Abstract.
This document is one of a series of white papers from the USQCD Collaboration. Here, we discuss opportunities for Lattice Quantum Chromodynamics (LQCD) in the research frontier in fundamental symmetries and signals for new physics. LQCD, in synergy with effective field theories and nuclear many-body studies, provides theoretical support to ongoing and planned experimental programs in searches for electric dipole moments of the nucleon, nuclei and atoms, decay of the proton, n-\( \overline{n}\) oscillations, neutrinoless double-\( \beta\) decay of a nucleus, conversion of muon to electron, precision measurements of weak decays of the nucleon and of nuclei, precision isotope-shift spectroscopy, as well as direct dark matter detection experiments using nuclear targets. This white paper details the objectives of the LQCD program in the area of Fundamental Symmetries within the USQCD Collaboration, identifies priorities that can be addressed within the next five years, and elaborates on the areas that will likely demand a high degree of innovation in both numerical and analytical frontiers of the LQCD research.
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USQCD Collaboration (A. Bazavov, F. Karsch, S. Mukherjee, P. Petreczky), https://doi.org/10.1140/epja/i2019-12922-0
USQCD Collaboration (R. Brower, A. Hasenfratz, E.T. Neil), https://doi.org/10.1140/epja/i2019-12901-5
USQCD Collaboration (A.S. Kronfeld, D.G. Richards), https://doi.org/10.1140/epja/i2019-12916-x
USQCD Collaboration (W. Detmold, R.G. Edwards), https://doi.org/10.1140/epja/i2019-12902-4
USQCD Collaboration (B. Joó, C. Jung), , https://doi.org/10.1140/epja/i2019-12919-7
USQCD Collaboration (C. Lehner, S. Meinel), https://doi.org/10.1140/epja/i2019-12891-2
A. Aprahamian, nSAC Long Range Plan 2007 Subcommittee White Papers, (2007) https://science.energy.gov/np/nsac/reports/nsac-long-range-plan-2007-subcommittee-white-papers/
A. Aprahamian, Reaching for the horizon: The 2015 long range plan for nuclear science, (2015) https://science.energy.gov/np/nsac/reports/nsac-long-range-plan-2007-subcommittee-white-papers
ATLAS, CMS Collaborations (G. Aad et al.), Phys. Rev. Lett. 114, 191803 (2015) arXiv:1503.07589
J. Alexander, Dark Sectors, in 2016 Workshop: Community Report (2016) arXiv:1608.08632
S. Weinberg, Phys. Rev. Lett. 43, 1566 (1979)
W. Buchmuller, D. Wyler, Nucl. Phys. B 268, 621 (1986)
B. Grzadkowski, M. Iskrzynski, M. Misiak, J. Rosiek, JHEP 10, 085 (2010) arXiv:1008.4884
V. Cirigliano, W. Dekens, J. de Vries, M.L. Graesser, E. Mereghetti, arXiv:1806.02780 (2018)
A. Aprahamian, contribution to this issue
V. Cirigliano, M.J. Ramsey-Musolf, Prog. Part. Nucl. Phys. 71, 2 (2013) arXiv:1304.0017
T. Chupp, P. Fierlinger, M. Ramsey-Musolf, J. Singh, arXiv:1710.02504 (2017)
T. Ito, private communication (2018)
M. Pospelov, A. Ritz, Ann. Phys. 318, 119 (2005) arXiv:hep-ph/0504231
A.D. Sakharov, Pisma Zh. Eksp. Teor. Fiz. 5, 32 (1967) (Usp. Fiz. Nauk 161
C.A. Baker, D.D. Doyle, P. Geltenbort, K. Green, M.G.D. van der Grinten et al., Phys. Rev. Lett. 97, 131801 (2006) arXiv:hep-ex/0602020
