Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant
Abstract
This Letter presents the complete QED contribution to the electron g-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(58)(α/π)5. We also improve the eighth-order contribution obtaining -1.9097(20)(α/π)4, which includes the mass-dependent contributions. These results lead to ae(theory)=1159652181.78(77)×10-12. The improved value of the fine-structure constant α-1=137.035999173(35) [0.25 ppb] is also derived from the theory and measurement of ae.
- Publication:
-
Physical Review Letters
- Pub Date:
- September 2012
- DOI:
- arXiv:
- arXiv:1205.5368
- Bibcode:
- 2012PhRvL.109k1807A
- Keywords:
-
- 13.40.Em;
- 06.20.Jr;
- 12.20.Ds;
- 14.60.Cd;
- Electric and magnetic moments;
- Determination of fundamental constants;
- Specific calculations;
- Electrons;
- High Energy Physics - Phenomenology
- E-Print:
- 4 pages, 2 figures. Some numbers are slightly changed