2007/12/31 by T. Aoyama, Takuya Aoyama, M. Hayakawa +3 · 4 citations
Mathematics · Physics and Astronomy · #Anomalous magnetic dipole moment #Atomic and Molecular Physics #Atomic and Subatomic Physics Research #Atomic physics #Combinatorics #Electron #Generator (circuit theory) #Mathematics #Moment (physics) #Order (exchange) #Physics #Quantum and Classical Electrodynamics #Quantum mechanics #Statistics #Value (mathematics) #hep-ph
paper · pdf · doi:10.1103/physrevd.77.053012
published as Phys.Rev.D77:053012,2008 · 54 pages, 5 figures. A new experimental result is added
arxiv created 2008/02/20 · openalex publication_date 2008/03/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We have carried out a new evaluation of the eighth-order contribution to the electron g\ensuremath-2 using FORTRAN codes generated by an automatic code generator gencodeN. Comparison of the new result with the old one has revealed an inconsistency in the treatment of the infrared divergences in the latter. With this error corrected we now have two independent determinations of the eighth-order term. This leads to the revised value 1 159 652 182.79(7.71)\ifmmode×\else\texttimes\fi10^\ensuremath-12 of the electron g\ensuremath-2, where the uncertainty comes mostly from that of the best non-QED value of the fine structure constant \ensuremathα. The new value of \ensuremathα derived from the revised theory and the latest experiment is \ensuremathα^\ensuremath-1=137.035 999 084(51) [0.37 ppb], which is about 4.7 ppb smaller than the previous \ensuremathα^\ensuremath-1.