Vertex diagrams for the QED form factors at the 2-loop level

Details Vertex diagrams for the QED form factors at the 2-loop level Vertex diagrams for the QED form factors at the 2-loop level

2003-01-21

arxiv.org/abs/hep-ph/0301170v4

Nucl.Phys.B661:289-343,2003; Erratum-ibid.B702:359-363,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

A few misprints have been corrected. The results are now available at http://pheno.physik.uni-freiburg.de/~bhabha, as FORM inp

Scientific paper

10.1016/j.nuclphysb.2004.08.009

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.

Affiliated with

Also associated with

No associations

Rating

Vertex diagrams for the QED form factors at the 2-loop level does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Vertex diagrams for the QED form factors at the 2-loop level, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vertex diagrams for the QED form factors at the 2-loop level will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-571179