The anomalous magnetic moment of the muon in the Standard Model

Funding

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. 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.