Built on

J. Dragos, T. Luu, A. Shindler, J. de Vries, and A. Yousif, Confirming the Existence of the strong CP Problem in Lattice QCD with the Gradient Flow (2019), arXiv:1902.03254 [hep-lat]
Original
1902
Earlier work this paper cites.
E. I. Bribian and M. Garcia Perez, The twisted gradient flow coupling at one loop, JHEP 03
Original
1903
Earlier work this paper cites.
M. Dalla Brida and A. Ramos, The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory, Eur. Phys. J. C79
Original
1905
Earlier work this paper cites.
J. Artz, R. V. Harlander, F. Lange, T. Neumann, and M. Prausa, Results and techniques for higher order calculations within the gradient-flow formalism, JHEP 06
Original
1905
Earlier work this paper cites.
J. de Vries, G. Falcioni, F. Herzog, and B. Ruijl, Two- and three-loop anomalous dimensions of Weinberg’s dimension-six CP-odd gluonic operator (2019), arXiv:1907.04923 [hep-ph]
Original
1907
Earlier work this paper cites.
U. Haisch and A. Hala, Sum rules for CP-violating operators of Weinberg type, JHEP 11
Original
1909
Earlier work this paper cites.
A. Hasenfratz, C. Rebbi, and O. Witzel, Gradient flow step-scaling function for SU(3) with twelve flavors, Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
E. Bennett, D. K. Hong, J.-W. Lee, C.-J. D. Lin, B. Lucini, M. Piai, and D. Vadacchino, Sp(4) gauge theories on the lattice: N f = 2 N_{f}=2 dynamical fundamental fermions, JHEP 12
Original
1909
Earlier work this paper cites.
G. ’t Hooft and M. Veltman, Regularization and Renormalization of Gauge Fields, Nucl. Phys. B 44
1972
Earlier work this paper cites.
P. Breitenlohner and D. Maison, Dimensional Renormalization and the Action Principle, Commun. Math. Phys. 52
1977
Earlier work this paper cites.
D. Espriu and R. Tarrach, Renormalization of the Axial Anomaly Operators, Z. Phys. C16
1982
Earlier work this paper cites.
S. Weinberg, Larger Higgs Exchange Terms in the Neutron Electric Dipole Moment, Phys. Rev. Lett. 63
1989
Earlier work this paper cites.
H. Panagopoulos and E. Vicari, The Trilinear Gluon Condensate on the Lattice, Nucl. Phys. B 332
1990
Earlier work this paper cites.
A. J. Buras and P. H. Weisz, QCD Nonleading Corrections to Weak Decays in Dimensional Regularization and ’t Hooft-Veltman Schemes, Nucl. Phys. B 333
1990
Earlier work this paper cites.
G. Martinelli, S. Petrarca, C. T. Sachrajda, and A. Vladikas, Nonperturbative renormalization of two quark operators with an improved lattice fermion action, Phys. Lett. B 311
1993
Earlier work this paper cites.
G. Martinelli, C. Pittori, C. T. Sachrajda, M. Testa, and A. Vladikas, A General method for nonperturbative renormalization of lattice operators, Nucl. Phys. B 445
1995
Earlier work this paper cites.
A. Donini, V. Gimenez, G. Martinelli, M. Talevi, and A. Vladikas, Nonperturbative renormalization of lattice four fermion operators without power subtractions, Eur. Phys. J. C 10
1999
Earlier work this paper cites.
C. Abel et al. (nEDM), Measurement of the permanent electric dipole moment of the neutron, Phys. Rev. Lett. 124
Original
2001
Earlier work this paper cites.
R. Höllwieser, F. Knechtli, and T. Korzec (ALPHA), Scale setting for N f = 3 + 1 N_{f}=3+1 QCD (2020), arXiv:2002.02866 [hep-lat]
Original
2002
Earlier work this paper cites.
D. A. Demir, M. Pospelov, and A. Ritz, Hadronic EDMs, the Weinberg operator, and light gluinos, Phys. Rev. D 67
2003
Earlier work this paper cites.
T. Izubuchi, H. Ohki, and S. Syritsyn, Computing Nucleon Electric Dipole Moment from lattice QCD, in 37th International Symposium on Lattice Field Theory (2020) arXiv:2004.10449 [hep-lat]
Original
2004
Earlier work this paper cites.
T. DeGrand, Topological susceptibility in QCD with two flavors and 3-5 colors – a pilot study (2020), arXiv:2004.09649 [hep-lat]
Original
2004
Earlier work this paper cites.

