Abstract.
In 2018, the USQCD Collaboration’s Executive Committee organized several subcommittees to recognize future opportunities and formulate possible goals for lattice field theory calculations in several physics areas. The conclusions of these studies, along with community input, are presented in seven white papers. Here, we discuss opportunities for lattice QCD calculations related to the structure and spectroscopy of hadrons and nuclei. An overview of recent lattice calculations of the structure of the proton and other hadrons is presented along with prospects for future extensions. Progress and prospects of hadronic spectroscopy and the study of resonances in the light, strange and heavy quark sectors are summarized. Finally recent advances in the study of light nuclei from lattice QCD are addressed and the scope of future investigations that are currently envisioned is outlined.
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USQCD Collaboration (A. Bazavov, F. Karsch, S. Mukherjee, P. Petreczky), https://doi.org/10.1140/epja/i2019-12922-0, http://arXiv:1904.09951 (2019)
USQCD Collaboration (R.C. Brower, A. Hasenfratz, E.T. Neil, S. Catterall, G. Fleming, J. Giedt, E. Rinaldi, D. Schaich, E. Weinberg, O. Witzel), https://doi.org/10.1140/epja/i2019-12901-5, http://arXiv:1904.09964 (2019)
USQCD Collaboration (V. Cirigliano, Z. Davoudi, T. Bhattacharya, T. Izubuchi, P.E. Shanahan, S. Syritsyn, M.L. Wagman), https://doi.org/10.1140/epja/i2019-12889-8, http://arXiv:1904.09704 (2019)
USQCD Collaboration (W. Detmold, R.G. Edwards, J.J. Dudek, M. Engelhardt, H.W. Lin, S. Meinel, K. Orginos, P. Shanahan) this paper, arXiv:1904.09512 (2019)
USQCD Collaboration (B. Joó, C. Jung, N.H. Christ, W. Detmold, R. Edwards, M. Savage, P. Shanahan), https://doi.org/10.1140/epja/i2019-12919-7, http://arXiv:1904.09725 (2019)
USQCD Collaboration (A.S. Kronfeld, D.G. Richards, W. Detmold, R. Gupta, H.W. Lin, K.F. Liu, A.S. Meyer, R. Sufian, S. Syritsin), https://doi.org/10.1140/epja/i2019-12916-x, http://arXiv:1904.09931 (2019)
USQCD Collaboration (C. Lehner), https://doi.org/10.1140/epja/i2019-12891-2, http://arXiv:1904.09479 (2019)
Particle Data Group (C. Patrignani et al.), Chin. Phys. C 40, 100001 (2016)
T. Bhattacharya, V. Cirigliano, S. Cohen, R. Gupta, H.W. Lin, B. Yoon, Phys. Rev. D 94, 054508 (2016) arXiv:1606.07049
B. Yoon et al., Phys. Rev. D 95, 074508 (2017) arXiv:1611.07452
C.C. Chang et al., Nature 558, 91 (2018) arXiv:1805.12130
R. Gupta, Y.C. Jang, B. Yoon, H.W. Lin, V. Cirigliano, T. Bhattacharya, Phys. Rev. D 98, 034503 (2018) arXiv:1806.09006
R. Gupta, B. Yoon, T. Bhattacharya, V. Cirigliano, Y.C. Jang, H.W. Lin, Phys. Rev. D 98, 091501 (2018) arXiv:1808.07597
P.E. Shanahan, J. Phys. G 43, 124001 (2016) arXiv:1606.08812
S. Capitani, M. Della Morte, D. Djukanovic, G. von Hippel, J. Hua, B. Jäger, B. Knippschild, H.B. Meyer, T.D. Rae, H. Wittig, Phys. Rev. D 92, 054511 (2015) arXiv:1504.04628
N. Hasan, J. Green, S. Meinel, M. Engelhardt, S. Krieg, J. Negele, A. Pochinsky, S. Syritsyn, Phys. Rev. D 97, 034504 (2018) arXiv:1711.11385
C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, C. Kallidonis, G. Koutsou, A. Vaquero Aviles-Casco, Phys. Rev. D 96, 034503 (2017) arXiv:1706.00469
PACS Collaboration (K.I. Ishikawa, Y. Kuramashi, S. Sasaki, N. Tsukamoto, A. Ukawa, T. Yamazaki), Phys. Rev. D 98, 074510 (2018) arXiv:1807.03974
W. Detmold, A. Grebe, P. Shanahan, PoS LATTICE2018, 303 (2018) arXiv:1812.00313
C. Alexandrou, S. Bacchio, M. Constantinou, J. Finkenrath, K. Hadjiyiannakou, K. Jansen, G. Koutsou, A. Vaquero Aviles-Casco, Phys. Rev. D 100, 014509 (2019) arXiv:1812.10311
H.W. Lin et al., Prog. Part. Nucl. Phys. 100, 107 (2018) arXiv:1711.07916
W. Detmold, B.C. Tiburzi, A. Walker-Loud, Phys. Rev. D 73, 114505 (2006) arXiv:hep-lat/0603026
W. Detmold, B.C. Tiburzi, A. Walker-Loud, Phys. Rev. D 79, 094505 (2009) arXiv:0904.1586
W. Detmold, B.C. Tiburzi, A. Walker-Loud, Phys. Rev. D 81, 054502 (2010) arXiv:1001.1131
W. Freeman, A. Alexandru, M. Lujan, F.X. Lee, Phys. Rev. D 90, 054507 (2014) arXiv:1407.2687
M. Lujan, A. Alexandru, W. Freeman, F. Lee, Phys. Rev. D 89, 074506 (2014) arXiv:1402.3025
NPLQCD Collaboration (E. Chang, W. Detmold, K. Orginos, A. Parreno, M.J. Savage, B.C. Tiburzi, S.R. Beane), Phys. Rev. D 92, 114502 (2015) arXiv:1506.05518
M. Lujan, A. Alexandru, W. Freeman, F.X. Lee, Phys. Rev. D 94, 074506 (2016) arXiv:1606.07928
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
A. Agadjanov, U.G. Meißner, A. Rusetsky, Phys. Rev. D 95, 031502 (2017) arXiv:1610.05545
A. Agadjanov, U.G. Meißner, A. Rusetsky, Phys. Rev. D 99, 054501 (2019) arXiv:1812.06013
A.J. Chambers et al., PoS LATTICE2015, 125 (2016) arXiv:1511.07090
