====== TTP03-21 Vertex diagrams for the QED form factors at the 2-loop level ====== We carry out a systematic investigation of all the 2-loop integrals occurring in the electron vertex in QED in the continuous $D$-dimensional regularization scheme, for on-shell electrons, momentum transfer $t=-Q^2$ and finite squared electron mass $m_e^2=a$. We identify all the Master Integrals (MI's) of the problem and write the differential equations in $Q^2$ which they satisfy. The equations are expanded in powers of $\epsilon = (4-D)/2$ and solved by the Euler's method of the variation of the constants. As a result, we obtain the coefficients of the Laurent expansion in $\epsilon$ of the MI's up to zeroth order expressed in close analytic form in terms of Harmonic Polylogarithms |**R. Bonciani, P. Mastrolia and E. Remiddi** | |** Nucl.Phys.B 661 289-343 2003 ** | | {{preprints:2003:ttp03-21.pdf|PDF}} {{preprints:2003:ttp03-21.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0301170|arXiv]] | | |