J.M. Pendlebury et al., Phys. Rev. D 92, 092003 (2015) arXiv:1509.04411
V. Anastassopoulos et al., Rev. Sci. Instrum. 87, 115116 (2016) arXiv:1502.04317
J. Engel, M.J. Ramsey-Musolf, U. van Kolck, Prog. Part. Nucl. Phys. 71, 21 (2013) arXiv:1303.2371
E. Mereghetti, W.H. Hockings, U. van Kolck, Ann. Phys. 325, 2363 (2010) arXiv:1002.2391
J. de Vries, R. Higa, C.P. Liu, E. Mereghetti, I. Stetcu, R.G.E. Timmermans, U. van Kolck, Phys. Rev. C 84, 065501 (2011) arXiv:1109.3604
J. de Vries, E. Mereghetti, R.G.E. Timmermans, U. van Kolck, Ann. Phys. 338, 50 (2013) arXiv:1212.0990
J. Bsaisou, U.G. Meißner, A. Nogga, A. Wirzba, Ann. Phys. 359, 317 (2015) arXiv:1412.5471
J. de Vries, E. Mereghetti, A. Walker-Loud, Phys. Rev. C 92, 045201 (2015) arXiv:1506.06247
J. de Vries, U.G. Meißner, Int. J. Mod. Phys. E 25, 1641008 (2016) arXiv:1509.07331
C.Y. Seng, M. Ramsey-Musolf, Phys. Rev. C 96, 065204 (2017) arXiv:1611.08063
T. Bhattacharya, V. Cirigliano, R. Gupta, H.W. Lin, B. Yoon, Phys. Rev. Lett. 115, 212002 (2015) arXiv:1506.04196
E. Shintani, S. Aoki, N. Ishizuka, K. Kanaya, Y. Kikukawa, Y. Kuramashi, M. Okawa, A. Ukawa, T. Yoshie, Phys. Rev. D 75, 034507 (2007) arXiv:hep-lat/0611032
E. Shintani, S. Aoki, Y. Kuramashi, Phys. Rev. D 78, 014503 (2008) arXiv:0803.0797
E. Shintani, S. Aoki, N. Ishizuka, K. Kanaya, Y. Kikukawa, Y. Kuramashi, M. Okawa, Y. Tanigchi, A. Ukawa, T. Yoshie, Phys. Rev. D 72, 014504 (2005) arXiv:hep-lat/0505022
F. Berruto, T. Blum, K. Orginos, A. Soni, Phys. Rev. D 73, 054509 (2006) arXiv:hep-lat/0512004
S. Aoki, R. Horsley, T. Izubuchi, Y. Nakamura, D. Pleiter, P.E.L. Rakow, G. Schierholz, J. Zanotti, arXiv:0808.1428 (2008)
F.K. Guo, U.G. Meissner, JHEP 12, 097 (2012) arXiv:1210.5887
F.K. Guo, R. Horsley, U.G. Meissner, Y. Nakamura, H. Perlt, P.E.L. Rakow, G. Schierholz, A. Schiller, J.M. Zanotti, Phys. Rev. Lett. 115, 062001 (2015) arXiv:1502.02295
A. Shindler, T. Luu, J. de Vries, Phys. Rev. D 92, 094518 (2015) arXiv:1507.02343
C. Alexandrou, A. Athenodorou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, G. Koutsou, K. Ottnad, M. Petschlies, Phys. Rev. D 93, 074503 (2016) arXiv:1510.05823
E. Shintani, T. Blum, T. Izubuchi, A. Soni, Phys. Rev. D 93, 094503 (2016) arXiv:1512.00566
J. Dragos, T. Luu, A. Shindler, J. de Vries, A. Yousif, arXiv:1902.03254 (2019)
M. Abramczyk, S. Aoki, T. Blum, T. Izubuchi, H. Ohki, S. Syritsyn, Phys. Rev. D 96, 014501 (2017) arXiv:1701.07792
S. Syritsyn, T. Izubuchi, H. Ohki, Progress in the Nucleon Electric Dipole Moment Calculations in Lattice QCD, in 13th Conference on the Intersections of Particle and Nuclear Physics (CIPANP 2018) Palm Springs, California, USA, May 29-June 3, 2018 (2018) arXiv:1810.03721
T. Bhattacharya, B. Yoon, R. Gupta, V. Cirigliano, Neutron Electric Dipole Moment from Beyond the Standard Model, in 36th Annual International Symposium on Lattice Field Theory (Lattice 2018), 22–28 July, 2018, Michigan State University, East Lansing, Michigan, USA (2018) arXiv:1812.06233
