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Article
Report number	arXiv:2006.04822 ; FERMILAB-PUB-20-207-T ; INT-PUB-20-021 ; KEK Preprint 2020-5, MITP/20-028 ; KEK Preprint 2020-5, MITP/20-028 ; CERN-TH-2020-075 ; IFT-UAM/CSIC-20-74 ; LMU-ASC 18/20 ; LTH 1234, LU TP 20-20 ; LTH 1234, LU TP 20-20 ; MAN/HEP/2020/003 ; PSI-PR-20-06 ; UWThPh 2020-14 ; ZU-TH 18/20
Title	The anomalous magnetic moment of the muon in the Standard Model
Author(s)	Aoyama, T. (KEK, Tsukuba ; Nishina Ctr., RIKEN ; KMI, Nagoya) ; Asmussen, N. (Southampton U.) ; Benayoun, M. (Paris U., VI-VII) ; Bijnens, J. (Lund U.) ; Blum, T. (Connecticut U. ; RIKEN BNL) ; Bruno, M. (CERN) ; Caprini, I. (Bucharest, IFIN-HH) ; Carloni Calame, C.M. (INFN, Pavia) ; Cè, M. (CERN ; Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz) ; Colangelo, G. (U. Bern, AEC) ; Curciarello, F. (Catania U. ; Frascati) ; Czyż, H. (Chorzow Observ.) ; Danilkin, I. (Mainz U., Inst. Phys.) ; Davier, M. (IJCLab, Orsay) ; Davies, C.T.H. (Glasgow U.) ; Della Morte, M. (Southern Denmark U., CP3-Origins) ; Eidelman, S.I. (Novosibirsk State U. ; Novosibirsk, IYF ; Lebedev Inst.) ; El-Khadra, A.X. (Illinois U., Urbana ; Fermilab) ; Gérardin, A. (Marseille, CPT) ; Giusti, D. (Regensburg U. ; INFN, Rome3) ; Golterman, M. (San Francisco State U.) ; Gottlieb, Steven (Indiana U.) ; Gülpers, V. (Edinburgh U.) ; Hagelstein, F. (U. Bern, AEC) ; Hayakawa, M. (Nagoya U. ; Nishina Ctr., RIKEN) ; Herdoíza, G. (Madrid, Autonoma U. ; Madrid, IFT) ; Hertzog, D.W. (Washington U., Seattle) ; Hoecker, A. (CERN) ; Hoferichter, M. (U. Bern, AEC ; Washington U., Seattle) ; Hoid, B.-L. (Bonn U. ; Bonn U., HISKP) ; Hudspith, R.J. (Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz) ; Ignatov, F. (Novosibirsk State U. ; Novosibirsk, IYF) ; Izubuchi, T. (Brookhaven ; RIKEN BNL) ; Jegerlehner, F. (Humboldt U., Berlin (main)) ; Jin, L. (Connecticut U. ; RIKEN BNL) ; Keshavarzi, A. (Manchester U.) ; Kinoshita, T. (Cornell U., LEPP ; Massachusetts U., Amherst) ; Kubis, B. (Bonn U. ; Bonn U., HISKP) ; Kupich, A. (Novosibirsk State U. ; Novosibirsk, IYF) ; Kupść, A. (Uppsala U. ; NCBJ, Warsaw) ; Laub, L. (U. Bern, AEC) ; Lehner, C. (Regensburg U. ; Brookhaven) ; Lellouch, L. (Marseille, CPT) ; Logashenko, I. (Novosibirsk State U. ; Novosibirsk, IYF) ; Malaescu, B. (Paris U., VI-VII) ; Maltman, K. (York U., Canada ; Adelaide U., Sch. Chem. Phys.) ; Marinković, M.K. (Munich U. ; Lisbon, CFTP) ; Masjuan, P. (Barcelona, Autonoma U. ; Barcelona, IFAE) ; Meyer, A.S. (Brookhaven) ; Meyer, H.B. (Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz) ; Mibe, T. (KEK, Tsukuba) ; Miura, K. (Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz ; KMI, Nagoya) ; Müller, S.E. (HZDR, Dresden) ; Nio, M. (Nishina Ctr., RIKEN ; Saitama U.) ; Nomura, D. (Intl. U. Health and Welfare ; KEK, Tsukuba) ; Nyffeler, A. (Mainz U., Inst. Phys.) ; Pascalutsa, V. (Mainz U., Inst. Phys.) ; Passera, M. (INFN, Padua) ; Perez del Rio, E. (Rome U.) ; Peris, S. (Barcelona, Autonoma U. ; Barcelona, IFAE) ; Portelli, A. (Edinburgh U.) ; Procura, M. (Vienna U.) ; Redmer, C.F. (Mainz U., Inst. Phys.) ; Roberts, B.L. (Boston U.) ; Sánchez-Puertas, P. (Barcelona, IFAE) ; Serednyakov, S. (Novosibirsk State U. ; Novosibirsk, IYF) ; Shwartz, B. (Novosibirsk State U. ; Novosibirsk, IYF) ; Simula, S. (INFN, Rome3) ; Stöckinger, D. (Dresden, Tech. U.) ; Stöckinger-Kim, H. (Dresden, Tech. U.) ; Stoffer, P. (UC, San Diego) ; Teubner, T. (Liverpool U., Dept. Math.) ; Van de Water, R. (Fermilab) ; Vanderhaeghen, M. (Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz) ; Venanzoni, G. (INFN, Pisa) ; von Hippel, G. (Mainz U., Inst. Phys.) ; Wittig, H. (Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz) ; Zhang, Z. (IJCLab, Orsay) ; Achasov, M.N. (Novosibirsk State U. ; Novosibirsk, IYF) ; Bashir, A. (IFM-UMSNH, Michoacan) ; Cardoso, N. (Lisbon, CFTP) ; Chakraborty, B. (Cambridge U., DAMTP) ; Chao, E.