Standard

The anomalous magnetic moment of the muon in the Standard Model. / Aoyama, T.; Asmussen, N.; Benayoun, M. et al.

In: Physics Reports, Vol. 887, 03.12.2020, p. 1-166.

Research output: Contribution to journal › Review article › peer-review

Harvard

Aoyama, T, Asmussen, N, Benayoun, M, Bijnens, J, Blum, T, Bruno, M, Caprini, I, Carloni Calame, CM, Cè, M, Colangelo, G, Curciarello, F, Czyż, H, Danilkin, I, Davier, M, Davies, CTH, Della Morte, M, Eidelman, SI, El-Khadra, AX, Gérardin, A, Giusti, D, Golterman, M, Gottlieb, S, Gülpers, V, Hagelstein, F, Hayakawa, M, Herdoíza, G, Hertzog, DW, Hoecker, A, Hoferichter, M, Hoid, BL, Hudspith, RJ, Ignatov, F, Izubuchi, T, Jegerlehner, F, Jin, L, Keshavarzi, A, Kinoshita, T, Kubis, B, Kupich, A, Kupść, A, Laub, L, Lehner, C, Lellouch, L, Logashenko, I, Malaescu, B, Maltman, K, Marinković, MK, Masjuan, P, Meyer, AS, Meyer, HB, Mibe, T, Miura, K, Müller, SE, Nio, M, Nomura, D, Nyffeler, A, Pascalutsa, V, Passera, M, Perez del Rio, E, Peris, S, Portelli, A, Procura, M, Redmer, CF, Roberts, BL, Sánchez-Puertas, P, Serednyakov, S, Shwartz, B, Simula, S, Stöckinger, D, Stöckinger-Kim, H, Stoffer, P, Teubner, T, Van de Water, R, Vanderhaeghen, M, Venanzoni, G, von Hippel, G, Wittig, H, Zhang, Z, Achasov, MN, Bashir, A, Cardoso, N, Chakraborty, B, Chao, EH, Charles, J, Crivellin, A, Deineka, O, Denig, A, DeTar, C, Dominguez, CA, Dorokhov, AE, Druzhinin, VP, Eichmann, G, Fael, M, Fischer, CS, Gámiz, E, Gelzer, Z, Green, JR, Guellati-Khelifa, S, Hatton, D, Hermansson-Truedsson, N, Holz, S, Hörz, B, Knecht, M, Koponen, J, Kronfeld, AS, Laiho, J, Leupold, S, Mackenzie, PB, Marciano, WJ, McNeile, C, Mohler, D, Monnard, J, Neil, ET, Nesterenko, AV, Ottnad, K, Pauk, V, Radzhabov, AE, de Rafael, E, Raya, K, Risch, A, Rodríguez-Sánchez, A, Roig, P, San José, T, Solodov, EP, Sugar, R, Todyshev, KY, Vainshtein, A, Vaquero Avilés-Casco, A, Weil, E, Wilhelm, J, Williams, R & Zhevlakov, AS 2020, 'The anomalous magnetic moment of the muon in the Standard Model', Physics Reports, vol. 887, pp. 1-166. https://doi.org/10.1016/j.physrep.2020.07.006

APA

Aoyama, T., Asmussen, N., Benayoun, M., Bijnens, J., Blum, T., Bruno, M., Caprini, I., Carloni Calame, C. M., Cè, M., Colangelo, G., Curciarello, F., Czyż, H., Danilkin, I., Davier, M., Davies, C. T. H., Della Morte, M., Eidelman, S. I., El-Khadra, A. X., Gérardin, A., ... Zhevlakov, A. S. (2020). The anomalous magnetic moment of the muon in the Standard Model. Physics Reports, 887, 1-166. https://doi.org/10.1016/j.physrep.2020.07.006

Vancouver

Aoyama T, Asmussen N, Benayoun M, Bijnens J, Blum T, Bruno M et al. The anomalous magnetic moment of the muon in the Standard Model. Physics Reports. 2020 Dec 3;887:1-166. doi: 10.1016/j.physrep.2020.07.006

Author

Aoyama, T. ; Asmussen, N. ; Benayoun, M. et al. / The anomalous magnetic moment of the muon in the Standard Model. In: Physics Reports. 2020 ; Vol. 887. pp. 1-166.

