Positronium resonance contribution to the electron g-2

Abstract

Recently a few authors pointed out that the positroniums give rise to an extra contribution to the electron $g-2$ with the magnitude comparable to the $O({\alpha }^5)$ perturbative effect, which is not taken into account in the perturbative calculation up to $O({\alpha }^5)$. Here, we scrutinize how the positronium resonances contribute to the electron $g-2$ through the vacuum polarization function, and conclude that there is no additional sizable $O({\alpha }^5)$ contribution to the electron $g-2$.

Comments: 9 pages, 4 figures, further explanation added