The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Tenth-Order QED Contribution to the Electrong−2and an Improved Value of the Fine Structure Constant
Open accessAbstract
This Letter presents the complete QED contribution to the electron $g\ensuremath{-}2$ up to the tenth order. With the help of the automatic code generator, we evaluate all 12 672 diagrams of the tenth-order diagrams and obtain $9.16\text{ }(58)(\ensuremath{\alpha}/\ensuremath{\pi}{)}^{5}$. We also improve the eighth-order contribution obtaining $\ensuremath{-}1.9097\text{ }(20)(\ensuremath{\alpha}/\ensuremath{\pi}{)}^{4}$, which includes the mass-dependent contributions. These results lead to ${a}_{e}(\mathrm{\text{theory}})=1\text{ }159\text{ }652\text{ }181.78(77)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}12}$. The improved value of the fine-structure constant ${\ensuremath{\alpha}}^{\ensuremath{-}1}=137.035\text{ }999\text{ }173\text{ }(35)$ [0.25 ppb] is also derived from the theory and measurement of ${a}_{e}$.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A new algorithm for adaptive multidimensional integration
Peter Lepage, G. (1978) · Journal of Computational Physics · doi:10.1016/0021-9991(78)90004-9 · Cited by 1,657
On Quantum-Electrodynamics and the Magnetic Moment of the Electron
Schwinger, J. (1948) · Physical Review · doi:10.1103/physrev.73.416 · Cited by 1,188
New measurement of the electron magnetic moment and the fine structure constant
Hanneke, D., Fogwell, S., & Gabrielse, G. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.120801 · Cited by 1,138
CODATA recommended values of the fundamental physical constants: 1998
Mohr, P. J., & Taylor, B. N. (2000) · Reviews of Modern Physics · doi:10.1103/revmodphys.72.351 · Cited by 768
New Determination of the Fine Structure Constant and Test of the Quantum Electrodynamics
Bouchendira, R., Cladé, P., Guellati-Khélifa, S., Nez, F., & Biraben, F. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.080801 · Cited by 568
Generalized Renormalizable Gauge Formulation of Spontaneously Broken Gauge Theories
Fujikawa, K., Lee, B. W., & Sanda, A. I. (1972) · Physical Review D · doi:10.1103/physrevd.6.2923 · Cited by 460
Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment
Hanneke, D., Fogwell Hoogerheide, S., & Gabrielse, G. (2011) · Physical Review A · doi:10.1103/physreva.83.052122 · Cited by 356
New Determination of the Fine Structure Constant from the ElectrongValue and QED
Gabrielse, G., Hanneke, D., Kinoshita, T., Nio, M., & Odom, B. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.030802 · Cited by 325
Self-citationElectroweak Corrections to the Muon Anomalous Magnetic Moment
Czarnecki, A., Krause, B., & Marciano, W. J. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.3267 · Cited by 286
Higher-order hadronic contributions to the anomalous magnetic moment of leptons
Krause, B. (1997) · Physics Letters B · doi:10.1016/s0370-2693(96)01346-9 · Cited by 185
Cited by
Measurement of the fine-structure constant as a test of the Standard Model
Parker, R. H., Yu, C., Zhong, W., Estey, B., & Müller, H. (2018) · Science · doi:10.1126/science.aap7706 · Cited by 917
Determination of the fine-structure constant with an accuracy of 81 parts per trillion
Morel, L., Yao, Z., Cladé, P., & Guellati-Khélifa, S. (2020) · Nature · doi:10.1038/s41586-020-2964-7 · Cited by 590
High-precision measurement of the atomic mass of the electron
Sturm, S., Köhler, F., Zatorski, J., Wagner, A., Harman, Z., Werth, G., Quint, W., Keitel, C. H., & Blaum, K. (2014) · Nature · doi:10.1038/nature13026 · Cited by 326
Measurement of the Electron Magnetic Moment
Fan, X., Myers, T. G., Sukra, B. A. D., & Gabrielse, G. (2023) · Physical Review Letters · doi:10.1103/physrevlett.130.071801 · Cited by 258
Metadata
- Authors
- Aoyama, T., Hayakawa, M., Kinoshita, T., & Nio, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-09-13
- Volume
- 109
- Issue
- 11
- Pages
- 111807-111807
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2035842045
- Cited by
- 431
- References
- 18
- FWCI
- 16.84
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Tenth-Order QED Contribution to the Electrong−2and an Improved Value of the Fine Structure Constant. https://app.cochat.ai/papers/10.1103/physrevlett.109.111807
- The paper
- Aoyama, T., Hayakawa, M., Kinoshita, T., & Nio, M. (2012). Tenth-Order QED Contribution to the Electrong−2and an Improved Value of the Fine Structure Constant. Physical Review Letters. https://doi.org/10.1103/physrevlett.109.111807
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