BibTeX

@article{cd46ea5da71c4ae7ab4c909c313af13d,
title = "The anomalous magnetic moment of the muon in the Standard Model",
abstract = "We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant α and is broken down into pure QED, electroweak, and hadronic contributions. The pure QED contribution is by far the largest and has been evaluated up to and including O(α5) with negligible numerical uncertainty. The electroweak contribution is suppressed by (mμ∕MW)2 and only shows up at the level of the seventh significant digit. It has been evaluated up to two loops and is known to better than one percent. Hadronic contributions are the most difficult to calculate and are responsible for almost all of the theoretical uncertainty. The leading hadronic contribution appears at O(α2) and is due to hadronic vacuum polarization, whereas at O(α3) the hadronic light-by-light scattering contribution appears. Given the low characteristic scale of this observable, these contributions have to be calculated with nonperturbative methods, in particular, dispersion relations and the lattice approach to QCD. The largest part of this review is dedicated to a detailed account of recent efforts to improve the calculation of these two contributions with either a data-driven, dispersive approach, or a first-principle, lattice-QCD approach. The final result reads aμSM=116591810(43)×10−11 and is smaller than the Brookhaven measurement by 3.7σ. The experimental uncertainty will soon be reduced by up to a factor four by the new experiment currently running at Fermilab, and also by the future J-PARC experiment. This and the prospects to further reduce the theoretical uncertainty in the near future – which are also discussed here – make this quantity one of the most promising places to look for evidence of new physics.",
keywords = "PION FORM-FACTOR, 6TH-ORDER RADIATIVE-CORRECTIONS, HADRONIC CROSS-SECTION, BY-LIGHT CONTRIBUTION, VACUUM POLARIZATION INSERTIONS, FINE-STRUCTURE CONSTANT, VIRTUALITY 2-PHOTON INTERACTIONS, PHOTON SCATTERING CONTRIBUTION, MONTE-CARLO GENERATOR, RANGE 600-1380 MEV",
author = "T. Aoyama and N. Asmussen and M. Benayoun and J. Bijnens and T. Blum and M. Bruno and I. Caprini and {Carloni Calame}, {C. M.} and M. C{\`e} and G. Colangelo and F. Curciarello and H. Czy{\.z} and I. Danilkin and M. Davier and Davies, {C. T.H.} and {Della Morte}, M. and Eidelman, {S. I.} and El-Khadra, {A. X.} and A. G{\'e}rardin and D. Giusti and M. Golterman and Steven Gottlieb and V. G{\"u}lpers and F. Hagelstein and M. Hayakawa and G. Herdo{\'i}za and Hertzog, {D. W.} and A. Hoecker and M. Hoferichter and Hoid, {B. L.} and Hudspith, {R. J.} and F. Ignatov and T. Izubuchi and F. Jegerlehner and L. Jin and A. Keshavarzi and T. Kinoshita and B. Kubis and A. Kupich and A. Kup{\'s}{\'c} and L. Laub and C. Lehner and L. Lellouch and I. Logashenko and B. Malaescu and K. Maltman and Marinkovi{\'c}, {M. K.} and P. Masjuan and Meyer, {A. S.} and Meyer, {H. B.} and T. Mibe and K. Miura and M{\"u}ller, {S. E.} and M. Nio and D. Nomura and A. Nyffeler and V. Pascalutsa and M. Passera and {Perez del Rio}, E. and S. Peris and A. Portelli and M. Procura and Redmer, {C. F.} and Roberts, {B. L.} and P. S{\'a}nchez-Puertas and S. Serednyakov and B. Shwartz and S. Simula and D. St{\"o}ckinger and H. St{\"o}ckinger-Kim and P. Stoffer and T. Teubner and {Van de Water}, R. and M. Vanderhaeghen and G. Venanzoni and {von Hippel}, G. and H. Wittig and Z. Zhang and Achasov, {M. N.} and A. Bashir and N. Cardoso and B. Chakraborty and Chao, {E. H.} and J. Charles and A. Crivellin and O. Deineka and A. Denig and C. DeTar and Dominguez, {C. A.} and Dorokhov, {A. E.} and Druzhinin, {V. P.} and G. Eichmann and M. Fael and Fischer, {C. S.} and E. G{\'a}miz and Z. Gelzer and Green, {J. R.} and S. Guellati-Khelifa and D. Hatton and N. Hermansson-Truedsson and S. Holz and B. H{\"o}rz and M. Knecht and J. Koponen and Kronfeld, {A. S.} and J. Laiho and S. Leupold and Mackenzie, {P. B.} and Marciano, {W. J.} and C. McNeile and D. Mohler and J. Monnard and Neil, {E. T.} and Nesterenko, {A. V.} and K. Ottnad and V. Pauk and Radzhabov, {A. E.} and {de Rafael}, E. and K. Raya and A. Risch and A. Rodr{\'i}guez-S{\'a}nchez and P. Roig and {San Jos{\'e}}, T. and Solodov, {E. P.} and R. Sugar and Todyshev, {K. Yu} and A. Vainshtein and {Vaquero Avil{\'e}s-Casco}, A. and E. Weil and J. Wilhelm and R. Williams and Zhevlakov, {A. S.}",
note = "Funding Information: We are very grateful to the Fermilab Directorate and the Fermilab Theoretical Physics Department for their financial and logistical support of the first workshop of the Muon Theory Initiative (held near Fermilab in June 2017) [123] , which was crucial for its success, and indeed for the successful start of the Initiative. Financial support for this workshop was also provided by the Fermilab Distinguished Scholars program, the Universities Research Association through a URA Visiting Scholar award, the Riken Brookhaven Research Center , and the Japan Society for the Promotion of Science under Grant No. KAKEHNHI-17H02906 . We thank Shoji Hashimoto, Toru Iijima, Takashi Kaneko, and Shohei Nishida for hosting the HVP workshop at KEK [124] and the KEK Theory Center and the U.S.–Japan Science and Technology Cooperation Program in High Energy Physics for providing logistical and financial support. The HLbL workshop at the University of Connecticut [125] was hosted by the University of Connecticut Physics Department. We also gratefully acknowledge support for the second plenary workshop in Mainz [126] from the Deutsche Forschungsgemeinschaft via the Cluster of Excellence “Precision Physics, Fundamental Interactions and Structure of Matter” (PRISMA), the Collaborative Research Centre “The low-energy frontier of the Standard Model” (SFB 1044), as well as the Helmholtz Institute Mainz. And finally, we thank the Institute for Nuclear Theory at the University of Washington for hosting the third plenary workshop [127] and for its kind hospitality and stimulating research environment. This workshop was supported in part by the U.S. Department of Energy, Office of Science, under Award Nos. DE-FG02-00ER41132, DE-SC0020106, and by the U.S.