Automated calculation of QED corrections to lepton $g-2$

Abstract

This article reports our project on the automated calculation of QED corrections to the anomalous magnetic moment of leptons. Our major concern is the tenth-order correction, which is urgently needed considering the recent improvement of electron g−2 measurements. We focus on a type of diagrams that have no internal lepton loops, and have devised the automated code-generating system for the UV-renormalized amplitude. We have newly developed and implemented an efficient algorithm to perform subtractions of IR divergences. This enables us to obtain finite amplitudes that are free from both UV and IR divergences. Currently the numerical evaluation of these diagrams of tenth order is in progress.

Eighth-order vacuum-polarization function formed by two light-by-light-scattering diagrams and its contribution to the tenth-order electrong−2

“…There are 12672 Feynman diagrams contributing to A (10) 1 . Our on-going effort to evaluate all of them has been reported in several articles [33,34,35,36,37,38,39,40]. In this paper, we report the contribution from the diagrams belonging to the gauge-invariant set Set I(j).…”