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Geometrical Splitting and Reduction of N-point Feynman Diagrams

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Geometrical Splitting and Reduction of N-point Feynman Diagrams
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Abstract
A geometrical approach to the calculation of N-point Feynman diagrams is reviewed. It is shown how the geometrical splitting of N-point diagrams can be used to simplify the parametric integrals and reduce the number of variables in the occurring functions. Moreover, such a splitting yields useful connections between Feynman integrals with different momenta and masses. Calculation of the one-loop two-, three-and four-point functions in general kinematics is presented. The work on this approach was started in the 1990s in Tasmania, within a project where Bob Delbourgo and Dirk Kreimer were involved.