Analytical Result for Dimensionally Regularized Massless On-Shell Planar Triple Box

Details Analytical Result for Dimensionally Regularized Massless On-Shell Planar Triple Box Analytical Result for Dimensionally Regularized Massless On-Shell Planar Triple Box

2003-05-13

arxiv.org/abs/hep-ph/0305142v1

Phys.Lett. B567 (2003) 193-199

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, LaTeX with axodraw.sty

Scientific paper

10.1016/S0370-2693(03)00895-5

The dimensionally regularized massless on-shell planar triple box Feynman diagram with powers of propagators equal to one is analytically evaluated for general values of the Mandelstam variables s and t in a Laurent expansion in the parameter \ep=(4-d)/2 of dimensional regularization up to a finite part. An explicit result is expressed in terms of harmonic polylogarithms, with parameters 0 and 1, up to the sixth order. The evaluation is based on the method of Feynman parameters and multiple Mellin-Barnes representation. The same technique can be quite similarly applied to planar triple boxes with any numerators and integer powers of the propagators.

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