An easy way to solve two-loop vertex integrals

Details An easy way to solve two-loop vertex integrals An easy way to solve two-loop vertex integrals

1997-12-11

arxiv.org/abs/hep-th/9712108v2

Phys.Rev. D58 (1998) 047701

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX, 4 figures, misprints corrected

Scientific paper

10.1103/PhysRevD.58.047701

Negative dimensional integration is a step further dimensional regularization ideas. In this approach, based on the principle of analytic continuation, Feynman integrals are polynomial ones and for this reason very simple to handle, contrary to the usual parametric ones. The result of the integral worked out in $D<0$ must be analytically continued again --- of course --- to real physical world, $D>0$, and this step presents no difficulties. We consider four two-loop three-point vertex diagrams with arbitrary exponents of propagators and dimension. These original results give the correct well-known particular cases where the exponents of propagators are equal to unity.

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