Work

Tenth-Order QED Contribution to the Electron g−2 and an Improved Value of the Fine Structure Constant

Year: 2012

Type: article

Abstract: 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 ${a}_{e}$.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.109.111807

Authors: Tatsumi Aoyama, Masashi Hayakawa, Toichiro Kinoshita, Makiko Nio

Institutions: RIKEN Nishina Center, Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Cornell University

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Japan Society for the Promotion of Science

Awards: High precision calculation of the lepton anomalous magnetic moments, Study on quantum-mechanical dynamics of gauge theories