Vertex diagrams for the QED form factors at the 2-loop level
| dc.creator | Bonciani, R. | |
| dc.creator | Mastrolia, P. | |
| dc.creator | Remiddi, E. | |
| dc.date | 2003-01-21 | |
| dc.date | 2004-06-25 | |
| dc.date.accessioned | 2026-07-07T10:33:14Z | |
| dc.date.available | 2026-07-07T10:33:14Z | |
| dc.description | 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 $ε= (4-D)/2$ 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 $ε$ of the MI's up to zeroth order expressed in close analytic form in terms of Harmonic Polylogarithms. | |
| dc.description | A few misprints have been corrected. The results are now available at http://pheno.physik.uni-freiburg.de/~bhabha, as FORM input files | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0301170 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0301170 | |
| dc.identifier | Nucl.Phys.B661:289-343,2003; Erratum-ibid.B702:359-363,2004 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2004.08.009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179039 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Vertex diagrams for the QED form factors at the 2-loop level | |
| dc.type | text |