https://arxiv.org/abs/2505.21476 close this message arXiv smileybones arXiv Is Hiring a DevOps Engineer Work on one of the world's most important websites and make an impact on open science. View Jobs Skip to main content Cornell University arXiv Is Hiring a DevOps Engineer View Jobs We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate arxiv logo > hep-ph > arXiv:2505.21476 [ ] Help | Advanced Search [All fields ] Search arXiv logo Cornell University Logo [ ] GO quick links * Login * Help Pages * About High Energy Physics - Phenomenology arXiv:2505.21476 (hep-ph) [Submitted on 27 May 2025] Title:The anomalous magnetic moment of the muon in the Standard Model: an update Authors:R. Aliberti, T. Aoyama, E. Balzani, A. Bashir, G. Benton, J. Bijnens, V. Biloshytskyi, T. Blum, D. Boito, M. Bruno, E. Budassi, S. Burri, L. Cappiello, C. M. Carloni Calame, M. Ce, V. Cirigliano, D. A. Clarke, G. Colangelo, L. Cotrozzi, M. Cottini, I. Danilkin, M. Davier, M. Della Morte, A. Denig, C. DeTar, V. Druzhinin, G. Eichmann , A. X. El-Khadra, E. Estrada, X. Feng, C. S. Fischer, R. Frezzotti, G. Gagliardi, A. Gerardin, M. Ghilardi, D. Giusti, M. Golterman, S. Gonzalez-Solis, S. Gottlieb, R. Gruber, A. Guevara, V. Gulpers, A. Gurgone, F. Hagelstein, M. Hayakawa, N. Hermansson-Truedsson, A. Hoecker, M. Hoferichter, B.-L. Hoid, S. Holz, R. J. Hudspith, F. Ignatov, L. Jin, N. Kalntis, G. Kanwar, A. Keshavarzi, J. Komijani, J. Koponen, S. Kuberski, B. Kubis, A. Kupich, A. Kupsc, S. Lahert, S. Laporta, C. Lehner, M. Lellmann, L. Lellouch, T. Leplumey, J. Leutgeb , T. Lin, Q. Liu, I. Logashenko, C. Y. London, G. Lopez Castro, J. Ludtke, A. Lusiani, A. Lutz, J. Mager, B. Malaescu, K. Maltman, M. K. Marinkovic, J. Marquez, P. Masjuan, H. B. Meyer, T. Mibe, N. Miller, A. Miramontes, A. Miranda, G. Montagna, S. E. Muller, E. T. Neil, A. V. Nesterenko, O. Nicrosini, M. Nio, D. Nomura, J. Paltrinieri, L. Parato, J. Parrino, V. Pascalutsa, M. Passera , S. Peris, P. Petit Rosas, F. Piccinini, R. N. Pilato, L. Polat, A. Portelli, D. Portillo-Sanchez, M. Procura, L. Punzi, K. Raya, A. Rebhan, C. F. Redmer, B. L. Roberts, A. Rodriguez-Sanchez, P. Roig, J. Ruiz de Elvira, P. Sanchez-Puertas, A. Signer, J. W. Sitison, D. Stamen, D. Stockinger, H. Stockinger-Kim, P. Stoffer, Y. Sue, P. Tavella, T. Teubner, J.-N. Toelstede, G. Toledo, W. J. Torres Bobadilla, J. T. Tsang, F. P. Ucci, Y. Ulrich, R. S. Van de Water, G. Venanzoni, S. Volkov, G. von Hippel, G. Wang, U. Wenger, H. Wittig, A. Wright, E. Zaid, M. Zanke, Z. Zhang, M. Zillinger, C. Alexandrou, A. Altherr, M. Anderson, C. Aubin, S. Bacchio, P. Beltrame, A. Beltran, P. Boyle, I. Campos Plasencia, I. Caprini, B. Chakraborty, G. Chanturia, A. Crivellin, A. Czarnecki, T. Dave, L. Del Debbio, K. Demory, D. Djukanovic, T. Draper, A. Driutti, M. Endo, F. Erben, K. Ferraby, J. Finkenrath, L. Flower, A. Francis, E. Gamiz, J. Gogniat, S. Gundogdu, M. T. Hansen, S. Hashimoto, H. Hayashii, D. W. Hertzog, L. A. Heuser, L. Hostetler, X. T. Hou, G. S. Huang, T. Iijima, K. Inami, A. Juttner, R. Kitano, M. Knecht, S. Kollatzsch, A. S. Kronfeld, T. Lenz, G. Levati, Q. M. Li, Y. P. Liao, J. Libby, K. F. Liu, V. Lubicz, M. T. Lynch, A. T. Lytle, J. L. Ma, K. Miura, K. Mohling, J. Muskalla, F. Noel, K. Ottnad, P. Paradisi, C. T. Peterson , S. Pitelis, S. Plura, A. Price, D. Radic, A. Radzhabov, A. Risch, S. Romiti, S. Sahoo, F. Sannino, H. Schafer, Y. Schelhaas, S. I. Serednyakov, O. Shekhovtsova, J. N. Simone, S. Simula, E. P. Solodov, F. M. Stokes, M. Vanderhaeghen, A. Vaquero, N. Vestergaard, W. Wang, K. Yamashita, Y. B. Yang, T. Yoshioka, C. Z. Yuan, A. S. Zhevlakov et al. (131 additional authors not shown) You must enable JavaScript to view entire author list. View a PDF of the paper titled The anomalous magnetic moment of the muon in the Standard Model: an update, by R. Aliberti and 230 other authors View PDF Abstract:We present the current Standard Model (SM) prediction for the muon anomalous magnetic moment, $a_\mu$, updating the first White Paper (WP20) [1]. The pure QED and electroweak contributions have been further consolidated, while hadronic contributions continue to be responsible for the bulk of the uncertainty of the SM prediction. Significant progress has been achieved in the hadronic light-by-light scattering contribution using both the data-driven dispersive approach as well as lattice-QCD calculations, leading to a reduction of the uncertainty by almost a factor of two. The most important development since WP20 is the change in the estimate of the leading-order hadronic-vacuum-polarization (LO HVP) contribution. A new measurement of the $e^+e^-\to\pi^+\pi^-$ cross section by CMD-3 has increased the tensions among data-driven dispersive evaluations of the LO HVP contribution to a level that makes it impossible to combine the results in a meaningful way. At the same time, the attainable precision of lattice-QCD calculations has increased substantially and allows for a consolidated lattice-QCD average of the LO HVP contribution with a precision of about 0.9\%. Adopting the latter in this update has resulted in a major upward shift of the total SM prediction, which now reads $a_\mu^\text{SM} = 116\,592\,033(62)\times 10^{-11}$ (530 ppb). When compared against the current experimental average based on the E821 experiment and runs 1-3 of E989 at Fermilab, one finds $a_\mu^\text{exp} - a_\mu^\text{SM} =26(66)\times 10^ {-11}$, which implies that there is no tension between the SM and experiment at the current level of precision. The final precision of E989 is expected to be around 140 ppb, which is the target of future efforts by the Theory Initiative. The resolution of the tensions among data-driven dispersive evaluations of the LO HVP contribution will be a key element in this endeavor. Comments: 188 pages, 83 figures High Energy Physics - Phenomenology (hep-ph); High Subjects: Energy Physics - Experiment (hep-ex); High Energy Physics - Lattice (hep-lat); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th) CERN-TH-2025-101, FERMILAB-PUB-25-0344-T, Report number: INT-PUB-25-015, IPARCOS-UCM-25-029, KEK Preprint 2025-22, LTH 1403, MITP-25-037, UWThPh 2025-15, ZU-TH 37/25 Cite as: arXiv:2505.21476 [hep-ph] (or arXiv:2505.21476v1 [hep-ph] for this version) https://doi.org/10.48550/arXiv.2505.21476 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Aida El-Khadra [view email] [v1] Tue, 27 May 2025 17:48:30 UTC (14,021 KB) Full-text links: Access Paper: View a PDF of the paper titled The anomalous magnetic moment of the muon in the Standard Model: an update, by R. 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