T. Bhattacharya, V. Cirigliano, R. Gupta, E. Mereghetti, B. Yoon, Phys. Rev. D 92, 114026 (2015) arXiv:1502.07325
J. Kim, J. Dragos, A. Shindler, T. Luu, J. de Vries, PoS Lattice2018, 260 (2019) arXiv:1810.10301
J. Dragos, T. Luu, A. Shindler, J. de Vries, EPJ Web of Conferences 175, 06018 (2018) arXiv:1711.04730
M. Rizik, C. Monahan, A. Shindler, PoS Lattice2018, 215 (2018) arXiv:1810.05637
J. de Vries, E. Mereghetti, C.Y. Seng, A. Walker-Loud, Phys. Lett. B 766, 254 (2017) arXiv:1612.01567
Super-Kamiokande Collaboration (H. Nishino et al.), Phys. Rev. Lett. 102, 141801 (2009) arXiv:0903.0676
K.S. Babu, Working Group Report: Baryon Number Violation, in Proceedings, 2013 Community Summer Study on the Future of U.S. Particle Physics: Snowmass on the Mississippi (CSS2013): Minneapolis, MN, USA, July 29-August 6, 2013 (2013) arXiv:1311.5285
Super-Kamiokande Collaboration (K. Abe et al.), Phys. Rev. D 90, 072005 (2014) arXiv:1408.1195
J.C. Pati, A. Salam, Phys. Rev. Lett. 31, 661 (1973)
H. Georgi, S.L. Glashow, Phys. Rev. Lett. 32, 438 (1974)
F. Wilczek, A. Zee, Phys. Rev. Lett. 43, 1571 (1979)
L.F. Abbott, M.B. Wise, Phys. Rev. D 22, 2208 (1980)
Y. Aoki, C. Dawson, J. Noaki, A. Soni, Phys. Rev. D 75, 014507 (2007) arXiv:hep-lat/0607002
RBC-UKQCD Collaboration (Y. Aoki, P. Boyle, P. Cooney, L. Del Debbio, R. Kenway, C.M. Maynard, A. Soni, R. Tweedie), Phys. Rev. D 78, 054505 (2008) arXiv:0806.1031
Y. Aoki, T. Izubuchi, E. Shintani, A. Soni, Phys. Rev. D 96, 014506 (2017) arXiv:1705.01338
JLQCD Collaboration (S. Aoki et al.), Phys. Rev. D 62, 014506 (2000) arXiv:hep-lat/9911026
CP-PACS, JLQCD Collaborations (N. Tsutsui et al.), Phys. Rev. D 70, 111501 (2004) arXiv:hep-lat/0402026
QCDSF Collaboration (V.M. Braun et al.), Phys. Rev. D 79, 034504 (2009) arXiv:0811.2712
Y. Aoki, E. Shintani, A. Soni, Phys. Rev. D 89, 014505 (2014) arXiv:1304.7424
M. Claudson, M.B. Wise, L.J. Hall, Nucl. Phys. B 195, 297 (1982)
RBC, UKQCD Collaborations (Y. Aoki et al.), Phys. Rev. D 83, 074508 (2011) arXiv:1011.0892
J.S. Yoo, Y. Aoki, T. Izubuchi, S. Syritsyn, arXiv:1812.09326 (2018)
T. Blum, T. Izubuchi, E. Shintani, Phys. Rev. D 88, 094503 (2013) arXiv:1208.4349
T. Blum, T. Izubuchi, E. Shintani, PoS Lattice2012, 262 (2012) arXiv:1212.5542
E. Shintani, R. Arthur, T. Blum, T. Izubuchi, C. Jung, C. Lehner, Phys. Rev. D 91, 114511 (2015) arXiv:1402.0244
M.B. Wise, R. Blankenbecler, L.F. Abbott, Phys. Rev. D 23, 1591 (1981)
L. Lellouch, M. Luscher, Commun. Math. Phys. 219, 31 (2001) arXiv:hep-lat/0003023
W. Detmold, M.J. Savage, Nucl. Phys. A 743, 170 (2004) arXiv:hep-lat/0403005
V. Bernard, D. Hoja, U.G. Meissner, A. Rusetsky, JHEP 09, 023 (2012) arXiv:1205.4642
R.A. Briceño, Z. Davoudi, Phys. Rev. D 88, 094507 (2013) arXiv:1204.1110
A. Agadjanov, V. Bernard, U.G. Meißner, A. Rusetsky, Nucl. Phys. B 886, 1199 (2014) arXiv:1405.3476
R.A. Briceño, M.T. Hansen, A. Walker-Loud, Phys. Rev. D 91, 034501 (2015) arXiv:1406.5965
R.A. Briceño, M.T. Hansen, Phys. Rev. D 92, 074509 (2015) arXiv:1502.04314
R.A. Briceño, M.T. Hansen, Phys. Rev. D 94, 013008 (2016) arXiv:1509.08507
