Tenth-order lepton g-2: Contribution of some fourth-order radiative corrections to the sixth-order g-2 containing light-by-light-scattering subdiagrams

TL;DR

This paper calculates the tenth-order QED contributions to lepton g-2 from specific radiative correction diagrams involving light-by-light scattering, providing detailed numerical results for electron and muon cases.

Contribution

It presents the first detailed numerical evaluation of tenth-order light-by-light scattering contributions to lepton g-2, including mass-dependent effects from muon loops.

Findings

Electron g-2 contributions: 1.8418(95), -1.5918(65), 0.1797(40) in units of (alpha/pi)^5.

Muon g-2 contributions: -5.876(802), 5.710(490), -8.361(232) in units of (alpha/pi)^5.

Numerical results include effects of muon, electron, and tau loops.

Abstract

This paper reports the tenth-order QED contribution to lepton g-2 from diagrams of three gauge-invariant sets VI(d), VI(g), and VI(h), which are obtained by including various fourth-order radiative corrections to the sixth-order g-2 containing light-by-light-scattering subdiagrams. In the case of electron g-2, they consist of 492, 480, and 630 vertex Feynman diagrams, respectively. The results of numerical integration, including mass-dependent terms containing muon loops, are 1.8418(95) (alpha/pi)^5 for the Set VI(d), -1.5918(65) (alpha/pi)^5 for the Set VI(g), and 0.1797(40) (alpha/pi)^5 for the Set VI(h), respectively. We also report the contributions to the muon g-2, which derive from diagrams containing an electron, muon or tau lepton loop: Their sums are -5.876(802) (alpha/pi)^5 for the Set VI(d), 5.710(490) (alpha/pi)^5 for the Set VI(g), and -8.361(232) (alpha/pi)^5 for the Set VI(h), respectively.