Similar

V. Cirigliano, E. Mereghetti, and P. Stoffer, Non-perturbative renormalization scheme for the CP-odd three-gluon operator (2020), arXiv:2004.03576 [hep-ph]
Original
2004
Cited alongside, same era.
V. Gimenez, L. Giusti, S. Guerriero, V. Lubicz, G. Martinelli, S. Petrarca, J. Reyes, B. Taglienti, and E. Trevigne, Non-perturbative renormalization of lattice operators in coordinate space, Phys. Lett. B 598
2004
Cited alongside, same era.
E. Shintani, S. Aoki, N. Ishizuka, K. Kanaya, Y. Kikukawa, Y. Kuramashi, M. Okawa, Y. Tanigchi, A. Ukawa, and T. Yoshie, Neutron electric dipole moment from lattice QCD, Phys. Rev. D72
2005
Cited alongside, same era.
F. Berruto, T. Blum, K. Orginos, and A. Soni, Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions, Phys. Rev. D73
2006
Cited alongside, same era.

Then

A. Ramos and S. Sint, Symanzik improvement of the gradient flow in lattice gauge theories, Eur. Phys. J. C76
Original
2016
Later among the works it cites.
M. Kitazawa, T. Iritani, M. Asakawa, T. Hatsuda, and H. Suzuki, Equation of State for SU(3) Gauge Theory via the Energy-Momentum Tensor under Gradient Flow, Phys. Rev. D94
Original
2016
Later among the works it cites.
K. Hieda and H. Suzuki, Small flow-time representation of fermion bilinear operators, Mod. Phys. Lett. A31
Original
2016
Later among the works it cites.
M. Abramczyk, S. Aoki, T. Blum, T. Izubuchi, H. Ohki, and S. Syritsyn, Lattice calculation of electric dipole moments and form factors of the nucleon, Phys. Rev. D96
Original
2017
Later among the works it cites.
J. Dragos, T. Luu, A. Shindler, and J. de Vries, Electric Dipole Moment Results from lattice QCD, Proceedings, 35th International Symposium on Lattice Field Theory (Lattice 2017): Granada, Spain, June 18-24, 2017 , EPJ Web Conf. 175

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2020

Short flow-time coefficients of CP-violating operators

Rizik, Matthew D., Monahan, Christopher J., Shindler, Andrea

Understand

Measurements of a permanent neutron electric dipole moment (EDM) potentially probe Beyond-the-Standard Model (BSM) sources of CP-violation.

At low energy the CP-violating BSM interactions are parametrized by flavor-conserving CP-violating operators of dimension higher than four.
QCD calculations of the nucleon matrix elements of these operators are required to fully reconstruct the sources and magnitudes of the different CP-violating contributions to the nucleon EDM.
Herein we study the quark-chromo electric dipole moment (qCEDM) operator and the three-gluon Weinberg operator.

Built on

J. Dragos, T. Luu, A. Shindler, J. de Vries, and A. Yousif, Confirming the Existence of the strong CP Problem in Lattice QCD with the Gradient Flow (2019), arXiv:1902.03254 [hep-lat]
Original
1902
Earlier work this paper cites.
E. I. Bribian and M. Garcia Perez, The twisted gradient flow coupling at one loop, JHEP 03
Original
1903
Earlier work this paper cites.
M. Dalla Brida and A. Ramos, The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory, Eur. Phys. J. C79
Original
1905
Earlier work this paper cites.
J. Artz, R. V. Harlander, F. Lange, T. Neumann, and M. Prausa, Results and techniques for higher order calculations within the gradient-flow formalism, JHEP 06
Original
1905
Earlier work this paper cites.
J. de Vries, G. Falcioni, F. Herzog, and B. Ruijl, Two- and three-loop anomalous dimensions of Weinberg’s dimension-six CP-odd gluonic operator (2019), arXiv:1907.04923 [hep-ph]
Original
1907
Earlier work this paper cites.
U. Haisch and A. Hala, Sum rules for CP-violating operators of Weinberg type, JHEP 11
Original
1909
Earlier work this paper cites.
A. Hasenfratz, C. Rebbi, and O. Witzel, Gradient flow step-scaling function for SU(3) with twelve flavors, Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
E. Bennett, D. K. Hong, J.-W. Lee, C.-J. D. Lin, B. Lucini, M. Piai, and D. Vadacchino, Sp(4) gauge theories on the lattice: N f = 2 N_{f}=2 dynamical fundamental fermions, JHEP 12
Original
1909
Earlier work this paper cites.
G. ’t Hooft and M. Veltman, Regularization and Renormalization of Gauge Fields, Nucl. Phys. B 44
1972
Earlier work this paper cites.
P. Breitenlohner and D. Maison, Dimensional Renormalization and the Action Principle, Commun. Math. Phys. 52
1977
Earlier work this paper cites.
D. Espriu and R. Tarrach, Renormalization of the Axial Anomaly Operators, Z. Phys. C16
1982
Earlier work this paper cites.
S. Weinberg, Larger Higgs Exchange Terms in the Neutron Electric Dipole Moment, Phys. Rev. Lett. 63
1989
Earlier work this paper cites.
H. Panagopoulos and E. Vicari, The Trilinear Gluon Condensate on the Lattice, Nucl. Phys. B 332
1990
Earlier work this paper cites.
A. J. Buras and P. H. Weisz, QCD Nonleading Corrections to Weak Decays in Dimensional Regularization and ’t Hooft-Veltman Schemes, Nucl. Phys. B 333
1990
Earlier work this paper cites.
G. Martinelli, S. Petrarca, C. T. Sachrajda, and A. Vladikas, Nonperturbative renormalization of two quark operators with an improved lattice fermion action, Phys. Lett. B 311
1993
Earlier work this paper cites.
G. Martinelli, C. Pittori, C. T. Sachrajda, M. Testa, and A. Vladikas, A General method for nonperturbative renormalization of lattice operators, Nucl. Phys. B 445
1995
Earlier work this paper cites.
A. Donini, V. Gimenez, G. Martinelli, M. Talevi, and A. Vladikas, Nonperturbative renormalization of lattice four fermion operators without power subtractions, Eur. Phys. J. C 10
1999
Earlier work this paper cites.
C. Abel et al. (nEDM), Measurement of the permanent electric dipole moment of the neutron, Phys. Rev. Lett. 124
Original
2001
Earlier work this paper cites.
R. Höllwieser, F. Knechtli, and T. Korzec (ALPHA), Scale setting for N f = 3 + 1 N_{f}=3+1 QCD (2020), arXiv:2002.02866 [hep-lat]
Original
2002
Earlier work this paper cites.
D. A. Demir, M. Pospelov, and A. Ritz, Hadronic EDMs, the Weinberg operator, and light gluinos, Phys. Rev. D 67
2003
Earlier work this paper cites.
T. Izubuchi, H. Ohki, and S. Syritsyn, Computing Nucleon Electric Dipole Moment from lattice QCD, in 37th International Symposium on Lattice Field Theory (2020) arXiv:2004.10449 [hep-lat]
Original
2004
Earlier work this paper cites.
T. DeGrand, Topological susceptibility in QCD with two flavors and 3-5 colors – a pilot study (2020), arXiv:2004.09649 [hep-lat]
Original
2004
Earlier work this paper cites.