LHPC Collaboration (M. Engelhardt), Phys. Rev. D 76, 114502 (2007) arXiv:0706.3919
J.C. Collins, D.E. Soper, Nucl. Phys. B 194, 445 (1982)
G. Curci, W. Furmanski, R. Petronzio, Nucl. Phys. B 175, 27 (1980)
L. Baulieu, E.G. Floratos, C. Kounnas, Nucl. Phys. B 166, 321 (1980)
J.C. Collins, D.E. Soper, G.F. Sterman, Adv. Ser. Direct. High Energy Phys. 5, 1 (1989) arXiv:hep-ph/0409313
C. Dawson, G. Martinelli, G.C. Rossi, C.T. Sachrajda, S.R. Sharpe, M. Talevi, M. Testa, Nucl. Phys. B 514, 313 (1998) arXiv:hep-lat/9707009
Z. Davoudi, M.J. Savage, Phys. Rev. D 86, 054505 (2012) arXiv:1204.4146
Z. Davoudi, PoS LATTICE2018, 014 (2018) arXiv:1812.11899
X. Ji, Phys. Rev. Lett. 110, 262002 (2013) arXiv:1305.1539
X. Ji, Sci. China Phys. Mech. Astron. 57, 1407 (2014) arXiv:1404.6680
G. Martinelli, C. Pittori, C.T. Sachrajda, M. Testa, A. Vladikas, Nucl. Phys. B 445, 81 (1995) arXiv:hep-lat/9411010
C. Alexandrou, K. Cichy, M. Constantinou, K. Hadjiyiannakou, K. Jansen, H. Panagopoulos, F. Steffens, Nucl. Phys. B 923, 394 (2017) arXiv:1706.00265
J.W. Chen, T. Ishikawa, L. Jin, H.W. Lin, Y.B. Yang, J.H. Zhang, Y. Zhao, Phys. Rev. D 97, 014505 (2018) arXiv:1706.01295
J. Green, K. Jansen, F. Steffens, Phys. Rev. Lett. 121, 022004 (2018) arXiv:1707.07152
J.W. Chen, L. Jin, H.W. Lin, Y.S. Liu, Y.B. Yang, J.H. Zhang, Y. Zhao, arXiv:1803.04393 (2018)
H.W. Lin, J.W. Chen, X. Ji, L. Jin, R. Li, Y.S. Liu, Y.B. Yang, J.H. Zhang, Y. Zhao, Phys. Rev. Lett. 121, 242003 (2018) arXiv:1807.07431
B.L. Ioffe, Phys. Lett. B 30, 123 (1969)
V. Braun, P. Gornicki, L. Mankiewicz, Phys. Rev. D 51, 6036 (1995) arXiv:hep-ph/9410318
A. Radyushkin, Phys. Lett. B 767, 314 (2017) arXiv:1612.05170
A.V. Radyushkin, Phys. Rev. D 96, 034025 (2017) arXiv:1705.01488
R.A. Briceño, J.V. Guerrero, M.T. Hansen, C.J. Monahan, Phys. Rev. D 98, 014511 (2018) arXiv:1805.01034
K. Orginos, A. Radyushkin, J. Karpie, S. Zafeiropoulos, Phys. Rev. D 96, 094503 (2017) arXiv:1706.05373
J. Karpie, K. Orginos, S. Zafeiropoulos, JHEP 11, 178 (2018) arXiv:1807.10933
NNPDF Collaboration (R.D. Ball et al.), Eur. Phys. J. C 77, 663 (2017) arXiv:1706.00428
A. Accardi, L.T. Brady, W. Melnitchouk, J.F. Owens, N. Sato, Phys. Rev. D 93, 114017 (2016) arXiv:1602.03154
J. Karpie, K. Orginos, A. Rothkopf, S. Zafeiropoulos, JHEP 04, 057 (2019) arXiv:1901.05408
G. Backus, F. Gilbert, Geophys. J. Int. 16, 169 (1968)
Y. Burnier, A. Rothkopf, Phys. Rev. Lett. 111, 182003 (2013) arXiv:1307.6106
S. Forte, L. Garrido, J.I. Latorre, A. Piccione, JHEP 05, 062 (2002) arXiv:hep-ph/0204232
Y.Q. Ma, J.W. Qiu, Phys. Rev. D 98, 074021 (2018) arXiv:1404.6860
Y.Q. Ma, J.W. Qiu, Int. J. Mod. Phys. Conf. Ser. 37, 1560041 (2015) arXiv:1412.2688
Y.Q. Ma, J.W. Qiu, Phys. Rev. Lett. 120, 022003 (2018) arXiv:1709.03018
R.S. Sufian, J. Karpie, C. Egerer, K. Orginos, J.W. Qiu, D.G. Richards, Phys. Rev. D 99, 074507 (2019) arXiv:1901.03921
K.F. Liu, S.J. Dong, Phys. Rev. Lett. 72, 1790 (1994) arXiv:hep-ph/9306299
U. Aglietti, M. Ciuchini, G. Corbo, E. Franco, G. Martinelli, L. Silvestrini, Phys. Lett. B 432, 411 (1998) arXiv:hep-ph/9804416
W. Detmold, C.J.D. Lin, Phys. Rev. D 73, 014501 (2006) arXiv:hep-lat/0507007
K.F. Liu, PoS LATTICE2015, 115 (2016) arXiv:1603.07352
J. Liang, K.F. Liu, Y.B. Yang, EPJ Web of Conferences 175, 14014 (2018) arXiv:1710.11145
W. Detmold, I. Kanamori, C.J.D. Lin, S. Mondal, Y. Zhao, PoS LATTICE2018, 106 (2018) arXiv:1810.12194
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
X.d. Ji, C.w. Jung, Phys. Rev. Lett. 86, 208 (2001) arXiv:hep-lat/0101014
A.V. Radyushkin, Phys. Rev. D 56, 5524 (1997) arXiv:hep-ph/9704207
M. Diehl, Phys. Rep. 388, 41 (2003) arXiv:hep-ph/0307382
A.V. Belitsky, A.V. Radyushkin, Phys. Rep. 418, 1 (2005) arXiv:hep-ph/0504030
M. Burkardt, Phys. Rev. D 62, 071503 (2000) Phys. Rev. D 66
LHPC, SESAM Collaborations (P. Hagler, J.W. Negele, D.B. Renner, W. Schroers, T. Lippert, K. Schilling), Phys. Rev. D 68, 034505 (2003) arXiv:hep-lat/0304018
LHPC Collaboration (P. Hagler et al.), Phys. Rev. D 77, 094502 (2008) arXiv:0705.4295
P. Hagler, B.U. Musch, J.W. Negele, A. Schafer, EPL 88, 61001 (2009) arXiv:0908.1283
X.D. Ji, Phys. Rev. Lett. 78, 610 (1997) arXiv:hep-ph/9603249
R.L. Jaffe, A. Manohar, Nucl. Phys. B 337, 509 (1990)
Y.B. Yang, R.S. Sufian, A. Alexandru, T. Draper, M.J. Glatzmaier, K.F. Liu, Y. Zhao, Phys. Rev. Lett. 118, 102001 (2017) arXiv:1609.05937
C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, C. Kallidonis, G. Koutsou, A. Vaquero Aviles-Casco, C. Wiese, Phys. Rev. Lett. 119, 142002 (2017) arXiv:1706.02973
M.V. Polyakov, P. Schweitzer, Int. J. Mod. Phys. A 33, 1830025 (2018) arXiv:1805.06596
