Photon-photon scattering contribution to the anomalous magnetic moment of the electron

Abstract

A careful and systematic recomputation of the photon-photon scattering contribution to the sixth-order electron magnetic-moment anomaly is made. The result is $a_e^{\mathrm{}\left(6\right)\mathrm{}}\left(\gamma \gamma \right)=(0.400\mathrm{}\pm 0.006){\left(\frac{\alpha }{\pi }\right)}^3$ leading to the theoretical value $a_e^{\mathrm{th}}=(1159652.74\mathrm{}\pm 0.30)\times {10}^{-9\mathrm{}}$.