Vertex function
$e^-e^-\gamma$
The dressed vertex $\Gamma^\mu(p,p')$: the sum of all 1PI corrections to the electron-photon vertex. Decomposes into the Dirac form factor $F_1(q^2)$ (charge) and the Pauli form factor $F_2(q^2)$ (magnetic moment). The one-loop correction gives the Schwinger result $F_2(0) = \alpha/2\pi$.
Tree-level diagrams
1 diagram.
Order $\alpha$ diagrams
2 diagrams.