–Japan Science and Technology Cooperation Program in High Energy Physics. This review benefited from discussions with O. Cat{\`a}, N. Christ, L.Y. Dai, H. Davoudiasl, S. Fayer, S. Ganguly, A. Gasparian, S. Hashimoto, T. Iijima, K. Kampf, D. Kawall, I. Larin, Z. Pagel, M. Petschlies, A. Rebhan, K. Schilcher, K. Shimomura, E. Shintani, D. Steffen, S. Tracz, C. Tu, and T. Yamazaki. Funding Information: The work in this paper was supported by CNRS , by Conacyt (Ciencia B{\'a}sica 2015) under Grant No. 250628 , by CONACyT-Mexico under Grant No. CB2014-22117 , by Coordinaci{\'o}n de la Investigaci{\'o}n Cient{\'i}fica (CIC-UMSNH) under Grant No. 4.10 , by Danmarks Frie Forskningsfond under Grant No. 8021-00122B , by Deutsche Forschungsgemeinschaft Collaborative Research Centers CRC 1044 , CRC 1044 -204404729 , CRC 110 , and under Grant No. HI 2048/1-1, Prisma Cluster for Excellence PRISMA EXC2118/1, STO/876/6-1, by European Research Council under the European Union{\textquoteright}s Horizon 2020 research and innovation programme under Grant Agreement Nos. 668679 , 757646 , 771971-SIMDAMA , 813942 , by the European Union H2020-MSCA-COFUND2016 under Grant No. 754510 , by the European Union{\textquoteright}s Horizon 2020 research and innovation programme under the Marie Sk{\l}odowska-Curie Grant Agreement No. 843134, by European Union EuroPLEx Grant H2020-MSCA-ITN-2018-813942 , by European Union STRONG 2020 project under Grant Agreement No. 824093, by the Excellence Initiative of Aix-Marseille University - A*MIDEX, a French “Investissements d{\textquoteright}Avenir” program, through the Chaire d{\textquoteright}Excellence program and the OCEVU Laboratoire d{\textquoteright}Excellence (ANR-11-LABX-0060), by the Fermilab Distinguished Scholars program, by Fondo SEP-Cinvestav under Grant No. 142 , Funda{\c c}{\~a}o para a Ci{\^e}ncia e a Tecnologia under Grant No. SFRH/BPD/109443/2015 , by Generalitat de Catalunya under Grant No. 2017SGR1069 , by the Helmholtz Association (German Federal Ministry of Education and Research), by the Helmholtz-Institut Mainz, by the Istituto Nazionale di Fisica Nucleare (INFN), by the Isaac Newton Trust, by the Japan Society for the Promotion of Science under Grant Nos. KAKENHI-15H05742 , 16K05317 , 16K05323 , 16K05338 , 17H01133 , 17H02906 , 18H05226 , 19K21872 , 20K03926 , 20K03960 , by Junta de Andaluc{\'i}a under Grant No. A-FQM-467-UGR18 , by KEK, by Ministerio de Ciencia e Innovacion under Grant No. CICYTFEDER-FPA2017-86989-P , by Ministerio de Industria, Econom{\'i}a y Competitividad under Grant Nos. FPA2016-78220-C3-3-P , FPA2017-86989-P , PGC2018-094857-B-I00 , SEV-2016-0588 , SEV-2016-0597 , by Laboratoires d{\textquoteright}Excellence FIRST-TF grants, a French “Investissements d{\textquoteright}Avenir” program, by the Ministry of Science and Higher Education of the Russian Federation under Grant Agreement No. 14.W03.31.0026 , by the National Research Foundation of South Africa , by the Natural Sciences and Engineering Research Council of Canada , by the Portuguese Science Foundation (FCT) Investigator Grant IF/00898/2015 , by the Romanian Ministry of Education and Research under Grant No. PN19060101 , by the Russian Science Foundation under Grant No. RSF 18-12-00128 , by the Secretaria d{\textquoteright}Universitats i Recerca del Departament d{\textquoteright}Economia i Coneixement de la Generalitat de Catalunya under Grant No. 2017 SGR 1069 , by the Swedish Research Council under Grant Nos. 2016-05996 , 2019-03779 , by the Swiss National Science Foundation under Grant Nos. PP00P2_176884 , PCEFP2_181117 , by The Leverhulme Trust under Grant No. ECF-2019-223 , by the UK Science and Technology Facilities Council (STFC) under Grant Nos. ST/N504130/1 , ST/P000290/1 , ST/P00055X/1 , ST/P000630/1 , ST/P000711/1 , ST/P000746/1 , ST/S000879/1 , ST/S000925/1 , by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award Nos. DE-SC0009919, DE-SC0009998, DE-SC0010005, DE-SC0010120, DE-SC0010339, DE-SC0012391, DE-SC0012704, DE-SC0013682, DE-SC0013895, DE-SC0015655, by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Award Nos. DE-AC02-05CH11231, DE-FG02-00ER41132, DE-FG02-97ER41020, by the U.S.–Japan Science and Technology Cooperation Program in High Energy Physics, “Incubation Platform for Intensity Frontier”, by the U.S. National Science Foundation under Grant Nos. NSF-PHY-1316222 , PHY14-14614 , PHY17-19626 , and PHY19-23131 , and by the U.S. National Institute of Standards and Technology (NIST) Precision Measurement Grant Program under Award No. 60NANB16D271. This manuscript has been authored by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy, Office of Science, Office of High Energy Physics. Funding Information: We are very grateful to the Fermilab Directorate and the Fermilab Theoretical Physics Department for their financial and logistical support of the first workshop of the Muon g?2 Theory Initiative (held near Fermilab in June 2017) [123], which was crucial for its success, and indeed for the successful start of the Initiative. Financial support for this workshop was also provided by the Fermilab Distinguished Scholars program, the Universities Research Association through a URA Visiting Scholar award, the Riken Brookhaven Research Center, and the Japan Society for the Promotion of Science under Grant No. KAKEHNHI-17H02906. We thank Shoji Hashimoto, Toru Iijima, Takashi Kaneko, and Shohei Nishida for hosting the HVP workshop at KEK [124] and the KEK Theory Center and the U.S.?Japan Science and Technology Cooperation Program in High Energy Physics for providing logistical and financial support. The HLbL workshop at the University of Connecticut [125] was hosted by the University of Connecticut Physics Department. We also gratefully acknowledge support for the second plenary workshop in Mainz [126] from the Deutsche Forschungsgemeinschaft via the Cluster of Excellence ?Precision Physics, Fundamental Interactions and Structure of Matter? (PRISMA), the Collaborative Research Centre ?The low-energy frontier of the Standard Model? (SFB 1044), as well as the Helmholtz Institute Mainz. And finally, we thank the Institute for Nuclear Theory at the University of Washington for hosting the third plenary workshop [127] and for its kind hospitality and stimulating research environment. This workshop was supported in part by the U.S. Department of Energy, Office of Science, under Award Nos. DE-FG02-00ER41132, DE-SC0020106, and by the U.S.?Japan Science and Technology Cooperation Program in High Energy Physics. This review benefited from discussions with O. Cat?, N. Christ, L.Y. Dai, H. Davoudiasl, S. Fayer, S. Ganguly, A. Gasparian, S. Hashimoto, T. Iijima, K. Kampf, D. Kawall, I. Larin, Z. Pagel, M. Petschlies, A. Rebhan, K. Schilcher, K. Shimomura, E. Shintani, D. Steffen, S. Tracz, C. Tu, and T. Yamazaki. The work in this paper was supported by CNRS, by Conacyt (Ciencia B?sica 2015) under Grant No. 250628, by CONACyT-Mexico under Grant No. CB2014-22117, by Coordinaci?n de la Investigaci?n Cient?fica (CIC-UMSNH) under Grant No. 4.10, by Danmarks Frie Forskningsfond under Grant No. 8021-00122B, by Deutsche Forschungsgemeinschaft Collaborative Research Centers CRC 1044, CRC 1044 -204404729, CRC 110, and under Grant No. HI 2048/1-1, Prisma Cluster for Excellence PRISMA+ EXC2118/1, STO/876/6-1, by European Research Council under the European Union's Horizon 2020 research and innovation programme under Grant Agreement Nos. 668679, 757646, 771971-SIMDAMA, 813942, by the European Union H2020-MSCA-COFUND2016 under Grant No. 754510, by the European Union's Horizon 2020 research and innovation programme under the Marie Sk?odowska-Curie Grant Agreement No. 843134, by European Union EuroPLEx GrantH2020-MSCA-ITN-2018-813942, by European Union STRONG 2020 project under Grant Agreement No. 824093, by the Excellence Initiative of Aix-Marseille University - A*MIDEX, a French ?Investissements d'Avenir? program, through the Chaire d'Excellence program and the OCEVU Laboratoire d'Excellence (ANR-11-LABX-0060), by the Fermilab Distinguished Scholars program, by Fondo SEP-Cinvestav under Grant No. 142, Funda??o para a Ci?ncia e a Tecnologia under Grant No. SFRH/BPD/109443/2015, by Generalitat de Catalunya under Grant No. 2017SGR1069, by the Helmholtz Association (German Federal Ministry of Education and Research), by the Helmholtz-Institut Mainz, by the Istituto Nazionale di Fisica Nucleare (INFN), by the Isaac Newton Trust, by the Japan Society for the Promotion of Science under Grant Nos. KAKENHI-15H05742, 16K05317, 16K05323, 16K05338, 17H01133, 17H02906, 18H05226, 19K21872, 20K03926, 20K03960, by Junta de Andaluc?a under Grant No.? A-FQM-467-UGR18, by KEK, by Ministerio de Ciencia e Innovacion under Grant No.? CICYTFEDER-FPA2017-86989-P, by Ministerio de Industria, Econom?a y Competitividad under Grant Nos. FPA2016-78220-C3-3-P, FPA2017-86989-P, PGC2018-094857-B-I00, SEV-2016-0588, SEV-2016-0597, by Laboratoires d'Excellence FIRST-TF grants, a French ?Investissements d'Avenir? program, by the Ministry of Science and Higher Education of the Russian Federation under Grant Agreement No. 14.W03.31.0026, by the National Research Foundation of South Africa, by the Natural Sciences and Engineering Research Council of Canada, by the Portuguese Science Foundation (FCT) Investigator GrantIF/00898/2015, by the Romanian Ministry of Education and Research under Grant No. PN19060101, by the Russian Science Foundation under Grant No. RSF 18-12-00128, by the Secretaria d'Universitats i Recerca del Departament d'Economia i Coneixement de la Generalitat de Catalunya under Grant No. 2017 SGR 1069, by the Swedish Research Council under Grant Nos. 2016-05996, 2019-03779, by the Swiss National Science Foundation under Grant Nos. PP00P2_176884, PCEFP2_181117, by The Leverhulme Trust under Grant No.? ECF-2019-223, by the UK Science and Technology Facilities Council (STFC) under Grant Nos. ST/N504130/1, ST/P000290/1, ST/P00055X/1, ST/P000630/1, ST/P000711/1, ST/P000746/1, ST/S000879/1, ST/S000925/1, by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award Nos. DE-SC0009919, DE-SC0009998, DE-SC0010005, DE-SC0010120, DE-SC0010339, DE-SC0012391, DE-SC0012704, DE-SC0013682, DE-SC0013895, DE-SC0015655, by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Award Nos. DE-AC02-05CH11231, DE-FG02-00ER41132, DE-FG02-97ER41020, by the U.S.?Japan Science and Technology Cooperation Program in High Energy Physics, ?Incubation Platform for Intensity Frontier?, by the U.S. National Science Foundation under Grant Nos. NSF-PHY-1316222, PHY14-14614, PHY17-19626, and PHY19-23131, and by the U.S. National Institute of Standards and Technology (NIST) Precision Measurement Grant Program under Award No.? 60NANB16D271. This manuscript has been authored by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy, Office of Science, Office of High Energy Physics. Publisher Copyright: {\textcopyright} 2020 The Authors Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = dec,
day = "3",
doi = "10.1016/j.physrep.2020.07.006",
language = "English",
volume = "887",
pages = "1--166",
journal = "Physics Reports",
issn = "0370-1573",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - The anomalous magnetic moment of the muon in the Standard Model

