dipole Moment of the Neutron from $2 + 1$ Flavor Lattice QCD
journal, August 2015

Nucleon electric dipole moment with the gradient flow: The $θ$ -term contribution
journal, November 2015

Continuum limit physics from $2 + 1$ flavor domain wall QCD
journal, April 2011

Neutron electric dipole moment in lattice QCD
journal, September 1989

Covariant approximation averaging
journal, June 2015

Full QCD calculation of neutron electric dipole moment with the external electric field method
journal, July 2008

Neutron electric dipole moment from lattice QCD
journal, July 2005

Magnetic form factors of the octet baryons from lattice QCD and chiral extrapolation
journal, April 2014

$K$ to $π π$ decay amplitudes from lattice QCD
journal, December 2011

Neutron electric dipole moment from electric and chromoelectric dipole moments of quarks
journal, March 2001

Baryon electric dipole moments from strong CP violation
journal, December 2012

Reevaluation of neutron electric dipole moment with QCD sum rules
journal, June 2012

Chiral estimate of the electric dipole moment of the neutron in quantum chromodynamics
journal, December 1979

Neutron Electric Dipole Moment in Lattice QCD
journal, August 1990

Neutron and proton electric dipole moments from $N_{f} = 2 + 1$ domain-wall fermion lattice QCD
journal, May 2016

Strong CP-violation in an effective chiral lagrangian approach
journal, December 1991

Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions
journal, March 2006

Dimension-5 $C P$ -odd operators: QCD mixing and renormalization
journal, December 2015

Extracting electric polarizabilities from lattice QCD
journal, May 2009

Extracting nucleon magnetic moments and electric polarizabilities from lattice QCD in background electric fields
journal, March 2010

Möbius Fermions
journal, March 2006

Neutron electric dipole moment with external electric field method in lattice QCD
journal, February 2007

Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond
journal, July 2013

Domain wall QCD with physical quark masses
journal, April 2016

The electric dipole form factor of the nucleon in chiral perturbation theory to sub-leading order
journal, January 2011

Neutron electric dipole moment using $N_{f} = 2 + 1 + 1$ twisted mass fermions
journal, April 2016

Nucleon electromagnetic form factors from lattice QCD using $2 + 1$ flavor domain wall fermions on fine lattices and chiral perturbation theory
journal, February 2010

Electric dipole moment of the neutron in chiral perturbation theory
journal, May 2000

Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules
journal, September 1999

Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
journal, November 2015

Nuclear electric dipole moment in the cluster model with a triton: ${}^{7}{Li}$ and ${}^{11}B$
journal, November 2019

Measurement of the total neutron-scattering cross-section ratios of noble gases of natural isotopic composition using a pulsed neutron beam
journal, December 2019

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_f=2$$ N f = 2 QCD: ALPHA Collaboration
journal, July 2018

Measurement of the total neutron scattering cross section ratios of noble gases of natural isotopic composition using a pulsed neutron beam
text, January 2019