A. Agadjanov, V. Bernard, U.G. Meissner, A. Rusetsky, Nucl. Phys. B 910, 387 (2016) arXiv:1605.03386
RBC, UKQCD Collaborations (Z. Bai et al.), Phys. Rev. Lett. 115, 212001 (2015) arXiv:1505.07863
R.A. Briceño, J.J. Dudek, R.G. Edwards, C.J. Shultz, C.E. Thomas, D.J. Wilson, Phys. Rev. D 93, 114508 (2016) arXiv:1604.03530
M.J. Savage, P.E. Shanahan, B.C. Tiburzi, M.L. Wagman, F. Winter, S.R. Beane, E. Chang, Z. Davoudi, W. Detmold, K. Orginos, Phys. Rev. Lett. 119, 062002 (2017) arXiv:1610.04545
P.E. Shanahan, B.C. Tiburzi, M.L. Wagman, F. Winter, E. Chang, Z. Davoudi, W. Detmold, K. Orginos, M.J. Savage, Phys. Rev. Lett. 119, 062003 (2017) arXiv:1701.03456
B.C. Tiburzi, M.L. Wagman, F. Winter, E. Chang, Z. Davoudi, W. Detmold, K. Orginos, M.J. Savage, P.E. Shanahan, Phys. Rev. D 96, 054505 (2017) arXiv:1702.02929
E. Chang, Z. Davoudi, W. Detmold, A.S. Gambhir, K. Orginos, M.J. Savage, P.E. Shanahan, M.L. Wagman, F. Winter, Phys. Rev. Lett. 120, 152002 (2018) arXiv:1712.03221
NPLQCD Collaboration (S.R. Beane, E. Chang, S.D. Cohen, W. Detmold, H.W. Lin, T.C. Luu, K. Orginos, A. Parreno, M.J. Savage, A. Walker-Loud), Phys. Rev. D 87, 034506 (2013) arXiv:1206.5219
J. Engel, J. Menendez, Rep. Prog. Phys. 80, 046301 (2017) arXiv:1610.06548
A. Nicholson et al., Phys. Rev. Lett. 121, 172501 (2018) arXiv:1805.02634
G. Prezeau, M. Ramsey-Musolf, P. Vogel, Phys. Rev. D 68, 034016 (2003) arXiv:hep-ph/0303205
J. Menendez, D. Gazit, A. Schwenk, Phys. Rev. Lett. 107, 062501 (2011) arXiv:1103.3622
V. Cirigliano, W. Dekens, E. Mereghetti, A. Walker-Loud, arXiv:1710.01729 (2017)
V. Cirigliano, W. Dekens, J. De Vries, M.L. Graesser, E. Mereghetti, S. Pastore, U. Van Kolck, arXiv:1802.10097 (2018)
S. Pastore, J. Carlson, V. Cirigliano, W. Dekens, E. Mereghetti, R.B. Wiringa, Phys. Rev. C 97, 014606 (2018) arXiv:1710.05026
H. Krebs, E. Epelbaum, U.G. Meissner, Ann. Phys. 378, 317 (2017) arXiv:1610.03569
H. Krebs, E. Epelbaum, U.G. Meissner, Few Body Syst. 60, 31 (2019) arXiv:1902.06839
W. Detmold, D.J. Murphy, Nuclear Matrix Elements for Neutrinoless Double Beta Decay from Lattice QCD, in 36th International Symposium on Lattice Field Theory (Lattice 2018) East Lansing, MI, United States, July 22–28, 2018 (2018) arXiv:1811.05554
X. Feng, L.C. Jin, X.Y. Tuo, S.C. Xia, arXiv:1809.10511 (2018)
V. Cirigliano, W. Dekens, M. Graesser, E. Mereghetti, Phys. Lett. B 769, 460 (2017) arXiv:1701.01443
ETM Collaboration (V. Bertone et al.), JHEP 03, 089 (2013) JHEP 07
RBC, UKQCD Collaborations (P.A. Boyle, N. Garron, R.J. Hudspith), Phys. Rev. D 86, 054028 (2012) arXiv:1206.5737
SWME Collaboration (B.J. Choi et al.), Phys. Rev. D 93, 014511 (2016) arXiv:1509.00592
L. Lehman, Phys. Rev. D 90, 125023 (2014) arXiv:1410.4193
M.L. Graesser, JHEP 08, 099 (2017) arXiv:1606.04549
A. Kobach, Phys. Lett. B 758, 455 (2016) arXiv:1604.05726
T. Peng, M.J. Ramsey-Musolf, P. Winslow, Phys. Rev. D 93, 093002 (2016) arXiv:1508.04444
R.N. Mohapatra, J. Phys. G 36, 104006 (2009) arXiv:0902.0834
K. Babu, arXiv:1310.8593 (2013)
D. Phillips et al., Phys. Rep. 612, 1 (2016) arXiv:1410.1100