S.N. Syritsyn, J.R. Green, J.W. Negele, A.V. Pochinsky, M. Engelhardt, P. Hagler, B. Musch, W. Schroers, PoS LATTICE2011, 178 (2011) arXiv:1111.0718
G.S. Bali et al., PoS Lattice2013, 291 (2014) arXiv:1312.0828
LHPC Collaboration (J.D. Bratt et al.), Phys. Rev. D 82, 094502 (2010) arXiv:1001.3620
A. Sternbeck et al., PoS LATTICE2011, 177 (2011) arXiv:1203.6579
QCDSF-UKQCD Collaboration (D. Brommel et al.), PoS LATTICE2007, 158 (2007) arXiv:0710.1534
QCDSF Collaboration (M. Gockeler, R. Horsley, D. Pleiter, P.E.L. Rakow, A. Schafer, G. Schierholz, W. Schroers), Phys. Rev. Lett. 92, 042002 (2004) arXiv:hep-ph/0304249
C. Alexandrou, J. Carbonell, M. Constantinou, P.A. Harraud, P. Guichon, K. Jansen, C. Kallidonis, T. Korzec, M. Papinutto, Phys. Rev. D 83, 114513 (2011) arXiv:1104.1600
M. Deka et al., Phys. Rev. D 91, 014505 (2015) arXiv:1312.4816
C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, H. Panagopoulos, C. Wiese, Phys. Rev. D 96, 054503 (2017) arXiv:1611.06901
D. Boer, arXiv:1108.1713 (2011)
COMPASS Collaboration (M. Alekseev et al.), Phys. Lett. B 673, 127 (2009) arXiv:0802.2160
COMPASS Collaboration (C. Adolph et al.), Phys. Lett. B 736, 124 (2014) arXiv:1401.7873
HERMES Collaboration (A. Airapetian et al.), Phys. Rev. Lett. 103, 152002 (2009) arXiv:0906.3918
HERMES Collaboration (A. Airapetian et al.), Phys. Lett. B 728, 183 (2014) arXiv:1310.5070
Jefferson Lab Hall A Collaboration (X. Qian et al.), Phys. Rev. Lett. 107, 072003 (2011) arXiv:1106.0363
CLAS Collaboration (H. Avakian et al.), Phys. Rev. Lett. 105, 262002 (2010) arXiv:1003.4549
COMPASS Collaboration (F. Gautheron), CERN experimental proposal, CERN-SPSC-2010-014. SPSC-P-340 (2010)
C. Brown, FERMILAB proposal, FERMILAB-PROPOSAL-1039 (2014)
PHENIX Collaboration (A. Adare et al.), Phys. Rev. D 90, 012006 (2014) arXiv:1312.1995
STAR Collaboration (L. Adamczyk et al.), Phys. Rev. D 86, 051101 (2012) arXiv:1205.6826
M.G. Echevarria, A. Idilbi, Z.B. Kang, I. Vitev, Int. J. Mod. Phys. Conf. Ser. 37, 1560025 (2015) arXiv:1411.3682
A. Accardi et al., Eur. Phys. J. A 52, 268 (2016) arXiv:1212.1701
B.U. Musch, P. Hagler, M. Engelhardt, J.W. Negele, A. Schafer, Phys. Rev. D 85, 094510 (2012) arXiv:1111.4249
M. Engelhardt, P. Hägler, B. Musch, J. Negele, A. Schäfer, Phys. Rev. D 93, 054501 (2016) arXiv:1506.07826
B.U. Musch, P. Hagler, J.W. Negele, A. Schafer, Phys. Rev. D 83, 094507 (2011) arXiv:1011.1213
B. Yoon, M. Engelhardt, R. Gupta, T. Bhattacharya, J.R. Green, B.U. Musch, J.W. Negele, A.V. Pochinsky, A. Schäfer, S.N. Syritsyn, Phys. Rev. D 96, 094508 (2017) arXiv:1706.03406
M. Engelhardt, Phys. Rev. D 95, 094505 (2017) arXiv:1701.01536
M. Constantinou, H. Panagopoulos, Phys. Rev. D 96, 054506 (2017) arXiv:1705.11193
M. Engelhardt, B. Musch, T. Bhattacharya, R. Gupta, P. Hägler, S. Krieg, J. Negele, A. Pochinsky, S. Syritsyn, B. Yoon, PoS LATTICE2015, 117 (2016)
A. Stathopoulos, J. Laeuchli, K. Orginos, arXiv:1302.4018 (2013)
S. Meissner, A. Metz, M. Schlegel, JHEP 08, 056 (2009) arXiv:0906.5323
PHENIX Collaboration (A. Adare et al.), Phys. Rev. D 90, 012007 (2014) arXiv:1402.6296
STAR Collaboration (P. Djawotho), Nuovo Cimento C 036, 35 (2013) arXiv:1303.0543
N. Kalantarians, J. Phys. Conf. Ser. 543, 012008 (2014)
A. Aprahamian, Reaching for the horizon: The 2015 long range plan for nuclear science (2015) https://science.osti.gov/-/media/np/nsac/pdf/2015LRP/2015_LRPNS_091815.pdf
J. Maxwell, arXiv:1803.11206 (2018)
CLAS Collaboration (M. Hattawy et al.), Phys. Rev. Lett. 119, 202004 (2017) arXiv:1707.03361
GlueX Collaboration (S. Dobbs), PoS Hadron2017, 047 (2018) arXiv:1712.07214
A.J. Baltz, Phys. Rep. 458, 1 (2008) arXiv:0706.3356
W. Detmold, P.E. Shanahan, Phys. Rev. D 94, 014507 (2016) Phys. Rev. D 95
W. Detmold, D. Pefkou, P.E. Shanahan, Phys. Rev. D 95, 114515 (2017) arXiv:1703.08220
F. Winter, W. Detmold, A.S. Gambhir, K. Orginos, M.J. Savage, P.E. Shanahan, M.L. Wagman, Phys. Rev. D 96, 094512 (2017) arXiv:1709.00395
H.B. Meyer, J.W. Negele, Phys. Rev. D 77, 037501 (2008) arXiv:0707.3225
QCDSF, UKQCD Collaborations (R. Horsley, R. Millo, Y. Nakamura, H. Perlt, D. Pleiter, P.E.L. Rakow, G. Schierholz, A. Schiller, F. Winter, J.M. Zanotti), Phys. Lett. B 714, 312 (2012) arXiv:1205.6410
C. Alexandrou, V. Drach, K. Hadjiyiannakou, K. Jansen, B. Kostrzewa, C. Wiese, PoS LATTICE2013, 289 (2014) arXiv:1311.3174
D. de Florian, R. Sassot, M. Stratmann, W. Vogelsang, Phys. Rev. Lett. 113, 012001 (2014) arXiv:1404.4293
M.J. Glatzmaier, K.F. Liu, Y.B. Yang, Phys. Rev. D 95, 074513 (2017) arXiv:1403.7211
Y.B. Yang, M. Gong, J. Liang, H.W. Lin, K.F. Liu, D. Pefkou, P. Shanahan, Phys. Rev. D 98, 074506 (2018) arXiv:1805.00531
S. Dulat, T.J. Hou, J. Gao, M. Guzzi, J. Huston, P. Nadolsky, J. Pumplin, C. Schmidt, D. Stump, C.P. Yuan, Phys. Rev. D 93, 033006 (2016) arXiv:1506.07443
