TY - JOUR

T1 - Recursive method to obtain the parametric representation of a generic Feynman diagram

AU - González, Iván

AU - Schmidt, Iván

PY - 2005/11/15

Y1 - 2005/11/15

N2 - A recursive algebraic method which allows one to obtain the Feynman or Schwinger parametric representation of a generic L-loops and (E+1) external lines diagram, in a scalar 34 theory, is presented. The representation is obtained starting from an initial parameters matrix, which relates the scalar products between internal and external momenta, and which appears directly when this parametrization is applied to the momentum space representation of the graph. The final product is an algebraic formula that shows explicitly the external momenta dependence and also an algorithm that can be easily programmed, either in a computer programming language (C/C++, Fortran,...) or in a symbolic calculation package (Maple, Mathematica,...). © 2005 The American Physical Society.

AB - A recursive algebraic method which allows one to obtain the Feynman or Schwinger parametric representation of a generic L-loops and (E+1) external lines diagram, in a scalar 34 theory, is presented. The representation is obtained starting from an initial parameters matrix, which relates the scalar products between internal and external momenta, and which appears directly when this parametrization is applied to the momentum space representation of the graph. The final product is an algebraic formula that shows explicitly the external momenta dependence and also an algorithm that can be easily programmed, either in a computer programming language (C/C++, Fortran,...) or in a symbolic calculation package (Maple, Mathematica,...). © 2005 The American Physical Society.

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U2 - 10.1103/PhysRevD.72.106006

DO - 10.1103/PhysRevD.72.106006

M3 - Article

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

ER -