@misc{10481/66537,
year = {2020},
month = {12},
url = {http://hdl.handle.net/10481/66537},
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 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 with negligible numerical uncertainty. The electroweak contribution is suppressed by 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 and is due to hadronic vacuum polarization, whereas at 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 and is smaller than the Brookhaven measurement by 3.7. 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.},
organization = {Fermilab Directorate},
organization = {Fermilab Theoretical Physics Department},
organization = {Fermilab Distinguished Scholars program},
organization = {Universities Research Association through a URA Visiting Scholar award},
organization = {Riken Brookhaven Research Center},
organization = {Ministry of Education, Culture, Sports, Science and Technology, Japan (MEXT)

Japan Society for the Promotion of Science
	
KAKEHNHI-17H02906
KAKENHI-15H05742
16K05317
16K05323
16K05338
17H01133
17H02906
18H05226
19K21872
20K03926
20K03960},
organization = {High Energy Accelerator Research Organization (KEK)},
organization = {U.S.-Japan Science and Technology Cooperation Program in High Energy Physics},
organization = {Deutsche Forschungsgemeinschaft via the Cluster of Excellence "Precision Physics, Fundamental Interactions and Structure of Matter'' (PRISMA)},
organization = {Collaborative Research Centre "The low-energy frontier of the Standard Model'' 	
SFB 1044},
organization = {Helmholtz Institute Mainz},
organization = {United States Department of Energy (DOE)
	
DE-FG02-00ER41132
DE-SC0020106},
organization = {Centre National de la Recherche Scientifique (CNRS)},
organization = {Conacyt (Ciencia Basica 2015) 	
250628},
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CB2014-22117},
organization = {Coordinacion de la Investigacion Cientifica (CIC-UMSNH) 	
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organization = {Danmarks Frie Forskningsfond 	
8021-00122B},
organization = {German Research Foundation (DFG)
	
CRC 1044
CRC 1044 -204404729
CRC 110
HI 2048/1-1},
organization = {Prisma Cluster for Excellence PRISMA+ 	
EXC2118/1
STO/876/6-1},
organization = {European Research Council (ERC)
	
668679
757646
771971-SIMDAMA
813942},
organization = {European Union (EU)
	
754510},
organization = {European Union (EU)
	
843134},
organization = {European Union EuroPLEx Grant 	
H2020-MSCA-ITN-2018-813942},
organization = {European Union STRONG 2020 project 	
824093},
organization = {French National Research Agency (ANR)},
organization = {OCEVU Laboratoire d'Excellence 	
ANR-11-LABX-0060},
organization = {Fondo SEP-Cinvestav 	
142},
organization = {Portuguese Foundation for Science and Technology
	
SFRH/BPD/109443/2015},
organization = {Generalitat de Catalunya
	
2017SGR1069},
organization = {Helmholtz Association (German Federal Ministry of Education and Research)},
organization = {Istituto Nazionale di Fisica Nucleare (INFN)},
organization = {Isaac Newton Trust},
organization = {Junta de Andalucia
	
A-FQM-467-UGR18},
organization = {Instituto de Salud Carlos III

Spanish Government
	
CICYTFEDER-FPA2017-86989-P},
organization = {Ministerio de Industria, Economia y Competitividad 	
FPA2016-78220-C3-3-P
FPA2017-86989-P
PGC2018-094857-B-I00
SEV-2016-0588
SEV-2016-0597},
organization = {Laboratoires d'Excellence FIRST-TF grants},
organization = {Ministry of Science and Higher Education of the Russian Federation 	
14.W03.31.0026},
organization = {National Research Foundation - South Africa},
organization = {Natural Sciences and Engineering Research Council of Canada (NSERC)

CGIAR},
organization = {Portuguese Science Foundation (FCT) Investigator Grant 	
IF/00898/2015},
organization = {Romanian Ministry of Education and Research 	
PN19060101},
organization = {Russian Science Foundation (RSF)
	
RSF 18-12-00128},
organization = {Generalitat de Catalunya
	
2017 SGR 1069},
organization = {Swedish Research Council
	
2016-05996
2019-03779},
organization = {Swiss National Science Foundation (SNSF)
	
PP00P2_176884
PCEFP2_181117},
organization = {Leverhulme Trust
	
ECF-2019-223},
organization = {UK Research & Innovation (UKRI)

Science & Technology Facilities Council (STFC)
	
ST/N504130/1
ST/P000290/1
ST/P00055X/1
ST/P000630/1
ST/P000711/1
ST/P000746/1
ST/S000879/1
ST/S000925/1},
organization = {United States Department of Energy (DOE)
	
DE-SC0009919
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DE-SC0010005
DE-SC0010120
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DE-SC0012704
DE-SC0013682
DE-SC0013895
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organization = {United States Department of Energy (DOE)
	
DE-FG02-00ER41132
DE-AC02-05CH11231
DE-FG02-97ER41020
DE-AC02-07CH11359},
organization = {U.S.-Japan Science and Technology Cooperation Program in High Energy Physics, "Incubation Platform for Intensity Frontier"},
organization = {National Science Foundation (NSF)
	
NSF-PHY-1316222
PHY14-14614
PHY17-19626
PHY19-23131},
organization = {U.S. National Institute of Standards and Technology (NIST) Precision Measurement Grant 	
60NANB16D271},
publisher = {Elsevier},
title = {The anomalous magnetic moment of the muon in the Standard Model},
doi = {10.1016/j.physrep.2020.07.006},
author = {Aoyama, T. and Gámiz Sánchez, María Elvira},
}