P.E. Shanahan, W. Detmold, Phys. Rev. Lett. 122, 072003 (2019) arXiv:1810.07589
P.E. Shanahan, W. Detmold, Phys. Rev. D 99, 014511 (2019) arXiv:1810.04626
V.D. Burkert, L. Elouadrhiri, F.X. Girod, Nature 557, 396 (2018)
E. Chudakov, D. Higinbotham, C. Hyde, S. Furletov, Yu. Furletova, D. Nguyen, M. Stratmann, M. Strikman, C. Weiss, R. Yoshida, PoS DIS2016, 143 (2016) arXiv:1608.08686
H.W. Lin, J.W. Chen, S.D. Cohen, X. Ji, Phys. Rev. D 91, 054510 (2015) arXiv:1402.1462
C. Alexandrou, K. Cichy, V. Drach, E. Garcia-Ramos, K. Hadjiyiannakou, K. Jansen, F. Steffens, C. Wiese, Phys. Rev. D 92, 014502 (2015) arXiv:1504.07455
C.A. Meyer, E.S. Swanson, Prog. Part. Nucl. Phys. 82, 21 (2015) arXiv:1502.07276
R.F. Lebed, R.E. Mitchell, E.S. Swanson, Prog. Part. Nucl. Phys. 93, 143 (2017) arXiv:1610.04528
F.K. Guo, C. Hanhart, U.G. Meißner, Q. Wang, Q. Zhao, B.S. Zou, Rev. Mod. Phys. 90, 015004 (2018) arXiv:1705.00141
A. Duncan, E. Eichten, H. Thacker, Phys. Rev. Lett. 76, 3894 (1996) arXiv:hep-lat/9602005
T. Blum, T. Doi, M. Hayakawa, T. Izubuchi, N. Yamada, Phys. Rev. D 76, 114508 (2007) arXiv:0708.0484
S. Borsanyi et al., Science 347, 1452 (2015) arXiv:1406.4088
R. Horsley et al., J. Phys. G 43, 10LT02 (2016) arXiv:1508.06401
T. Blum, R. Zhou, T. Doi, M. Hayakawa, T. Izubuchi, S. Uno, N. Yamada, Phys. Rev. D 82, 094508 (2010) arXiv:1006.1311
S. Aoki et al., Phys. Rev. D 86, 034507 (2012) arXiv:1205.2961
RM123 Collaboration (G.M. de Divitiis, R. Frezzotti, V. Lubicz, G. Martinelli, R. Petronzio, G.C. Rossi, F. Sanfilippo, S. Simula, N. Tantalo), Phys. Rev. D 87, 114505 (2013) arXiv:1303.4896
J.J. Dudek, R.G. Edwards, M.J. Peardon, D.G. Richards, C.E. Thomas, Phys. Rev. D 82, 034508 (2010) arXiv:1004.4930
Hadron Spectrum Collaboration (J.J. Dudek, R.G. Edwards, P. Guo, C.E. Thomas), Phys. Rev. D 88, 094505 (2013) arXiv:1309.2608
Hadron Spectrum Collaboration (L. Liu, G. Moir, M. Peardon, S.M. Ryan, C.E. Thomas, P. Vilaseca, J.J. Dudek, R.G. Edwards, B. Joo, D.G. Richards), JHEP 07, 126 (2012) arXiv:1204.5425
J.J. Dudek, R.G. Edwards, Phys. Rev. D 85, 054016 (2012) arXiv:1201.2349
J.J. Dudek, Phys. Rev. D 84, 074023 (2011) arXiv:1106.5515
M. Luscher, Commun. Math. Phys. 105, 153 (1986)
M. Lüscher, Nucl. Phys. B 354, 531 (1991)
K. Rummukainen, S.A. Gottlieb, Nucl. Phys. B 450, 397 (1995) arXiv:hep-lat/9503028
X. Feng, X. Li, C. Liu, Phys. Rev. D 70, 014505 (2004) arXiv:hep-lat/0404001
S. He, X. Feng, C. Liu, JHEP 07, 011 (2005) arXiv:hep-lat/0504019
P.F. Bedaque, Phys. Lett. B 593, 82 (2004) arXiv:nucl-th/0402051
C. Liu, X. Feng, S. He, Int. J. Mod. Phys. A 21, 847 (2006) arXiv:hep-lat/0508022
C.h. Kim, C.T. Sachrajda, S.R. Sharpe, Nucl. Phys. B 727, 218 (2005) arXiv:hep-lat/0507006
N.H. Christ, C. Kim, T. Yamazaki, Phys. Rev. D 72, 114506 (2005) arXiv:hep-lat/0507009
M. Lage, U.G. Meissner, A. Rusetsky, Phys. Lett. B 681, 439 (2009) arXiv:0905.0069
V. Bernard, M. Lage, U.G. Meissner, A. Rusetsky, JHEP 01, 019 (2011) arXiv:1010.6018
Z. Fu, Phys. Rev. D 85, 014506 (2012) arXiv:1110.0319
M. Gockeler, R. Horsley, M. Lage, U.G. Meissner, P.E.L. Rakow, A. Rusetsky, G. Schierholz, J.M. Zanotti, Phys. Rev. D 86, 094513 (2012) arXiv:1206.4141
L. Leskovec, S. Prelovsek, Phys. Rev. D 85, 114507 (2012) arXiv:1202.2145
R.A. Briceno, Z. Davoudi, Phys. Rev. D 88, 094507 (2013) arXiv:1204.1110
M.T. Hansen, S.R. Sharpe, Phys. Rev. D 86, 016007 (2012) arXiv:1204.0826
P. Guo, J. Dudek, R. Edwards, A.P. Szczepaniak, Phys. Rev. D 88, 014501 (2013) arXiv:1211.0929
N. Li, C. Liu, Phys. Rev. D 87, 014502 (2013) arXiv:1209.2201
R.A. Briceño, Z. Davoudi, T.C. Luu, M.J. Savage, Phys. Rev. D 89, 074509 (2014) arXiv:1311.7686
R.A. Briceño, Phys. Rev. D 89, 074507 (2014) arXiv:1401.3312
CP-PACS Collaboration (S. Aoki et al.), Phys. Rev. D 76, 094506 (2007) arXiv:0708.3705
X. Feng, K. Jansen, D.B. Renner, Phys. Rev. D 83, 094505 (2011) arXiv:1011.5288
C.B. Lang, D. Mohler, S. Prelovsek, M. Vidmar, Phys. Rev. D 84, 054503 (2011) Phys. Rev. D 89
CS Collaboration (S. Aoki et al.), Phys. Rev. D 84, 094505 (2011) arXiv:1106.5365
Hadron Spectrum Collaboration (J.J. Dudek, R.G. Edwards, C.E. Thomas), Phys. Rev. D 87, 034505 (2013) Phys. Rev. D 90
C. Pelissier, A. Alexandru, Phys. Rev. D 87, 014503 (2013) arXiv:1211.0092
D.J. Wilson, R.A. Briceño, J.J. Dudek, R.G. Edwards, C.E. Thomas, Phys. Rev. D 92, 094502 (2015) arXiv:1507.02599
RQCD Collaboration (G.S. Bali, S. Collins, A. Cox, G. Donald, M. Göckeler, C.B. Lang, A. Schäfer), Phys. Rev. D 93, 054509 (2016) arXiv:1512.08678
J. Bulava, B. Fahy, B. Hörz, K.J. Juge, C. Morningstar, C.H. Wong, Nucl. Phys. B 910, 842 (2016) arXiv:1604.05593
D. Guo, A. Alexandru, R. Molina, M. Döring, Phys. Rev. D 94, 034501 (2016) arXiv:1605.03993