M. Baldo-Ceolin et al., Z. Phys. C 63, 409 (1994)
D. Milstead, arXiv:1510.01569 (2015)
M.J. Frost, arXiv:1607.07271 (2016)
A.K. Fomin, A.P. Serebrov, O.M. Zherebtsov, M.E. Chaikovskii, A.N. Murashkin, E.N. Leonova, O.P. Fedorova, V.G. Ivochkin, V.A. Lyamkin, D.V. Prudnikov et al., KnE Energy 3, 109 (2018)
Super-Kamiokande Collaboration (K. Abe et al.), Phys. Rev. D 91, 072006 (2011) arXiv:1109.4227
E. Friedman, A. Gal, Phys. Rev. D 78, 016002 (2008) arXiv:0803.3696
SNO Collaboration (B. Aharmim et al.), Phys. Rev. D 96, 1 (2017) arXiv:1705.00696
F. Oosterhof, B. Long, J. de Vries, R.G.E. Timmermans, U. van Kolck, arXiv:1902.05342 (2019)
J.E. Hewes, Tech. rep., Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States) (2017) http://www.osti.gov/servlets/purl/1426674/
L. Chang, N. Chang, Phys. Lett. B 92, 103 (1980)
T.K. Kuo, S. Love, Phys. Rev. Lett. 45, 93 (1980)
S. Rao, R.E. Shrock, Nucl. Phys. B 232, 143 (1984)
M. Buchoff, C. Schroeder, J. Wasem, PoS Lattice2012, 128 (2012)
S. Syritsyn, M.I. Buchoff, C. Schroeder, J. Wasem, PoS Lattice2015, 132 (2016)
M.I. Buchoff, M. Wagman, Phys. Rev. D - Particles, Fields, Gravit. Cosmol. 93, 1 (2016) arXiv:1506.00647
E. Rinaldi, S. Syritsyn, M.L. Wagman, M.I. Buchoff, C. Schroeder, J. Wasem, arXiv:1809.00246 (2018)
E. Rinaldi, S. Syritsyn, M.L. Wagman, M.I. Buchoff, C. Schroeder, J. Wasem, arXiv:1901.07519 (2019)
RBC, UKQCD Collaborations (T. Blum et al.), Phys. Rev. D 93, 074505 (2016) arXiv:1411.7017
S. Gardner, X. Yan, Phys. Rev. D 97, 056008 (2018) arXiv:1710.09292
S.T. Petcov, Sov. J. Nucl. Phys. 25, 340 (1977) Yad. Fiz. 25
W.J. Marciano, A.I. Sanda, Phys. Lett. B 67, 303 (1977)
S. Giovannella, EPJ Web of Conferences 179, 01003 (2018)
COMET Collaboration (R.P. Litchfield), EPJ Web of Conferences 179, 01011 (2018)
V. Cirigliano, R. Kitano, Y. Okada, P. Tuzon, Phys. Rev. D 80, 013002 (2009) arXiv:0904.0957
A. Crivellin, M. Hoferichter, M. Procura, Phys. Rev. D 89, 093024 (2014) arXiv:1404.7134
V. Cirigliano, S. Davidson, Y. Kuno, Phys. Lett. B 771, 242 (2017) arXiv:1703.02057
A. Crivellin, S. Davidson, G.M. Pruna, A. Signer, JHEP 05, 117 (2017) arXiv:1702.03020
M. Hoferichter, J. Ruiz de Elvira, B. Kubis, U.G. Meißner, Phys. Rev. Lett. 115, 092301 (2015) arXiv:1506.04142
P.F. Bedaque, Phys. Lett. B 593, 82 (2004) arXiv:nucl-th/0402051
G.M. de Divitiis, R. Petronzio, N. Tantalo, Phys. Lett. B 595, 408 (2004) arXiv:hep-lat/0405002
L. Calibbi, G. Signorelli, Riv. Nuovo Cimento 41, 71 (2018) arXiv:1709.00294
A. Bartolotta, M.J. Ramsey-Musolf, Phys. Rev. C 98, 015208 (2018) arXiv:1710.02129
G. Bertone, D. Hooper, J. Silk, Phys. Rep. 405, 279 (2005) arXiv:hep-ph/0404175
G. Bertone, D. Hooper, Rev. Mod. Phys. 90, 045002 (2018) arXiv:1605.04909
S.A. Hertel, A. Biekert, J. Lin, V. Velan, D.N. McKinsey, arXiv:1810.06283 (2018)
F. Bishara, J. Brod, B. Grinstein, J. Zupan, JHEP 11, 059 (2017) arXiv:1707.06998
J. Giedt, A.W. Thomas, R.D. Young, Phys. Rev. Lett. 103, 201802 (2009) arXiv:0907.4177
A.L. Fitzpatrick, W. Haxton, E. Katz, N. Lubbers, Y. Xu, JCAP 02, 004 (2013) arXiv:1203.3542
