Automated calculation of QED corrections to lepton $g-2$
Tatsumi Aoyama, Masashi Hayakawa, T. Kinoshita, M. Nio · 2008
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.