R.A. Briceño, J.J. Dudek, R.G. Edwards, D.J. Wilson, Phys. Rev. Lett. 118, 022002 (2017) arXiv:1607.05900
D. Guo, A. Alexandru, R. Molina, M. Mai, M. Döring, Phys. Rev. D 98, 014507 (2018) arXiv:1803.02897
C.B. Lang, L. Leskovec, D. Mohler, S. Prelovsek, Phys. Rev. D 86, 054508 (2012) arXiv:1207.3204
Z. Fu, K. Fu, Phys. Rev. D 86, 094507 (2012) arXiv:1209.0350
S. Prelovsek, L. Leskovec, C.B. Lang, D. Mohler, Phys. Rev. D 88, 054508 (2013) arXiv:1307.0736
R. Brett, J. Bulava, J. Fallica, A. Hanlon, B. Hörz, C. Morningstar, Nucl. Phys. B 932, 29 (2018) arXiv:1802.03100
C.W. Andersen, J. Bulava, B. Hörz, C. Morningstar, Phys. Rev. D 97, 014506 (2018) arXiv:1710.01557
M. Luscher, U. Wolff, Nucl. Phys. B 339, 222 (1990)
X. Li, C. Liu, Phys. Lett. B 587, 100 (2004) arXiv:hep-lat/0311035
W. Detmold, M.J. Savage, Nucl. Phys. A 743, 170 (2004) arXiv:hep-lat/0403005
D. Mohler, S. Prelovsek, R. Woloshyn, Phys. Rev. D 87, 034501 (2013) arXiv:1208.4059
S. Prelovsek, L. Leskovec, Phys. Rev. Lett. 111, 192001 (2013) arXiv:1307.5172
C.B. Lang, L. Leskovec, D. Mohler, S. Prelovsek, R.M. Woloshyn, Phys. Rev. D 90, 034510 (2014) arXiv:1403.8103
C.B. Lang, L. Leskovec, D. Mohler, S. Prelovsek, JHEP 09, 089 (2015) arXiv:1503.05363
C.B. Lang, D. Mohler, S. Prelovsek, Phys. Rev. D 94, 074509 (2016) arXiv:1607.03185
Hadron Spectrum Collaboration (J.J. Dudek, R.G. Edwards, C.E. Thomas, D.J. Wilson), Phys. Rev. Lett. 113, 182001 (2014) arXiv:1406.4158
D.J. Wilson, J.J. Dudek, R.G. Edwards, C.E. Thomas, Phys. Rev. D 91, 054008 (2015) arXiv:1411.2004
G. Moir, M. Peardon, S.M. Ryan, C.E. Thomas, D.J. Wilson, JHEP 10, 011 (2016) arXiv:1607.07093
Hadron Spectrum Collaboration (J.J. Dudek, R.G. Edwards, D.J. Wilson), Phys. Rev. D 93, 094506 (2016) arXiv:1602.05122
R.A. Briceño, J.J. Dudek, R.G. Edwards, D.J. Wilson, Phys. Rev. D 97, 054513 (2018) arXiv:1708.06667
M. Doring, U.G. Meissner, E. Oset, A. Rusetsky, Eur. Phys. J. A 47, 139 (2011) arXiv:1107.3988
M. Albaladejo, P. Fernandez-Soler, F.K. Guo, J. Nieves, Phys. Lett. B 767, 465 (2017) arXiv:1610.06727
L. Lellouch, M. Lüscher, Commun. Math. Phys. 219, 31 (2001) arXiv:hep-lat/0003023
C.J.D. Lin, G. Martinelli, C.T. Sachrajda, M. Testa, Nucl. Phys. B 619, 467 (2001) arXiv:hep-lat/0104006
V. Bernard, D. Hoja, U.G. Meissner, A. Rusetsky, JHEP 09, 023 (2012) arXiv:1205.4642
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
R.A. Briceño, J.J. Dudek, R.G. Edwards, C.J. Shultz, C.E. Thomas, D.J. Wilson, Phys. Rev. Lett. 115, 242001 (2015) arXiv:1507.06622
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
C. Alexandrou, L. Leskovec, S. Meinel, J. Negele, S. Paul, M. Petschlies, A. Pochinsky, G. Rendon, S. Syritsyn, Phys. Rev. D 98, 074502 (2018) arXiv:1807.08357
X. Feng, S. Aoki, S. Hashimoto, T. Kaneko, Phys. Rev. D 91, 054504 (2015) arXiv:1412.6319
Hadron Spectrum Collaboration (M. Peardon, J. Bulava, J. Foley, C. Morningstar, J. Dudek, R.G. Edwards, B. Joo, H.W. Lin, D.G. Richards, K.J. Juge), Phys. Rev. D 80, 054506 (2009) arXiv:0905.2160
C. Morningstar, J. Bulava, J. Foley, K.J. Juge, D. Lenkner, M. Peardon, C.H. Wong, Phys. Rev. D 83, 114505 (2011) arXiv:1104.3870
A. Woss, C.E. Thomas, J.J. Dudek, R.G. Edwards, D.J. Wilson, JHEP 07, 043 (2018) arXiv:1802.05580
K. Polejaeva, A. Rusetsky, Eur. Phys. J. A 48, 67 (2012) arXiv:1203.1241
M.T. Hansen, S.R. Sharpe, Phys. Rev. D 92, 114509 (2015) arXiv:1504.04248
M.T. Hansen, S.R. Sharpe, Phys. Rev. D 90, 116003 (2014) arXiv:1408.5933
R.A. Briceño, M.T. Hansen, S.R. Sharpe, Phys. Rev. D 99, 014516 (2019) arXiv:1810.01429
M. Döring, H.W. Hammer, M. Mai, J.Y. Pang, A. Rusetsky, J. Wu, Phys. Rev. D 97, 114508 (2018) arXiv:1802.03362
M. Mai, M. Döring, Eur. Phys. J. A 53, 240 (2017) arXiv:1709.08222
M. Mai, M. Doring, Phys. Rev. Lett. 122, 062503 (2019) arXiv:1807.04746
H.W. Hammer, J.Y. Pang, A. Rusetsky, JHEP 10, 115 (2017) arXiv:1707.02176
H.W. Hammer, J.Y. Pang, A. Rusetsky, JHEP 09, 109 (2017) arXiv:1706.07700
Belle Collaboration (S.K. Choi et al.), Phys. Rev. Lett. 91, 262001 (2003) arXiv:hep-ex/0309032
F.K. Guo, U.G. Meißner, W. Wang, Z. Yang, Phys. Rev. D 92, 071502 (2015) arXiv:1507.04950
A.P. Szczepaniak, Phys. Lett. B 747, 410 (2015) arXiv:1501.01691
Hadron Spectrum Collaboration (G.K.C. Cheung, C.E. Thomas, J.J. Dudek, R.G. Edwards), JHEP 11, 033 (2017) arXiv:1709.01417
S. Prelovsek, C.B. Lang, L. Leskovec, D. Mohler, Phys. Rev. D 91, 014504 (2015) arXiv:1405.7623
A. Francis, R.J. Hudspith, R. Lewis, K. Maltman, Phys. Rev. Lett. 118, 142001 (2017) arXiv:1607.05214
P. Junnarkar, N. Mathur, M. Padmanath, Phys. Rev. D 99, 034507 (2019) arXiv:1810.12285
L. Leskovec, S. Meinel, M. Pflaumer, M. Wagner, Phys. Rev. D 100, 014503 (2019) arXiv:1904.04197