AU - Aoyama, T.

AU - Asmussen, N.

AU - Benayoun, M.

AU - Bijnens, J.

AU - Blum, T.

AU - Bruno, M.

AU - Caprini, I.

AU - Carloni Calame, C. M.

AU - Cè, M.

AU - Colangelo, G.

AU - Curciarello, F.

AU - Czyż, H.

AU - Danilkin, I.

AU - Davier, M.

AU - Davies, C. T.H.

AU - Della Morte, M.

AU - Eidelman, S. I.

AU - El-Khadra, A. X.

AU - Gérardin, A.

AU - Giusti, D.

AU - Golterman, M.

AU - Gottlieb, Steven

AU - Gülpers, V.

AU - Hagelstein, F.

AU - Hayakawa, M.

AU - Herdoíza, G.

AU - Hertzog, D. W.

AU - Hoecker, A.

AU - Hoferichter, M.

AU - Hoid, B. L.

AU - Hudspith, R. J.

AU - Ignatov, F.

AU - Izubuchi, T.

AU - Jegerlehner, F.

AU - Jin, L.

AU - Keshavarzi, A.

AU - Kinoshita, T.

AU - Kubis, B.

AU - Kupich, A.

AU - Kupść, A.

AU - Laub, L.

AU - Lehner, C.

AU - Lellouch, L.

AU - Logashenko, I.

AU - Malaescu, B.

AU - Maltman, K.

AU - Marinković, M. K.

AU - Masjuan, P.

AU - Meyer, A. S.

AU - Meyer, H. B.

AU - Mibe, T.

AU - Miura, K.

AU - Müller, S. E.

AU - Nio, M.

AU - Nomura, D.

AU - Nyffeler, A.

AU - Pascalutsa, V.

AU - Passera, M.

AU - Perez del Rio, E.

AU - Peris, S.

AU - Portelli, A.

AU - Procura, M.

AU - Redmer, C. F.

AU - Roberts, B. L.

AU - Sánchez-Puertas, P.

AU - Serednyakov, S.

AU - Shwartz, B.

AU - Simula, S.

AU - Stöckinger, D.

AU - Stöckinger-Kim, H.

AU - Stoffer, P.

AU - Teubner, T.

AU - Van de Water, R.

AU - Vanderhaeghen, M.

AU - Venanzoni, G.

AU - von Hippel, G.

AU - Wittig, H.

AU - Zhang, Z.

AU - Achasov, M. N.

AU - Bashir, A.

AU - Cardoso, N.

AU - Chakraborty, B.

AU - Chao, E. H.

AU - Charles, J.

AU - Crivellin, A.

AU - Deineka, O.

AU - Denig, A.

AU - DeTar, C.

AU - Dominguez, C. A.

AU - Dorokhov, A. E.

AU - Druzhinin, V. P.

AU - Eichmann, G.

AU - Fael, M.

AU - Fischer, C. S.

AU - Gámiz, E.

AU - Gelzer, Z.

AU - Green, J. R.

AU - Guellati-Khelifa, S.

AU - Hatton, D.

AU - Hermansson-Truedsson, N.

AU - Holz, S.

AU - Hörz, B.

AU - Knecht, M.

AU - Koponen, J.

AU - Kronfeld, A. S.

AU - Laiho, J.

AU - Leupold, S.

AU - Mackenzie, P. B.

AU - Marciano, W. J.

AU - McNeile, C.

AU - Mohler, D.

AU - Monnard, J.

AU - Neil, E. T.

AU - Nesterenko, A. V.

AU - Ottnad, K.

AU - Pauk, V.

AU - Radzhabov, A. E.

AU - de Rafael, E.

AU - Raya, K.

AU - Risch, A.

AU - Rodríguez-Sánchez, A.

AU - Roig, P.

AU - San José, T.

AU - Solodov, E. P.

AU - Sugar, R.

AU - Todyshev, K. Yu

AU - Vainshtein, A.

AU - Vaquero Avilés-Casco, A.

AU - Weil, E.

AU - Wilhelm, J.

AU - Williams, R.

AU - Zhevlakov, A. S.

