TENTH-ORDER QED CONTRIBUTION TO THE ELECTRON g-2 AND HIGH PRECISION TEST OF QUANTUM ELECTRODYNAMICS

Abstract

This paper presents the current status of the theory of electron anomalous magnetic moment ae ≡(g-2)/2, including a complete evaluation of 12,672 Feynman diagrams in the tenth-order perturbation theory. To solve this problem, we developed a code-generator which converts Feynman diagrams automatically into fully renormalized Feynman-parametric integrals. They are evaluated numerically by an integration routine VEGAS. The preliminary result obtained thus far is 9.16 (58) (α/π)5, where (58) denotes the uncertainty in the last two digits. This leads to ae( theory ) = 1.159 652 181 78 (77) ×10-3, which is in agreement with the latest measurement ae ( exp :2008) = 1.159 652 180 73 (28) ×10-3. It shows that the Feynman–Dyson method of perturbative QED works up to the precision of 10-12.