Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

The anomalous magnetic moment of the muon in the Standard Model : an update

Aliberti, R. ; Zhevlakov, A.S. ; Bijnens, J. LU orcid and Hermansson-Truedsson, Nils LU orcid (2025) In Physics Reports 1143. p.1-158
Abstract

We present the current Standard Model (SM) prediction for the muon anomalous magnetic moment, aμ, 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... (More)

We present the current Standard Model (SM) prediction for the muon anomalous magnetic moment, aμ, 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→π+π 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 aμSM=116592033(62)×10−11 (530ppb). When compared against the current experimental average based on the E821 experiment and runs 1–6 of E989 at Fermilab, one finds aμexp−aμSM=38(63)×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 (127 ppb) 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.

(Less)
Please use this url to cite or link to this publication:
author
; ; and
author collaboration
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Anomalous magnetic moment of the muon
in
Physics Reports
volume
1143
pages
158 pages
publisher
Elsevier
external identifiers
  • scopus:105015387261
ISSN
0370-1573
DOI
10.1016/j.physrep.2025.08.002
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2025 The Author(s)
id
065c7fec-7a65-46eb-b862-a115a8d819c0
date added to LUP
2025-11-03 16:31:25
date last changed
2025-11-05 10:08:14
@article{065c7fec-7a65-46eb-b862-a115a8d819c0,
  abstract     = {{<p>We present the current Standard Model (SM) prediction for the muon anomalous magnetic moment, a<sub>μ</sub>, 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<sup>+</sup>e<sup>−</sup>→π<sup>+</sup>π<sup>−</sup> 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<sub>μ</sub><sup>SM</sup>=116592033(62)×10<sup>−11</sup> (530ppb). When compared against the current experimental average based on the E821 experiment and runs 1–6 of E989 at Fermilab, one finds a<sub>μ</sub><sup>exp</sup>−a<sub>μ</sub><sup>SM</sup>=38(63)×10<sup>−11</sup>, which implies that there is no tension between the SM and experiment at the current level of precision. The final precision of E989 (127 ppb) 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.</p>}},
  author       = {{Aliberti, R. and Zhevlakov, A.S. and Bijnens, J. and Hermansson-Truedsson, Nils}},
  issn         = {{0370-1573}},
  keywords     = {{Anomalous magnetic moment of the muon}},
  language     = {{eng}},
  month        = {{11}},
  pages        = {{1--158}},
  publisher    = {{Elsevier}},
  series       = {{Physics Reports}},
  title        = {{The anomalous magnetic moment of the muon in the Standard Model : an update}},
  url          = {{http://dx.doi.org/10.1016/j.physrep.2025.08.002}},
  doi          = {{10.1016/j.physrep.2025.08.002}},
  volume       = {{1143}},
  year         = {{2025}},
}