Similar

V. Cirigliano, E. Mereghetti, and P. Stoffer, Non-perturbative renormalization scheme for the CP-odd three-gluon operator (2020), arXiv:2004.03576 [hep-ph]
Original
2004
Cited alongside, same era.
V. Gimenez, L. Giusti, S. Guerriero, V. Lubicz, G. Martinelli, S. Petrarca, J. Reyes, B. Taglienti, and E. Trevigne, Non-perturbative renormalization of lattice operators in coordinate space, Phys. Lett. B 598
2004
Cited alongside, same era.
E. Shintani, S. Aoki, N. Ishizuka, K. Kanaya, Y. Kikukawa, Y. Kuramashi, M. Okawa, Y. Tanigchi, A. Ukawa, and T. Yoshie, Neutron electric dipole moment from lattice QCD, Phys. Rev. D72
2005
Cited alongside, same era.
F. Berruto, T. Blum, K. Orginos, and A. Soni, Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions, Phys. Rev. D73
2006
Cited alongside, same era.

Then

A. Ramos and S. Sint, Symanzik improvement of the gradient flow in lattice gauge theories, Eur. Phys. J. C76
Original
2016
Later among the works it cites.
M. Kitazawa, T. Iritani, M. Asakawa, T. Hatsuda, and H. Suzuki, Equation of State for SU(3) Gauge Theory via the Energy-Momentum Tensor under Gradient Flow, Phys. Rev. D94
Original
2016
Later among the works it cites.
K. Hieda and H. Suzuki, Small flow-time representation of fermion bilinear operators, Mod. Phys. Lett. A31
Original
2016
Later among the works it cites.
M. Abramczyk, S. Aoki, T. Blum, T. Izubuchi, H. Ohki, and S. Syritsyn, Lattice calculation of electric dipole moments and form factors of the nucleon, Phys. Rev. D96
Original
2017
Later among the works it cites.
J. Dragos, T. Luu, A. Shindler, and J. de Vries, Electric Dipole Moment Results from lattice QCD, Proceedings, 35th International Symposium on Lattice Field Theory (Lattice 2017): Granada, Spain, June 18-24, 2017 , EPJ Web Conf. 175

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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J. de Vries, R. Timmermans, E. Mereghetti, and U. van Kolck, The Nucleon Electric Dipole Form Factor From Dimension-Six Time-Reversal Violation, Phys. Lett. B 695

Original

2011

Cited alongside, same era.

E. Mereghetti, J. de Vries, W. Hockings, C. Maekawa, and U. van Kolck, The Electric Dipole Form Factor of the Nucleon in Chiral Perturbation Theory to Sub-leading Order, Phys.Lett. B696

Original

2011

Cited alongside, same era.

K. Chetyrkin and A. Maier, Massless correlators of vector, scalar and tensor currents in position space at orders α s 3 \alpha_{s}^{3} and α s 4 \alpha_{s}^{4} : Explicit analytical results, Nucl. Phys. B 844

Original

2011

Cited alongside, same era.

H. Suzuki, Energy–momentum tensor from the Yang–Mills gradient flow, PTEP 2013