-H. (Mainz U., Inst. Phys.) ; Charles, J. (Marseille, CPT) ; Crivellin, A. (Zurich U. ; PSI, Villigen) ; Deineka, O. (Mainz U., Inst. Phys.) ; Denig, A. (Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz) ; DeTar, C. (Utah U.) ; Dominguez, C.A. (Cape Town U.) ; Dorokhov, A.E. (Dubna, JINR) ; Druzhinin, V.P. (Novosibirsk State U. ; Novosibirsk, IYF) ; Eichmann, G. (LIP, Lisbon ; Lisbon, CFTP) ; Fael, M. (KIT, Karlsruhe, TTP) ; Fischer, C.S. (Giessen U.) ; Gámiz, E. (CAFPE, Granada ; Granada U., Theor. Phys. Astrophys.) ; Gelzer, Z. (Illinois U., Urbana) ; Green, J.R. (CERN) ; Guellati-Khelifa, S. (Paris, Lab. Kastler Brossel) ; Hatton, D. (Glasgow U.) ; Hermansson-Truedsson, N. (U. Bern, AEC) ; Holz, S. (Bonn U. ; Bonn U., HISKP) ; Hörz, B. (LBNL, NSD) ; Knecht, M. (Marseille, CPT) ; Koponen, J. (KEK, Tsukuba) ; Kronfeld, A.S. (Fermilab) ; Laiho, J. (Syracuse U.) ; Leupold, S. (Uppsala U.) ; Mackenzie, P.B. (Fermilab) ; Marciano, W.J. (Brookhaven) ; McNeile, C. (Plymouth U.) ; Mohler, D. (Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz) ; Monnard, J. (U. Bern, AEC) ; Neil, E.T. (Colorado U.) ; Nesterenko, A.V. (Dubna, JINR) ; Ottnad, K. (Mainz U., Inst. Phys.) ; Pauk, V. (Mainz U., Inst. Phys.) ; Radzhabov, A.E. (RAS, ISDCT) ; de Rafael, E. (Marseille, CPT) ; Raya, K. (Nankai U.) ; Risch, A. (Mainz U., Inst. Phys.) ; Rodríguez-Sánchez, A. (Lund U.) ; Roig, P. (CINVESTAV, IPN) ; San José, T. (Mainz U., Inst. Phys. ; Darmstadt, GSI ; Helmholtz Inst., Mainz) ; Solodov, E.P. (Novosibirsk State U. ; Novosibirsk, IYF) ; Sugar, R. (UC, Santa Barbara) ; Todyshev, K.Yu. (Novosibirsk State U. ; Novosibirsk, IYF) ; Vainshtein, A. (Minnesota U.) ; Vaquero Avilés-Casco, A. (Utah U.) ; Weil, E. (Giessen U.) ; Wilhelm, J. (Mainz U., Inst. Phys.) ; Williams, R. (Giessen U.) ; Zhevlakov, A.S. (RAS, ISDCT)
Publication	2020-12-03
Imprint	08 Jun 2020
Number of pages	166
Note	196 pages, 103 figures, version published in Phys. Rept., bib files for the citation references are available from: https://muon-gm2-theory.illinois.edu
In:	Phys. Rep. 887 (2020) 1-166
DOI	10.1016/j.physrep.2020.07.006
Subject category	Particle Physics - Phenomenology ; nucl-th ; Nuclear Physics - Theory ; nucl-ex ; Nuclear Physics - Experiment ; hep-lat ; Particle Physics - Lattice ; hep-ex ; Particle Physics - Experiment ; hep-ph
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 $\alpha$ 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 $\mathcal{O}(\alpha^5)$ with negligible numerical uncertainty. The electroweak contribution is suppressed by $(m_\mu/M_W)^2$ 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 $\mathcal{O}(\alpha^2)$ and is due to hadronic vacuum polarization, whereas at $\mathcal{O}(\alpha^3)$ 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 $a_\mu^\text{SM}=116\,591\,810(43)\times 10^{-11}$ and is smaller than the Brookhaven measurement by 3.7$\sigma$. 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.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2020 Elsevier B.V.

Corresponding record in: Inspire
Email contact: marco.ce@cern.ch