V. Cirigliano, M.L. Graesser, G. Ovanesyan, JHEP 10, 025 (2012) arXiv:1205.2695
J. Menendez, D. Gazit, A. Schwenk, Phys. Rev. D 86, 103511 (2012) arXiv:1208.1094
M. Hoferichter, P. Klos, A. Schwenk, Phys. Lett. B 746, 410 (2015) arXiv:1503.04811
M. Hoferichter, P. Klos, J. Menéndez, A. Schwenk, Phys. Rev. D 94, 063505 (2016)
C. Körber, A. Nogga, J. de Vries, Phys. Rev. C 96, 035805 (2017) arXiv:1704.01150
L. Andreoli, V. Cirigliano, S. Gandolfi, F. Pederiva, Phys. Rev. C 99, 025501 (2019) arXiv:1811.01843
W.T. Chou, E.K. Warburton, B.A. Brown, Phys. Rev. C 47, 163 (1993)
Flavour Lattice Averaging Group (S. Aoki), arXiv:1902.08191 (2019)
P. Junnarkar, A. Walker-Loud, Phys. Rev. D 87, 114510 (2013) arXiv:1301.1114
QCDSF-UKQCD Collaboration (R. Horsley, Y. Nakamura, H. Perlt, D. Pleiter, P.E.L. Rakow, G. Schierholz, A. Schiller, H. Stuben, F. Winter, J.M. Zanotti), Phys. Rev. D 85, 034506 (2012) arXiv:1110.4971
S. Durr et al., Phys. Rev. D 85, 014509 (2012) Phys. Rev. D 93
J. Martin Camalich, L.S. Geng, M.J. Vicente Vacas, Phys. Rev. D 82, 074504 (2010) arXiv:1003.1929
PACS-CS Collaboration (K.I. Ishikawa et al.), Phys. Rev. D 80, 054502 (2009) arXiv:0905.0962
H. Ohki, H. Fukaya, S. Hashimoto, T. Kaneko, H. Matsufuru, J. Noaki, T. Onogi, E. Shintani, N. Yamada, Phys. Rev. D 78, 054502 (2008) arXiv:0806.4744
JLQCD Collaboration (H. Ohki, K. Takeda, S. Aoki, S. Hashimoto, T. Kaneko, H. Matsufuru, J. Noaki, T. Onogi), Phys. Rev. D 87, 034509 (2013) arXiv:1208.4185
C. Alexandrou, V. Drach, K. Jansen, C. Kallidonis, G. Koutsou, Phys. Rev. D 90, 074501 (2014) arXiv:1406.4310
P.E. Shanahan, A.W. Thomas, R.D. Young, Phys. Rev. D 87, 074503 (2013) arXiv:1205.5365
S. Durr et al., Phys. Rev. Lett. 116, 172001 (2016) arXiv:1510.08013
xQCD Collaboration (Y.B. Yang, A. Alexandru, T. Draper, J. Liang, K.F. Liu), Phys. Rev. D 94, 054503 (2016) arXiv:1511.09089
G.S. Bali et al., Nucl. Phys. B 866, 1 (2013) arXiv:1206.7034
X.L. Ren, L.S. Geng, J. Meng, Phys. Rev. D 91, 051502 (2015) arXiv:1404.4799
RQCD Collaboration (G.S. Bali, S. Collins, D. Richtmann, A. Schäfer, W. Söldner, A. Sternbeck), Phys. Rev. D 93, 094504 (2016) arXiv:1603.00827
ETM Collaboration (A. Abdel-Rehim, C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, C. Kallidonis, G. Koutsou, A. Vaquero Aviles-Casco), Phys. Rev. Lett. 116, 252001 (2016) arXiv:1601.01624
J. Ruiz de Elvira, M. Hoferichter, B. Kubis, U.G. Meißner, J. Phys. G 45, 024001 (2018) arXiv:1706.01465
M. Hoferichter, J. Ruiz de Elvira, B. Kubis, U.G. Meißner, Phys. Lett. B 760, 74 (2016) arXiv:1602.07688
P.E. Shanahan, A.W. Thomas, R.D. Young, PoS Lattice2012, 165 (2012) arXiv:1301.3231
MILC Collaboration (W. Freeman, D. Toussaint), Phys. Rev. D 88, 054503 (2013) arXiv:1204.3866
JLQCD Collaboration (N. Yamanaka, S. Hashimoto, T. Kaneko, H. Ohki), Phys. Rev. D 98, 054516 (2018) arXiv:1805.10507
R.D. Young, A.W. Thomas, Phys. Rev. D 81, 014503 (2010) arXiv:0901.3310
X.L. Ren, L.S. Geng, J. Martin Camalich, J. Meng, H. Toki, JHEP 12, 073 (2012) arXiv:1209.3641
