Dimensionally Regulated Pentagon Integrals

Details Dimensionally Regulated Pentagon Integrals Dimensionally Regulated Pentagon Integrals

1993-06-07

arxiv.org/abs/hep-ph/9306240v2

Nucl.Phys.B412:751-816,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

56 pages (including figures), signs corrected in eq. (4.65)

Scientific paper

10.1016/0550-3213(94)90398-0

We present methods for evaluating the Feynman parameter integrals associated with the pentagon diagram in 4-2 epsilon dimensions, along with explicit results for the integrals with all masses vanishing or with one non-vanishing external mass. The scalar pentagon integral can be expressed as a linear combination of box integrals, up to O(epsilon) corrections, a result which is the dimensionally-regulated version of a D=4 result of Melrose, and of van Neerven and Vermaseren. We obtain and solve differential equations for various dimensionally-regulated box integrals with massless internal lines, which appear in one-loop n-point calculations in QCD. We give a procedure for constructing the tensor pentagon integrals needed in gauge theory, again through O(epsilon^0).

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