Recursive method to obtain the parametric representation of a generic Feynman diagram

Details Recursive method to obtain the parametric representation of a generic Feynman diagram Recursive method to obtain the parametric representation of a generic Feynman diagram

2005-08-01

arxiv.org/abs/hep-th/0508013v1

Phys.Rev. D72 (2005) 106006

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 2 figures

Scientific paper

10.1103/PhysRevD.72.106006

A recursive algebraic method which allows to obtain the Feynman or Schwinger parametric representation of a generic L-loops and (E+1) external lines diagram, in a scalar $\phi ^{3}\oplus \phi ^{4}$ theory, is presented. The representation is obtained starting from an Initial Parameters Matrix (IPM), which relates the scalar products between internal and external momenta, and which appears explicitly when this parametrization is applied to the momentum space representation of the graph. The final product is an algorithm that can be easily programmed, either in a computer programming language (C/C++, Fortran,...) or in a symbolic calculation package (Maple, Mathematica,...).

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