High Energy Physics - Phenomenology · arXiv:hep-ph/0507249 v2 · submitted 21 Jul 2005
Improved α4 Term of the Electron Anomalous Magnetic Moment
The paper says
“This leads to ae = 1159652175.86(0.10)(0.26)(8.48) × 10−12, where the uncertainties come from the α4 term, the estimated uncertainty of α5 term, and the inverse fine structure constant, α−1 = 137.0360003(10), measured by atom interferometry combined with a frequency comb technique, respectively.”
from the abstract · picked out as the main claim by a classifier
Reviews
Reviews by people
No person has reviewed this paper on Pith yet. A scientist listed on Pith can review it for a fee, and their review is published here whatever it concludes.
The paper
Abstract
We report a new value of electron g−2, or ae, from 891 Feynman diagrams of order α4. The FORTRAN codes of 373 diagrams containing closed electron loops have been verified by at least two independent formulations. For the remaining 518 diagrams, which have no closed lepton loop, verification by a second formulation is not yet attempted because of the enormous amount of additional work required. However, these integrals have structures that allow extensive cross-checking as well as detailed comparison with lower-order diagrams through the renormalization procedure. No algebraic error has been uncovered for them. The numerical evaluation of the entire α4 term by the integration routine VEGAS gives −1.7283(35)(α/π)4, where the uncertainty is obtained by careful examination of error estimates by VEGAS. This leads to ae = 1159652175.86(0.10)(0.26)(8.48) × 10−12, where the uncertainties come from the α4 term, the estimated uncertainty of α5 term, and the inverse fine structure constant, α−1 = 137.0360003(10), measured by atom interferometry combined with a frequency comb technique, respectively. The inverse fine structure constant α−1(ae) derived from the theory and the Seattle measurement of ae is 137.03599883(51).
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. No sentence in this record was written by a model.
abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.96 · human participants 0.03 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.64 · mentions code or data availability 0.03
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We report a new value of electron $g-2$, or $a_e$, from 891 Feynman diagrams of order $\alpha^4$. | contribution 0.72 | 0.96 | 0.58 | asserted 1.00 |
| The FORTRAN codes of 373 diagrams containing closed electron loops have been verified by at least two independent formulations. | method 0.95 | 0.87 | 0.03 | asserted 1.00 |
| For the remaining 518 diagrams, which have no closed lepton loop, verification by a second formulation is not yet attempted because of the enormous amount of additional work required. | limitation 0.99 | 0.72 | 0.02 | asserted 0.99 |
| However, these integrals have structures that allow extensive cross-checking as well as detailed comparison with lower-order diagrams through the renormalization procedure. | method 0.75 | 0.69 | 0.02 | asserted 0.91 |
| No algebraic error has been uncovered for them. | limitation 0.55 | 0.89 | 0.03 | asserted 1.00 |
| The numerical evaluation of the entire $\alpha^4$ term by the integration routine VEGAS gives $-1.7283 (35) (\alpha/\pi)^4$, where the uncertainty is obtained by careful examination of error estimates by VEGAS. | result 0.99 | 0.94 | 0.41 | asserted 1.00 |
| This leads to $a_e = 1 159 652 175.86 (0.10) (0.26) (8.48) \times 10^{-12}$, where the uncertainties come from the $\alpha^4$ term, the estimated uncertainty of $\alpha^5$ term, and the inverse fine structure constant, $\alpha^{-1} = 137.036 000 3 (10)$, measured by atom interferometry combined with a frequency comb technique, respectively. | result 1.00 | 0.85 | 0.43 | asserted 1.00 |
| The inverse fine structure constant $\alpha^{-1} (a_e)$ derived from the theory and the Seattle measurement of $a_e$ is $137.035 998 83 (51)$. | result 0.96 | 0.80 | 0.24 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 0.78 · evidence from simulation or computation 1.00
What was examined, and what was not
Sources read
- arXiv listing abstract v2
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,599 input tokens, $0.0003 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 5 Pith papers
Reviewed papers on Pith that cite this one. OpenAlex reports about 134 citations worldwide. The full citation record
- Remarks on higher-order hadronic corrections to the muon g-2 hep-ph · Mar 2014
- Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ) hep-ph · Oct 2010
- Probing MeV Dark Matter at Low--Energy $e^+e^-$ Colliders hep-ph · Oct 2005
- New Strong-Field QED Effects at ELI: Nonperturbative Vacuum Pair Production hep-th · Dec 2008
- Lepton anomalous magnetic moments: Theory hep-ph · Dec 2025
How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it · 1 sentence without a confident label
Uses its data or values 1 paper
-
On the theoretical side [ref] , a four-loop computation [involving 891 four-loop Feynman diagrams!] gives $g$ as a series in the fine structure constant $α=e^2/ħc$ [which sets the interaction strength of perturbative QED] as: [equation] On the experimental side [ref] , a single-electron cyclotron has been used to measure $g$ directly, without measuring $α$, and the result agrees remarkably well with the value obtained from g-2 using a precise independent measurement of $α$ (from atomic recoil experiments with Rb): [equation] This is an impressive confirmation of the precision of perturbative QED.
New Strong-Field QED Effects at ELI: Nonperturbative Vacuum Pair Production · Introduction · 0.80
Challenges and discussion
Know something about this paper? Leave a comment.
Come back by email
A short list of the week's newly reviewed papers. Nothing is sent until you confirm from your inbox, and every email has a link that stops it. No account.
No comments yet.
Sign in to comment