R. Gupta, B. Yoon, T. Bhattacharya, V. Cirigliano, Y.C. Jang, H.W. Lin, Phys. Rev. D 98, 091501 (2018) arXiv:1808.07597
R. Gupta, T. Bhattacharya, V. Cirigliano, B. Yoon, Y.C. Jang, H.W. Lin, Isovector and flavor diagonal charges of the nucleon from $2+1+1$ flavor QCD, in 36th International Symposium on Lattice Field Theory (Lattice 2018) East Lansing, MI, United States, July 22–28, 2018 (2018) arXiv:1812.03573
Y.C. Jang, T. Bhattacharya, R. Gupta, H.W. Lin, B. Yoon, PoS Lattice2018, 123 (2018) arXiv:1901.00060
G.S. Bali, S. Collins, M. Gruber, A. Schäfer, P. Wein, T. Wurm, arXiv:1810.05569 (2018)
J. Kumar, D. Marfatia, Phys. Rev. D 88, 014035 (2013) arXiv:1305.1611
G. Busoni, A. De Simone, P. Scott, A.C. Vincent, JCAP 10, 037 (2017) arXiv:1703.07784
M. Gonzalez-Alonso, O. Naviliat-Cuncic, N. Severijns, arXiv:1803.08732 (2018)
T. Bhattacharya, V. Cirigliano, S.D. Cohen, A. Filipuzzi, M. Gonzalez-Alonso, M.L. Graesser, R. Gupta, H.W. Lin, Phys. Rev. D 85, 054512 (2012) arXiv:1110.6448
V. Cirigliano, M. Gonzalez-Alonso, M.L. Graesser, JHEP 02, 046 (2013) arXiv:1210.4553
R. Gupta, Y.C. Jang, B. Yoon, H.W. Lin, V. Cirigliano, T. Bhattacharya, Phys. Rev. D 98, 034503 (2018) arXiv:1806.09006
C. Alexandrou et al., Phys. Rev. D 95, 114514 (2017) Phys. Rev. D 96
G.S. Bali, S. Collins, B. Glässle, M. Göckeler, J. Najjar, R.H. Rödl, A. Schäfer, R.W. Schiel, W. Söldner, A. Sternbeck, Phys. Rev. D 91, 054501 (2015) arXiv:1412.7336
J.R. Green, J.W. Negele, A.V. Pochinsky, S.N. Syritsyn, M. Engelhardt, S. Krieg, Phys. Rev. D 86, 114509 (2012) arXiv:1206.4527
Y. Aoki, T. Blum, H.W. Lin, S. Ohta, S. Sasaki, R. Tweedie, J. Zanotti, T. Yamazaki, Phys. Rev. D 82, 014501 (2010) arXiv:1003.3387
S. Alioli, V. Cirigliano, W. Dekens, J. de Vries, E. Mereghetti, JHEP 05, 086 (2017) arXiv:1703.04751
C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, C. Kallidonis, G. Koutsou, A. Vaquero Aviles-Casco, Phys. Rev. D 96, 054507 (2017) arXiv:1705.03399
A. Abdel-Rehim et al., Phys. Rev. D 92, 114513 (2015) Phys. Rev. D 93
R. Horsley, Y. Nakamura, A. Nobile, P.E.L. Rakow, G. Schierholz, J.M. Zanotti, Phys. Lett. B 732, 41 (2014) arXiv:1302.2233
S. Capitani, M. Della Morte, G. von Hippel, B. Jager, A. Juttner, B. Knippschild, H.B. Meyer, H. Wittig, Phys. Rev. D 86, 074502 (2012) arXiv:1205.0180
J.R. Green, M. Engelhardt, S. Krieg, J.W. Negele, A.V. Pochinsky, S.N. Syritsyn, Phys. Lett. B 734, 290 (2014) arXiv:1209.1687
LHPC Collaboration (J.D. Bratt et al.), Phys. Rev. D 82, 094502 (2010) arXiv:1001.3620
H.W. Lin, T. Blum, S. Ohta, S. Sasaki, T. Yamazaki, Phys. Rev. D 78, 014505 (2008) arXiv:0802.0863
RBC+UKQCD Collaboration (T. Yamazaki, Y. Aoki, T. Blum, H.W. Lin, M.F. Lin, S. Ohta, S. Sasaki, R.J. Tweedie, J.M. Zanotti), Phys. Rev. Lett. 100, 171602 (2008) arXiv:0801.4016
C.C. Chang et al., Nature 558, 91 (2018) arXiv:1805.12130
C.Y. Seng, M. Gorchtein, H.H. Patel, M.J. Ramsey-Musolf, arXiv:1807.10197 (2018)
A. Czarnecki, W.J. Marciano, A. Sirlin, arXiv:1907.06737 (2019)
W.J. Marciano, A. Sirlin, Phys. Rev. Lett. 96, 032002 (2006) arXiv:hep-ph/0510099