N1 - Funding Information: We are very grateful to the Fermilab Directorate and the Fermilab Theoretical Physics Department for their financial and logistical support of the first workshop of the Muon Theory Initiative (held near Fermilab in June 2017) [123] , which was crucial for its success, and indeed for the successful start of the Initiative. Financial support for this workshop was also provided by the Fermilab Distinguished Scholars program, the Universities Research Association through a URA Visiting Scholar award, the Riken Brookhaven Research Center , and the Japan Society for the Promotion of Science under Grant No. KAKEHNHI-17H02906 . We thank Shoji Hashimoto, Toru Iijima, Takashi Kaneko, and Shohei Nishida for hosting the HVP workshop at KEK [124] and the KEK Theory Center and the U.S.–Japan Science and Technology Cooperation Program in High Energy Physics for providing logistical and financial support. The HLbL workshop at the University of Connecticut [125] was hosted by the University of Connecticut Physics Department. We also gratefully acknowledge support for the second plenary workshop in Mainz [126] from the Deutsche Forschungsgemeinschaft via the Cluster of Excellence “Precision Physics, Fundamental Interactions and Structure of Matter” (PRISMA), the Collaborative Research Centre “The low-energy frontier of the Standard Model” (SFB 1044), as well as the Helmholtz Institute Mainz. And finally, we thank the Institute for Nuclear Theory at the University of Washington for hosting the third plenary workshop [127] and for its kind hospitality and stimulating research environment. This workshop was supported in part by the U.S. Department of Energy, Office of Science, under Award Nos. DE-FG02-00ER41132, DE-SC0020106, and by the U.S.–Japan Science and Technology Cooperation Program in High Energy Physics. This review benefited from discussions with O. Catà, N. Christ, L.Y. Dai, H. Davoudiasl, S. Fayer, S. Ganguly, A. Gasparian, S. Hashimoto, T. Iijima, K. Kampf, D. Kawall, I. Larin, Z. Pagel, M. Petschlies, A. Rebhan, K. Schilcher, K. Shimomura, E. Shintani, D. Steffen, S. Tracz, C. Tu, and T. Yamazaki. Funding Information: The work in this paper was supported by CNRS , by Conacyt (Ciencia Básica 2015) under Grant No. 250628 , by CONACyT-Mexico under Grant No. CB2014-22117 , by Coordinación de la Investigación Científica (CIC-UMSNH) under Grant No. 4.10 , by Danmarks Frie Forskningsfond under Grant No. 8021-00122B , by Deutsche Forschungsgemeinschaft Collaborative Research Centers CRC 1044 , CRC 1044 -204404729 , CRC 110 , and under Grant No. HI 2048/1-1, Prisma Cluster for Excellence PRISMA EXC2118/1, STO/876/6-1, by European Research Council under the European Union’s Horizon 2020 research and innovation programme under Grant Agreement Nos. 668679 , 757646 , 771971-SIMDAMA , 813942 , by the European Union H2020-MSCA-COFUND2016 under Grant No. 754510 , by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 843134, by European Union EuroPLEx Grant H2020-MSCA-ITN-2018-813942 , by European Union STRONG 2020 project under Grant Agreement No. 824093, by the Excellence Initiative of Aix-Marseille University - A*MIDEX, a French “Investissements d’Avenir” program, through the Chaire d’Excellence program and the OCEVU Laboratoire d’Excellence (ANR-11-LABX-0060), by the Fermilab Distinguished Scholars program, by Fondo SEP-Cinvestav under Grant No. 142 , Fundação para a Ciência e a Tecnologia under Grant No. SFRH/BPD/109443/2015 , by Generalitat de Catalunya under Grant No. 2017SGR1069 , by the Helmholtz Association (German Federal Ministry of Education and Research), by the Helmholtz-Institut Mainz, by the Istituto Nazionale di Fisica Nucleare (INFN), by the Isaac Newton Trust, by the Japan Society for the Promotion of Science under Grant Nos. KAKENHI-15H05742 , 16K05317 , 16K05323 , 16K05338 , 17H01133 , 17H02906 , 18H05226 , 19K21872 , 20K03926 , 20K03960 , by Junta de Andalucía under Grant No. A-FQM-467-UGR18 , by KEK, by Ministerio de Ciencia e Innovacion under Grant No. CICYTFEDER-FPA2017-86989-P , by Ministerio de Industria, Economía y Competitividad under Grant Nos. FPA2016-78220-C3-3-P , FPA2017-86989-P , PGC2018-094857-B-I00 , SEV-2016-0588 , SEV-2016-0597 , by Laboratoires d’Excellence FIRST-TF grants, a French “Investissements d’Avenir” program, by the Ministry of Science and Higher Education of the Russian Federation under Grant Agreement No. 14.W03.31.0026 , by the National Research Foundation of South Africa , by the Natural Sciences and Engineering Research Council of Canada , by the Portuguese Science Foundation (FCT) Investigator Grant IF/00898/2015 , by the Romanian Ministry of Education and Research under Grant No. PN19060101 , by the Russian Science Foundation under Grant No. RSF 18-12-00128 , by the Secretaria d’Universitats i Recerca del Departament d’Economia i Coneixement de la Generalitat de Catalunya under Grant No. 2017 SGR 1069 , by the Swedish Research Council under Grant Nos. 2016-05996 , 2019-03779 , by the Swiss National Science Foundation under Grant Nos. PP00P2_176884 , PCEFP2_181117 , by The Leverhulme Trust under Grant No. ECF-2019-223 , by the UK Science and Technology Facilities Council (STFC) under Grant Nos. ST/N504130/1 , ST/P000290/1 , ST/P00055X/1 , ST/P000630/1 , ST/P000711/1 , ST/P000746/1 , ST/S000879/1 , ST/S000925/1 , by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award Nos. DE-SC0009919, DE-SC0009998, DE-SC0010005, DE-SC0010120, DE-SC0010339, DE-SC0012391, DE-SC0012704, DE-SC0013682, DE-SC0013895, DE-SC0015655, by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Award Nos. DE-AC02-05CH11231, DE-FG02-00ER41132, DE-FG02-97ER41020, by the U.S.