A new method for the calculation of massive multiloop diagrams

Details A new method for the calculation of massive multiloop diagrams A new method for the calculation of massive multiloop diagrams

1997-12-19

arxiv.org/abs/hep-ph/9712449v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 1 fig, LaTeX, more examples, higher accuracy due to better program, typos corrected, references added

Scientific paper

Starting from the parametric representation of a Feynman diagram, we obtain it's well defined value in dimensional regularisation by changing the integrals over parameters into contour integrals. That way we eventually arrive at a representation consisting of well-defined compact integrals. The result is a simple transformation of the integrand which gives the analytic continuation of a wide class of Feynmanintegrals. The algorithm will especially be fit for numerical calculation of general massive multi-loop integrals. An important advantage of this method is that it allows us to calculate both infinite and finite parts independently.

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