C.Y. Seng, U.G. Meißner, arXiv:1903.07969 (2019)
A.J. Chambers, R. Horsley, Y. Nakamura, H. Perlt, P.E.L. Rakow, G. Schierholz, A. Schiller, K. Somfleth, R.D. Young, J.M. Zanotti, Phys. Rev. Lett. 118, 242001 (2017) arXiv:1703.01153
D. Giusti, V. Lubicz, G. Martinelli, C.T. Sachrajda, F. Sanfilippo, S. Simula, N. Tantalo, C. Tarantino, Phys. Rev. Lett. 120, 072001 (2018) arXiv:1711.06537
C. Delaunay, C. Frugiuele, E. Fuchs, Y. Soreq, Phys. Rev. D 96, 115002 (2017) arXiv:1709.02817
J.C. Berengut et al., Phys. Rev. Lett. 120, 091801 (2018) arXiv:1704.05068
C. Delaunay, R. Ozeri, G. Perez, Y. Soreq, Phys. Rev. D 96, 093001 (2017) arXiv:1601.05087
C. Frugiuele, E. Fuchs, G. Perez, M. Schlaffer, Phys. Rev. D 96, 015011 (2017) arXiv:1602.04822
G. Parisi, Phys. Rep. 103, 203 (1984)
G.P. Lepage, Boulder ASI 97-120 (1989) pp. 97–20
M.L. Wagman, M.J. Savage, Phys. Rev. D 96, 114508 (2017) arXiv:1611.07643
M.L. Wagman, M.J. Savage, arXiv:1704.07356 (2017)
K.F. Liu, J. Liang, Y.B. Yang, Phys. Rev. D 97, 034507 (2018) arXiv:1705.06358
M. Ce, L. Giusti, S. Schaefer, Phys. Rev. D 93, 094507 (2016) arXiv:1601.04587
M. Ce, L. Giusti, S. Schaefer, Phys. Rev. D 95, 034503 (2017) arXiv:1609.02419
T. Yamazaki, K.i. Ishikawa, Y. Kuramashi, A. Ukawa, Phys. Rev. D 86, 074514 (2012) arXiv:1207.4277
HAL QCD Collaboration (T. Doi, S. Aoki, T. Hatsuda, Y. Ikeda, T. Inoue, N. Ishii, K. Murano, H. Nemura, K. Sasaki), Prog. Theor. Phys. 127, 723 (2012) arXiv:1106.2276
K. Orginos, A. Parreno, M.J. Savage, S.R. Beane, E. Chang, W. Detmold, Phys. Rev. D 92, 114512 (2015) arXiv:1508.07583
T. Yamazaki, K.i. Ishikawa, Y. Kuramashi, A. Ukawa, Phys. Rev. D 92, 014501 (2015) arXiv:1502.04182
E. Berkowitz, T. Kurth, A. Nicholson, B. Joo, E. Rinaldi, M. Strother, P.M. Vranas, A. Walker-Loud, Phys. Lett. B 765, 285 (2017) arXiv:1508.00886
R.A. Briceño, J.J. Dudek, R.D. Young, Rev. Mod. Phys. 90, 025001 (2018) arXiv:1706.06223
A. Francis, J.R. Green, P.M. Junnarkar, C. Miao, T.D. Rae, H. Wittig, arXiv:1805.03966 (2018)
W. Detmold, K. Orginos, Phys. Rev. D 87, 114512 (2013) arXiv:1207.1452
T. Doi, M.G. Endres, Comput. Phys. Commun. 184, 117 (2013) arXiv:1205.0585
N. Barnea, L. Contessi, D. Gazit, F. Pederiva, U. van Kolck, Phys. Rev. Lett. 114, 052501 (2015) arXiv:1311.4966
J. Kirscher, N. Barnea, D. Gazit, F. Pederiva, U. van Kolck, Phys. Rev. C 92, 054002 (2015) arXiv:1506.09048
L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Phys. Lett. B 772, 839 (2017) arXiv:1701.06516
J. Kirscher, E. Pazy, J. Drachman, N. Barnea, Phys. Rev. C 96, 024001 (2017) arXiv:1702.07268
A. Bansal, S. Binder, A. Ekström, G. Hagen, G.R. Jansen, T. Papenbrock, Phys. Rev. C 98, 054301 (2018) arXiv:1712.10246
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USQCD Collaboration., Cirigliano, V., Davoudi, Z. et al. The role of Lattice QCD in searches for violations of fundamental symmetries and signals for new physics. Eur. Phys. J. A 55, 197 (2019). https://doi.org/10.1140/epja/i2019-12889-8
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DOI: https://doi.org/10.1140/epja/i2019-12889-8