–Japan Science and Technology Cooperation Program in High Energy Physics, “Incubation Platform for Intensity Frontier”, by the U.S. National Science Foundation under Grant Nos. NSF-PHY-1316222 , PHY14-14614 , PHY17-19626 , and PHY19-23131 , and by the U.S. National Institute of Standards and Technology (NIST) Precision Measurement Grant Program under Award No. 60NANB16D271. This manuscript has been authored by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy, Office of Science, Office of High Energy Physics. Funding Information: We are very grateful to the Fermilab Directorate and the Fermilab Theoretical Physics Department for their financial and logistical support of the first workshop of the Muon g?2 Theory Initiative (held near Fermilab in June 2017) [123], which was crucial for its success, and indeed for the successful start of the Initiative. Financial support for this workshop was also provided by the Fermilab Distinguished Scholars program, the Universities Research Association through a URA Visiting Scholar award, the Riken Brookhaven Research Center, and the Japan Society for the Promotion of Science under Grant No. KAKEHNHI-17H02906. We thank Shoji Hashimoto, Toru Iijima, Takashi Kaneko, and Shohei Nishida for hosting the HVP workshop at KEK [124] and the KEK Theory Center and the U.S.?Japan Science and Technology Cooperation Program in High Energy Physics for providing logistical and financial support. The HLbL workshop at the University of Connecticut [125] was hosted by the University of Connecticut Physics Department. We also gratefully acknowledge support for the second plenary workshop in Mainz [126] from the Deutsche Forschungsgemeinschaft via the Cluster of Excellence ?Precision Physics, Fundamental Interactions and Structure of Matter? (PRISMA), the Collaborative Research Centre ?The low-energy frontier of the Standard Model? (SFB 1044), as well as the Helmholtz Institute Mainz. And finally, we thank the Institute for Nuclear Theory at the University of Washington for hosting the third plenary workshop [127] and for its kind hospitality and stimulating research environment. This workshop was supported in part by the U.S. Department of Energy, Office of Science, under Award Nos. DE-FG02-00ER41132, DE-SC0020106, and by the U.S.?Japan Science and Technology Cooperation Program in High Energy Physics. This review benefited from discussions with O. Cat?, N. Christ, L.Y. Dai, H. Davoudiasl, S. Fayer, S. Ganguly, A. Gasparian, S. Hashimoto, T. Iijima, K. Kampf, D. Kawall, I. Larin, Z. Pagel, M. Petschlies, A. Rebhan, K. Schilcher, K. Shimomura, E. Shintani, D. Steffen, S. Tracz, C. Tu, and T. Yamazaki. The work in this paper was supported by CNRS, by Conacyt (Ciencia B?sica 2015) under Grant No. 250628, by CONACyT-Mexico under Grant No. CB2014-22117, by Coordinaci?n de la Investigaci?n Cient?fica (CIC-UMSNH) under Grant No. 4.10, by Danmarks Frie Forskningsfond under Grant No. 8021-00122B, by Deutsche Forschungsgemeinschaft Collaborative Research Centers CRC 1044, CRC 1044 -204404729, CRC 110, and under Grant No. HI 2048/1-1, Prisma Cluster for Excellence PRISMA+ EXC2118/1, STO/876/6-1, by European Research Council under the European Union's Horizon 2020 research and innovation programme under Grant Agreement Nos. 668679, 757646, 771971-SIMDAMA, 813942, by the European Union H2020-MSCA-COFUND2016 under Grant No. 754510, by the European Union's Horizon 2020 research and innovation programme under the Marie Sk?odowska-Curie Grant Agreement No. 843134, by European Union EuroPLEx GrantH2020-MSCA-ITN-2018-813942, by European Union STRONG 2020 project under Grant Agreement No. 824093, by the Excellence Initiative of Aix-Marseille University - A*MIDEX, a French ?Investissements d'Avenir? program, through the Chaire d'Excellence program and the OCEVU Laboratoire d'Excellence (ANR-11-LABX-0060), by the Fermilab Distinguished Scholars program, by Fondo SEP-Cinvestav under Grant No. 142, Funda??o para a Ci?ncia e a Tecnologia under Grant No. SFRH/BPD/109443/2015, by Generalitat de Catalunya under Grant No. 2017SGR1069, by the Helmholtz Association (German Federal Ministry of Education and Research), by the Helmholtz-Institut Mainz, by the Istituto Nazionale di Fisica Nucleare (INFN), by the Isaac Newton Trust, by the Japan Society for the Promotion of Science under Grant Nos. KAKENHI-15H05742, 16K05317, 16K05323, 16K05338, 17H01133, 17H02906, 18H05226, 19K21872, 20K03926, 20K03960, by Junta de Andaluc?a under Grant No.? A-FQM-467-UGR18, by KEK, by Ministerio de Ciencia e Innovacion under Grant No.? CICYTFEDER-FPA2017-86989-P, by Ministerio de Industria, Econom?a y Competitividad under Grant Nos. FPA2016-78220-C3-3-P, FPA2017-86989-P, PGC2018-094857-B-I00, SEV-2016-0588, SEV-2016-0597, by Laboratoires d'Excellence FIRST-TF grants, a French ?Investissements d'Avenir? program, by the Ministry of Science and Higher Education of the Russian Federation under Grant Agreement No. 14.W03.31.0026, by the National Research Foundation of South Africa, by the Natural Sciences and Engineering Research Council of Canada, by the Portuguese Science Foundation (FCT) Investigator GrantIF/00898/2015, by the Romanian Ministry of Education and Research under Grant No. PN19060101, by the Russian Science Foundation under Grant No. RSF 18-12-00128, by the Secretaria d'Universitats i Recerca del Departament d'Economia i Coneixement de la Generalitat de Catalunya under Grant No. 2017 SGR 1069, by the Swedish Research Council under Grant Nos. 2016-05996, 2019-03779, by the Swiss National Science Foundation under Grant Nos. PP00P2_176884, PCEFP2_181117, by The Leverhulme Trust under Grant No.? ECF-2019-223, by the UK Science and Technology Facilities Council (STFC) under Grant Nos. ST/N504130/1, ST/P000290/1, ST/P00055X/1, ST/P000630/1, ST/P000711/1, ST/P000746/1, ST/S000879/1, ST/S000925/1, by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award Nos. DE-SC0009919, DE-SC0009998, DE-SC0010005, DE-SC0010120, DE-SC0010339, DE-SC0012391, DE-SC0012704, DE-SC0013682, DE-SC0013895, DE-SC0015655, by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Award Nos. DE-AC02-05CH11231, DE-FG02-00ER41132, DE-FG02-97ER41020, by the U.S.?Japan Science and Technology Cooperation Program in High Energy Physics, ?Incubation Platform for Intensity Frontier?, by the U.S. National Science Foundation under Grant Nos. NSF-PHY-1316222, PHY14-14614, PHY17-19626, and PHY19-23131, and by the U.S. National Institute of Standards and Technology (NIST) Precision Measurement Grant Program under Award No.? 60NANB16D271. This manuscript has been authored by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy, Office of Science, Office of High Energy Physics. Publisher Copyright: © 2020 The Authors Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/12/3