C. Hughes, E. Eichten, C.T.H. Davies, Phys. Rev. D 97, 054505 (2018) arXiv:1710.03236
A. Francis, R.J. Hudspith, R. Lewis, K. Maltman, Phys. Rev. D 99, 054505 (2019) arXiv:1810.10550
J.G. Korner, M. Kramer, D. Pirjol, Prog. Part. Nucl. Phys. 33, 787 (1994) arXiv:hep-ph/9406359
A.V. Manohar, M.B. Wise, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 10, 1 (2000)
J. Carlson, L. Heller, J.A. Tjon, Phys. Rev. D 37, 744 (1988)
M.J. Savage, M.B. Wise, Phys. Lett. B 248, 177 (1990)
A.V. Manohar, M.B. Wise, Nucl. Phys. B 399, 17 (1993) arXiv:hep-ph/9212236
N. Brambilla, A. Vairo, T. Rosch, Phys. Rev. D 72, 034021 (2005) arXiv:hep-ph/0506065
E.J. Eichten, C. Quigg, Phys. Rev. Lett. 119, 202002 (2017) arXiv:1707.09575
CMS Collaboration (S. Chatrchyan et al.), Phys. Rev. Lett. 108, 252002 (2012) arXiv:1204.5955
LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 109, 172003 (2012) arXiv:1205.3452
LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 114, 062004 (2015) arXiv:1411.4849
LHCb Collaboration (R. Aaij et al.), JHEP 05, 161 (2016) arXiv:1604.03896
LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 119, 112001 (2017) arXiv:1707.01621
LHCb Collaboration (R. Aaij et al.), JHEP 05, 030 (2017) arXiv:1701.07873
LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 118, 182001 (2017) arXiv:1703.04639
LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 121, 072002 (2018) arXiv:1805.09418
LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 122, 012001 (2019) arXiv:1809.07752
Z.S. Brown, W. Detmold, S. Meinel, K. Orginos, Phys. Rev. D 90, 094507 (2014) arXiv:1409.0497
M. Padmanath, R.G. Edwards, N. Mathur, M. Peardon, Phys. Rev. D 91, 094502 (2015) arXiv:1502.01845
P. Perez-Rubio, S. Collins, G.S. Bali, Phys. Rev. D 92, 034504 (2015) arXiv:1503.08440
K.U. Can, G. Erkol, M. Oka, T.T. Takahashi, Phys. Rev. D 92, 114515 (2015) arXiv:1508.03048
C. Alexandrou, K. Hadjiyiannakou, C. Kallidonis, Phys. Rev. D 94, 034502 (2016) arXiv:1606.01650
H. Bahtiyar, K.U. Can, G. Erkol, M. Oka, T.T. Takahashi, Phys. Rev. D 98, 114505 (2018) arXiv:1807.06795
R.M. Woloshyn, Eur. Phys. J. A 52, 273 (2016) arXiv:1605.09043
C. Alexandrou, C. Kallidonis, Phys. Rev. D 96, 034511 (2017) arXiv:1704.02647
N. Mathur, M. Padmanath, S. Mondal, Phys. Rev. Lett. 121, 202002 (2018) arXiv:1806.04151
N. Mathur, M. Padmanath, Phys. Rev. D 99, 031501 (2019) arXiv:1807.00174
LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 115, 072001 (2015) arXiv:1507.03414
LHCb Collaboration (R. Aaij et al.), Phys. Rev. Lett. 122, 222001 (2019) arXiv:1904.03947
K. Yokokawa, S. Sasaki, T. Hatsuda, A. Hayashigaki, Phys. Rev. D 74, 034504 (2006) arXiv:hep-lat/0605009
L. Liu, H.W. Lin, K. Orginos, PoS LATTICE2008, 112 (2008) arXiv:0810.5412
T. Kawanai, S. Sasaki, Phys. Rev. D 82, 091501 (2010) arXiv:1009.3332
S.R. Beane, E. Chang, S.D. Cohen, W. Detmold, H.W. Lin, K. Orginos, A. Parreño, M.J. Savage, Phys. Rev. D 91, 114503 (2015) arXiv:1410.7069
U. Skerbis, S. Prelovsek, Phys. Rev. D 99, 094505 (2019) arXiv:1811.02285
PACS-CS Collaboration (T. Yamazaki, Y. Kuramashi, A. Ukawa), Phys. Rev. D 81, 111504 (2010) arXiv:0912.1383
NPLQCD Collaboration (S.R. Beane, P.F. Bedaque, T.C. Luu, K. Orginos, E. Pallante, A. Parreno, M.J. Savage), Nucl. Phys. A 794, 62 (2007) arXiv:hep-lat/0612026
S.R. Beane, P.F. Bedaque, K. Orginos, M.J. Savage, Phys. Rev. Lett. 97, 012001 (2006) arXiv:hep-lat/0602010
S.R. Beane, W. Detmold, T.C. Luu, K. Orginos, A. Parreno, M.J. Savage, A. Torok, A. Walker-Loud, Phys. Rev. D 80, 074501 (2009) arXiv:0905.0466
S.R. Beane, W. Detmold, T.C. Luu, K. Orginos, A. Parreno, M.J. Savage, A. Torok, A. Walker-Loud, Phys. Rev. D 79, 114502 (2009) arXiv:0903.2990
NPLQCD Collaboration (S.R. Beane et al.), Phys. Rev. Lett. 106, 162001 (2011) arXiv:1012.3812
HAL QCD Collaboration (T. Inoue, N. Ishii, S. Aoki, T. Doi, T. Hatsuda, Y. Ikeda, K. Murano, H. Nemura, K. Sasaki), Phys. Rev. Lett. 106, 162002 (2011) arXiv:1012.5928
S.R. Beane et al., Mod. Phys. Lett. A 26, 2587 (2011) arXiv:1103.2821
NPLQCD Collaboration (S.R. Beane, E. Chang, W. Detmold, H.W. Lin, T.C. Luu, K. Orginos, A. Parreno, M.J. Savage, A. Torok, A. Walker-Loud), Phys. Rev. D 85, 054511 (2012) arXiv:1109.2889
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
A. Francis, J.R. Green, P.M. Junnarkar, C. Miao, T.D. Rae, H. Wittig, Phys. Rev. D 99, 074505 (2019) arXiv:1805.03966
M.L. Wagman, F. Winter, E. Chang, Z. Davoudi, W. Detmold, K. Orginos, M.J. Savage, P.E. Shanahan, Phys. Rev. D 96, 114510 (2017) arXiv:1706.06550
N. Ishii, S. Aoki, T. Hatsuda, Phys. Rev. Lett. 99, 022001 (2007) arXiv:nucl-th/0611096
W. Detmold, K. Orginos, M.J. Savage, Phys. Rev. D 76, 114503 (2007) arXiv:hep-lat/0703009
