Fourth-order radiative corrections to electron-photon vertex and the Lamb-shift value

• DOI: 10.1007/bf02723430
• Publication Date: 2007-12-18T08:57:34Z
• Authors: R. Barbieri; J. A. Mignaco; E. Remiddi
• Keywords: 0103 physical sciences; 01 natural sciences; 7. Clean energy

The slope of the charge form factor of the electron is analytically evaluated in fourth-order perturbation theory of QED and found to bem2F′1(0)=(α/π)2[−4819/5184−(49/72)ζ(2)+3ζ(2) log 2−(3/4)ζ(3)]==(α/π)2·0.470. Correspondingly the theoretical Lamb-shift value for the hydrogen atom is Δν(2S1/2−2P1/2)=(1057.90±0.09) MHz, in agreement with experiments.