Y1 - 2020/12/3

N2 - We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant α and is broken down into pure QED, electroweak, and hadronic contributions. The pure QED contribution is by far the largest and has been evaluated up to and including O(α5) with negligible numerical uncertainty. The electroweak contribution is suppressed by (mμ∕MW)2 and only shows up at the level of the seventh significant digit. It has been evaluated up to two loops and is known to better than one percent. Hadronic contributions are the most difficult to calculate and are responsible for almost all of the theoretical uncertainty. The leading hadronic contribution appears at O(α2) and is due to hadronic vacuum polarization, whereas at O(α3) the hadronic light-by-light scattering contribution appears. Given the low characteristic scale of this observable, these contributions have to be calculated with nonperturbative methods, in particular, dispersion relations and the lattice approach to QCD. The largest part of this review is dedicated to a detailed account of recent efforts to improve the calculation of these two contributions with either a data-driven, dispersive approach, or a first-principle, lattice-QCD approach. The final result reads aμSM=116591810(43)×10−11 and is smaller than the Brookhaven measurement by 3.7σ. The experimental uncertainty will soon be reduced by up to a factor four by the new experiment currently running at Fermilab, and also by the future J-PARC experiment. This and the prospects to further reduce the theoretical uncertainty in the near future – which are also discussed here – make this quantity one of the most promising places to look for evidence of new physics.

AB - We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant α and is broken down into pure QED, electroweak, and hadronic contributions. The pure QED contribution is by far the largest and has been evaluated up to and including O(α5) with negligible numerical uncertainty. The electroweak contribution is suppressed by (mμ∕MW)2 and only shows up at the level of the seventh significant digit. It has been evaluated up to two loops and is known to better than one percent. Hadronic contributions are the most difficult to calculate and are responsible for almost all of the theoretical uncertainty. The leading hadronic contribution appears at O(α2) and is due to hadronic vacuum polarization, whereas at O(α3) the hadronic light-by-light scattering contribution appears. Given the low characteristic scale of this observable, these contributions have to be calculated with nonperturbative methods, in particular, dispersion relations and the lattice approach to QCD. The largest part of this review is dedicated to a detailed account of recent efforts to improve the calculation of these two contributions with either a data-driven, dispersive approach, or a first-principle, lattice-QCD approach. The final result reads aμSM=116591810(43)×10−11 and is smaller than the Brookhaven measurement by 3.7σ. The experimental uncertainty will soon be reduced by up to a factor four by the new experiment currently running at Fermilab, and also by the future J-PARC experiment. This and the prospects to further reduce the theoretical uncertainty in the near future – which are also discussed here – make this quantity one of the most promising places to look for evidence of new physics.

KW - PION FORM-FACTOR

KW - 6TH-ORDER RADIATIVE-CORRECTIONS

KW - HADRONIC CROSS-SECTION

KW - BY-LIGHT CONTRIBUTION

KW - VACUUM POLARIZATION INSERTIONS

KW - FINE-STRUCTURE CONSTANT

KW - VIRTUALITY 2-PHOTON INTERACTIONS

KW - PHOTON SCATTERING CONTRIBUTION

KW - MONTE-CARLO GENERATOR

KW - RANGE 600-1380 MEV

UR - http://www.scopus.com/inward/record.url?scp=85095616279&partnerID=8YFLogxK

U2 - 10.1016/j.physrep.2020.07.006

DO - 10.1016/j.physrep.2020.07.006

M3 - Review article

AN - SCOPUS:85095616279

VL - 887

SP - 1

EP - 166

JO - Physics Reports

JF - Physics Reports

SN - 0370-1573

ER -

ID: 25848208