M.C. Birse, Eur. Phys. J. A 53, 223 (2017) arXiv:1208.4807
T. Yamazaki, Y. Kuramashi, Phys. Rev. D 98, 038502 (2018) arXiv:1808.06299
T. Yamazaki, Y. Kuramashi, Phys. Rev. D 96, 114511 (2017) arXiv:1709.09779
Y. Namekawa, T. Yamazaki, Phys. Rev. D 98, 011501 (2018) arXiv:1712.10141
HAL QCD Collaboration (D. Kawai, S. Aoki, T. Doi, Y. Ikeda, T. Inoue, T. Iritani, N. Ishii, T. Miyamoto, H. Nemura, K. Sasaki), Prog. Theor. Exp. Phys. 2018, 043B04 (2018) arXiv:1711.01883
S.R. Beane, W. Detmold, T.C. Luu, K. Orginos, M.J. Savage, A. Torok, Phys. Rev. Lett. 100, 082004 (2008) arXiv:0710.1827
W. Detmold, K. Orginos, M.J. Savage, A. Walker-Loud, Phys. Rev. D 78, 054514 (2008) arXiv:0807.1856
W. Detmold, B. Smigielski, Phys. Rev. D 84, 014508 (2011) arXiv:1103.4362
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
T. Yamazaki, K.i. Ishikawa, Y. Kuramashi, A. Ukawa, Phys. Rev. D 86, 074514 (2012) arXiv:1207.4277
T. Yamazaki, K.i. Ishikawa, Y. Kuramashi, A. Ukawa, Phys. Rev. D 92, 014501 (2015) arXiv:1502.04182
HAL QCD Collaboration (T. Iritani, S. Aoki, T. Doi, S. Gongyo, T. Hatsuda, Y. Ikeda, T. Inoue, N. Ishii, H. Nemura, K. Sasaki), Phys. Rev. D 99, 014514 (2019) arXiv:1805.02365
S.R. Beane, arXiv:1705.09239 (2017)
PACS Collaboration (T. Yamazaki, K.i. Ishikawa, Y. Kuramashi), EPJ Web of Conferences 175, 05019 (2018) arXiv:1710.08066
G.P. Lepage, The analysis of algorithms for lattice field theory, lectures given at TASI’89 Summer School, Boulder, CO, Jun 4--30, 1989
G. Parisi, Phys. Rep. 103, 203 (1984)
H.W. Hamber, E. Marinari, G. Parisi, C. Rebbi, Nucl. Phys. B 225, 475 (1983)
S.R. Beane, W. Detmold, K. Orginos, M.J. Savage, J. Phys. G 42, 034022 (2015) arXiv:1410.2937
M.L. Wagman, PhD Thesis, Washington U., Seattle, arXiv:1711.00062 (2017)
M.L. Wagman, M.J. Savage, arXiv:1704.07356 (2017)
M.L. Wagman, M.J. Savage, Phys. Rev. D 96, 114508 (2017) arXiv:1611.07643
W. Detmold, G. Kanwar, M.L. Wagman, Phys. Rev. D 98, 074511 (2018) arXiv:1806.01832
W. Detmold, M.G. Endres, Phys. Rev. D 90, 034503 (2014) arXiv:1404.6816
T. Doi, M.G. Endres, Comput. Phys. Commun. 184, 117 (2013) arXiv:1205.0585
J. Günther, B.C. Toth, L. Varnhorst, Phys. Rev. D 87, 094513 (2013) arXiv:1301.4895
W. Detmold, M.J. Savage, Phys. Rev. D 82, 014511 (2010) arXiv:1001.2768
W. Detmold, K. Orginos, Phys. Rev. D 87, 114512 (2013) arXiv:1207.1452
K. Orginos, A. Parreno, M.J. Savage, S.R. Beane, E. Chang, W. Detmold, Phys. Rev. D 92, 114512 (2015) arXiv:1508.07583
E. Epelbaum, H. Krebs, T.A. Lähde, D. Lee, U.G. Meißner, Phys. Rev. Lett. 110, 112502 (2013) arXiv:1212.4181
J.C. Berengut, E. Epelbaum, V.V. Flambaum, C. Hanhart, U.G. Meissner, J. Nebreda, J.R. Pelaez, Phys. Rev. D 87, 085018 (2013) arXiv:1301.1738
M.E. Carrillo-Serrano, I.C. Cloët, K. Tsushima, A.W. Thomas, I.R. Afnan, Phys. Rev. C 87, 015801 (2013) arXiv:1208.3009
W. Detmold, M. McCullough, A. Pochinsky, Phys. Rev. D 90, 115013 (2014) arXiv:1406.2276
W. Detmold, M. McCullough, A. Pochinsky, Phys. Rev. D 90, 114506 (2014) arXiv:1406.4116
V. Ayyar, T. DeGrand, M. Golterman, D.C. Hackett, W.I. Jay, E.T. Neil, Y. Shamir, B. Svetitsky, Phys. Rev. D 97, 074505 (2018) arXiv:1710.00806
European Muon Collaboration (J.J. Aubert et al.), Phys. Lett. B 123, 275 (1983)
S.R. Beane, E. Chang, S. Cohen, W. Detmold, H.W. Lin, K. Orginos, A. Parreno, M.J. Savage, B.C. Tiburzi, Phys. Rev. Lett. 113, 252001 (2014) arXiv:1409.3556
NPLQCD Collaboration (S.R. Beane, E. Chang, W. Detmold, K. Orginos, A. Parreño, M.J. Savage, B.C. Tiburzi), Phys. Rev. Lett. 115, 132001 (2015) arXiv:1505.02422
W. Detmold, K. Orginos, A. Parreno, M.J. Savage, B.C. Tiburzi, S.R. Beane, E. Chang, Phys. Rev. Lett. 116, 112301 (2016) arXiv:1508.05884
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
NPLQCD Collaboration (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
T. Marrodán Undagoitia, L. Rauch, J. Phys. G 43, 013001 (2016) arXiv:1509.08767
C. Delaunay, R. Ozeri, G. Perez, Y. Soreq, Phys. Rev. D 96, 093001 (2017) arXiv:1601.05087
C. Delaunay, C. Frugiuele, E. Fuchs, Y. Soreq, Phys. Rev. D 96, 115002 (2017) arXiv:1709.02817
J. Engel, M.J. Ramsey-Musolf, U. van Kolck, Prog. Part. Nucl. Phys. 71, 21 (2013) arXiv:1303.2371
N. Yamanaka, Int. J. Mod. Phys. E 26, 1730002 (2017) arXiv:1609.04759
T. Chupp, P. Fierlinger, M. Ramsey-Musolf, J. Singh, Rev. Mod. Phys. 91, 015001 (2019) arXiv:1710.02504
R.J. Hill, EPJ Web of Conferences 137, 01023 (2017) arXiv:1702.01189
J.W. Chen, W. Detmold, Phys. Lett. B 625, 165 (2005) arXiv:hep-ph/0412119
J.W. Chen, W. Detmold, J.E. Lynn, A. Schwenk, Phys. Rev. Lett. 119, 262502 (2017) arXiv:1607.03065
O. Hen, G.A. Miller, E. Piasetzky, L.B. Weinstein, Rev. Mod. Phys. 89, 045002 (2017) arXiv:1611.09748
J.M. Lattimer, M. Prakash, Astrophys. J. 550, 426 (2001) arXiv:astro-ph/0002232
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. Lett. 109, 172001 (2012) arXiv:1204.3606
LIGO Scientific, Virgo Collaborations (B. Abbott et al.), Phys. Rev. Lett. 119, 161101 (2017) arXiv:1710.05832
LIGO Scientific, Virgo, Fermi GBM, INTEGRAL, IceCube, AstroSat Cadmium Zinc Telluride Imager Team, IPN, Insight-Hxmt, ANTARES, Swift, AGILE Team, 1M2H Team, Dark Energy Camera GW-EM, DES, DLT40, GRAWITA, Fermi-LAT, ATCA, ASKAP, Las Cumbres Observatory Group, OzGrav, DWF (Deeper Wider Faster Program), AST3, CAASTRO, VINROUGE, MASTER, J-GEM, GROWTH, JAGWAR, CaltechNRAO, TTU-NRAO, NuSTAR, Pan-STARRS, MAXI Team, TZAC Consortium, KU, Nordic Optical Telescope, ePESSTO, GROND, Texas Tech University, SALT Group, TOROS, BOOTES, MWA, CALET, IKI-GW Follow-up, H.E.S.S., LOFAR, LWA, HAWC, Pierre Auger, ALMA, Euro VLBI Team, Pi of Sky, Chandra Team at McGill University, DFN, ATLAS Telescopes, High Time Resolution Universe Survey, RIMAS, RATIR, SKA South Africa/MeerKAT Collaborations (B.P. Abbott et al.), Astrophys. J. 848, L12 (2017) arXiv:1710.05833
F. Ozel, D. Psaltis, Z. Arzoumanian, S. Morsink, M. Baubock, Astrophys. J. 832, 92 (2016) arXiv:1512.03067
S.R. Beane, M.J. Savage, Phys. Rev. D 90, 074511 (2014) arXiv:1407.4846
S.R. Beane, W. Detmold, M.J. Savage, Phys. Rev. D 76, 074507 (2007) arXiv:0707.1670
W. Detmold, M.J. Savage, Phys. Rev. D 77, 057502 (2008) arXiv:0801.0763
S. Tan, Phys. Rev. A 78, 013636 (2008) arXiv:0709.2530
S. Kreuzer, H.W. Hammer, Phys. Lett. B 694, 424 (2011) arXiv:1008.4499
R.A. Briceño, Z. Davoudi, Phys. Rev. D 87, 094507 (2013) arXiv:1212.3398
W. Detmold, PoS ConfinementX, 016 (2012)
W. Detmold, Eur. Phys. J. A 49, 83 (2013)
W. Detmold, Lect. Notes Phys. 889, 153 (2015)
J. Kirscher, Int. J. Mod. Phys. E 25, 1641001 (2016) arXiv:1509.07697
Z. Davoudi, EPJ Web of Conferences 175, 01022 (2018) arXiv:1711.02020
M.J. Savage, PoS LATTICE2016, 021 (2016) arXiv:1611.02078
N. Barnea, L. Contessi, D. Gazit, F. Pederiva, U. van Kolck, Phys. Rev. Lett. 114, 052501 (2015) arXiv:1311.4966
A. Bansal, S. Binder, A. Ekström, G. Hagen, G.R. Jansen, T. Papenbrock, Phys. Rev. C 98, 054301 (2018) arXiv:1712.10246
L. Contessi, A. Lovato, F. Pederiva, A. Roggero, J. Kirscher, U. van Kolck, Phys. Lett. B 772, 839 (2017) arXiv:1701.06516
S. Gandolfi, J. Carlson, A. Roggero, J. Lynn, S. Reddy, Phys. Lett. B 785, 232 (2018) arXiv:1712.10236
J. Kirscher, E. Pazy, J. Drachman, N. Barnea, Phys. Rev. C 96, 024001 (2017) arXiv:1702.07268
T.A. Lähde, U.G. Meißner, Lect. Notes Phys. 957, 1 (2019)
T.A. Lähde, U.G. Meißner, E. Epelbaum, arXiv:1906.00607 (2019)
A. Nicholson et al., Phys. Rev. Lett. 121, 172501 (2018) arXiv:1805.02634
X. Feng, L.C. Jin, X.Y. Tuo, S.C. Xia, Phys. Rev. Lett. 122, 022001 (2019) arXiv:1809.10511
W. Detmold, D. Murphy, PoS LATTICE2018, 262 (2019) arXiv:1811.05554
Intensity Frontier Charged Lepton Working Group (J. Albrecht), Working Group Report: Charged Leptons, 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:1311.5278
S. Dell’Oro, S. Marcocci, M. Viel, F. Vissani, Adv. High Energy Phys. 2016, 2162659 (2016) arXiv:1601.07512
J. Engel, J. Menendez, Rep. Prog. Phys. 80, 046301 (2017) arXiv:1610.06548
A. Antognini et al., Science 339, 417 (2013)
M.A. Belushkin, H.W. Hammer, U.G. Meissner, Phys. Rev. C 75, 035202 (2007) arXiv:hep-ph/0608337
M. Hoferichter, B. Kubis, J. Ruiz de Elvira, H.W. Hammer, U.G. Meißner, Eur. Phys. J. A 52, 331 (2016) arXiv:1609.06722
J.M. Alarcón, C. Weiss, Phys. Lett. B 784, 373 (2018) arXiv:1803.09748
C. Bouchard, C.C. Chang, K. Orginos, D. Richards, PoS LATTICE2016, 170 (2016) arXiv:1610.02354
M. Burkardt, Int. J. Mod. Phys. A 18, 173 (2003) arXiv:hep-ph/0207047
G.A. Miller, Phys. Rev. Lett. 99, 112001 (2007) arXiv:0705.2409
C.E. Carlson, M. Vanderhaeghen, Phys. Rev. Lett. 100, 032004 (2008) arXiv:0710.0835
R. Hofstadter, R.W. McAllister, Phys. Rev. 98, 217 (1955)
E.E. Chambers, R. Hofstadter, Phys. Rev. 103, 1454 (1956)
G.S. Bali, B. Lang, B.U. Musch, A. Schäfer, Phys. Rev. D 93, 094515 (2016) arXiv:1602.05525
S. Syritsyn, A.S. Gambhir, B. Musch, K. Orginos, PoS LATTICE2016, 176 (2017)
A. Baroni, R.A. Briceño, M.T. Hansen, F.G. Ortega-Gama, Phys. Rev. D 100, 034511 (2019) arXiv:1812.10504
C. Michael, Nucl. Phys. B 259, 58 (1985)
P. Vachaspati, W. Detmold, PoS LATTICE2014, 041 (2014) arXiv:1411.3691
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USQCD Collaboration., Detmold, W., Edwards, R.G. et al. Hadrons and nuclei. Eur. Phys. J. A 55, 193 (2019). https://doi.org/10.1140/epja/i2019-12902-4
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DOI: https://doi.org/10.1140/epja/i2019-12902-4